Parallel divided flow-type fluid supply apparatus, and fluid-switchable pressure-type flow control method and fluid-switchable pressure-type flow control system for the same fluid supply apparatus

Abstract
A fluid supply apparatus with a plurality of flow lines branching out from one pressure regulator with the flow lines arranged in parallel and constructed so that opening or closing one flow passage will have no transient effect on the steady flow of the other flow passages. Each flow passage is provided with a time delay-type mass flow controller MFC so that when one closed fluid passage is opened, the mass flow controller on that flow passage reaches a set flow rate Qs in a specific delay time At from the starting point. The invention includes a method and an apparatus in which a plurality of gas types can be controlled in flow rate with high precision by one pressure-type flow control system.
Description




BACKGROUND OF THE INVENTION




1. Field of the Invention




The present invention relates to an apparatus for supplying gases or the like for use in the production of semiconductors, chemicals, precision machine parts, etc. More specifically, this invention relates to a parallel divided flow type fluid supply apparatus so configured that when any one of a plurality of flow passages arranged in parallel is opened for fluid to flow, the effect of that operation on the flow rates in other flow passages is minimized.




The present invention also relates to a method of controlling the flow rates of various gases used in an apparatus for supplying gases or the like for use in the production of semiconductors, chemicals, precision machine parts, etc. More specifically this invention relates to a fluid switchable pressure-type flow control method and a fluid switchable pressure-type flow control system (FCS) in which the flow of various gases can be regulated with high precision by one pressure-type flow control system on the basis of flow factors.




2. Background Art




So-called mass flow controllers are now used in almost all fluid supply apparatuses for manufacturing facilities of semiconductors or chemicals.





FIG. 14

shows an example of the prior art single flow passage-type fluid supply apparatus in which such material gases G are adjusted by a regulator RG from primary pressure to secondary pressure before being sent into the flow passage. The primary pressure is usually a relatively higher pressure and detected by a pressure gauge Po. The secondary pressure is a relatively lower pressure under which the fluid is supplied to the downstream flow passage. The secondary pressure is measured by a pressure gauge P


1


.




A mass flow controller MFC is installed between valves V


1


and V


2


for control of the flow. Also provided is a mass flow meter MFM to measure the flow rate. The material gas G is used for a treatment reaction or the like in the reaction chamber C and then discharged by vacuum pump VP through a valve VV.




This single flow passage-type supply apparatus presents no problem with the treatment reaction remaining stable in the reaction chamber C as long as the material gas G is supplied in a normal state with no external disturbances or changes in flow rate.




But a problem is encountered with an arrangement in which material gas G is supplied through one regulator and branched off into two or more flow passages.

FIG. 15

shows an arrangement in which the flow of the material gas G from one regulator RG branches off to two flow passages S


1


and S


2


. In practice, a reaction chamber (not shown) is also provided on flow passage S


2


and is so arranged that gas reaction may proceed into the two reaction chambers. The same elements or components as in

FIG. 14

are indicated by the same reference characters with different suffixes given for different flow passages. Those similar elements or components will not be described again.




An experiment was conducted to study what effect the opening of one closed flow passage would have on the flow of another opened flow passage. In the experiment, the material gas was supplied through flow passage S


1


with valve V


1


and valve V


2


opened and a specific reaction proceeding in the reaction chamber C, while the flow passage S


2


remained closed with valve V


3


and valve V


4


closed. Then, the valve V


3


and valve V


4


were opened to supply the gas into the flow passage S


2


at a specific set flow rate by quickly actuating mass flow controller MFC


2


.





FIG. 16

shows the time charts of various signals. The instant the valve V


3


and valve V


4


were opened, MFC


2


and MFM


2


signals on flow passage S


2


overshot to a high peak and then fell to a constant level.




The overshooting or the transient state caused the signals of MFC


1


and MFM


1


on flow passage S


1


to change violently because of a change in pressures P


1


A, P


1


B.




This change in turn has an effect on the rate of reaction in the reaction chamber C. The external disturbance from flow passage S


2


hinders a steady reaction in the reaction chamber C on flow passage S


1


. In the process of manufacturing semiconductors, this problem could cause lattice defects in the semiconductor. In etching plasma, the process could be affected. In a chemical reaction, the oversupply or short supply of material gas G could cause finished products to change in concentration. This change could lead to unpredictable problems through “chaos phenomena.” However, little transient effect is wrought on upstream pressure Po. This is because of the presence of the regulator RG.




To eliminate the external disturbance indicated in

FIG. 16

, it is desirable to install regulator RG


1


and regulator RG


2


on the two flow passages S


1


and S


2


as shown in FIG.


17


. The regulator RG


2


could prevent the change in pressure from being felt on the upstream side when the flow passage S


2


is suddenly opened. The steady supply of the fluid in flow passage S


1


would not be affected. Conversely, the opening and closing of flow passage S


1


would have no affect on the side of flow passage S


2


.




In this connection, the regulator RG is a device to convert the high pressure fluid into low pressure fluid ready for supply to the downstream flow passage. However, the pressure changing device is itself expensive.




The number of regulators RG needed would increase with the number of flow passages. That would make the whole of the fluid supply arrangement complicated and large, sending up the costs.




In the fluid supply apparatuses shown in FIG.


14


and

FIG. 15

, only one kind of to gas is supplied. In practice, however, a plurality of kinds of material gases G are led into the reaction chamber C, one by one or simultaneously, in semiconductor manufacturing facilities.




It is also noted that the mass flow controller is used at almost all semiconductor manufacturing facilities or chemical production plants where the flow rate is required to be controlled with high precision.





FIG. 18

shows an example of the high-purity moisture generating apparatus for use in semiconductor manufacturing facilities.




Three kinds of gases—H


2


gas, O


2


gas and N


2


gas—are led into a reactor RR through valves V


1a-V




3a


with the flow rate controlled by the mass flow controllers MFC


1




a


-MFC


3




a


. The reactor RR is first purged with N


2


gas with valve V


3a


opened and valves V


1a


, V


2a


closed In the next step, the valve V


3a


is closed and valves V


1a


. V


2a


are opened to feed H


2


gas and O


2


gas into the reactor RR. Here, H


2


gas and O


2


gas are reacted with platinum as catalyst to produce H


2


O gas. The high-purity moisture thus produced is then supplied to downstream facilities (not shown).




The problem is that each mass flow controller has its linearity corrected for a specific kind of gas and a specific low rate range. That is the mass flow controller cannot be used for other than the kind of gas for which the controller is adjusted.




That is why the mass flow controllers MFC


1




a


to MFC


3




a


are installed for H


2


gas, O


2


gas and N


2


gas, respectively, i.e., one mass flow controller for one kind of gas, as shown in FIG.


18


. In a gas supply arrangement as shown in

FIG. 18

, furthermore, each of the mass flow controllers MFC


1




a


to MFC


3




a


is provided with a standby.




The mass flow controller is expensive and so are replacement parts. That increases the costs of gas supply facilities and the running costs.




Furthermore, if the mass flow controller is not replaced for a new kind of gas and, instead, the linearity is corrected every time a new gas is used, it takes long and it could happen that the operation of the manufacturing plant has to be temporarily suspended. To avoid that, it is necessary to have standby mass flow controllers for different kinds of gases ready in stock.




As set forth above, in case the flow passage from one regulator for regulation of pressure branches off into a plurality of parallel lines and each branch line is provided with a mass flow controller for regulation of the flow rate, then the opening of a branch line can cause a transient change to the other branch flow passages running in a steady state flow. This transient change in turn has an affect on the process in the reaction chamber off the branch line causing a number of problems.




If each branch line is provided with one regulator to avoid such transient changes, meanwhile that will make the fluid supply arrangement complicated and bulky boosting the costs




Furthermore, a large number of expensive standby mass flow controllers have to be stocked. That increases the costs of gas supply facilities and the running costs.




The present invention addresses these problems with the prior art.




SUMMARY OF THE INVENTION




Accordingly, it is an object of the present invention to provide a parallel divided flow type fluid supply apparatus which comprises a regulator RG to regulate the pressure of fluid, a plurality of flow passages S


1


, S


2


into which a flow of fluid from the regulator RG is divided in the form of parallel lines and mass flow controllers DMFC


1


, DMFC


2


for control of the flow rate, one controller installed on each flow passage, wherein the mass flow controller on a flow passage is so set that when the mass flow controller is actuated to open the passage for a steady flow state at a set flow rate, a delay time Δ t is allowed for the flow rate to rise from the starting point to the set flow rate value Qs.




It is another object of the present invention to provide a parallel divided flow type fluid supply apparatus wherein the delay time Δ t is adjustable.




It is still another object of the present invention to provide a parallel divided flow type fluid supply apparatus which comprises a regulator RG to regulate the pressure of fluid, a plurality of flow passages S


1


, S


2


into which a flow of fluid from the regulator RG is divided in the form of parallel lines and pressure-type flow control systems FCS


1


, FCS


2


one system installed on each flow passage, the pressure-type flow control system comprising an orifice OR, a control valve CV installed upstream thereof, a pressure detector provided between the orifice and the control valve and a calculation control circuit CCC wherein with the pressure P


1


on the upstream side of the orifice set at twice or more higher than the pressure P


2


on the downstream side, the flow rate is calculated as Qc=KP


1


(K=constant) from the pressure P


1


detected by the pressure detector and the difference between the calculated flow rate Qc and the set flow rate Qs is outputted as control signal Qy to the drive DV of the control valve and wherein the flow rate downstream of the orifice is regulated by actuating the control valve.




It is a further object of the present invention to provide a fluid-switchable pressure-type flow control method by flow factor which comprises calculating the flow rate Qc of the gas passing through the orifice according to the formula Qc=KP


1


(K=constant) with the pressure P


1


on the upstream side of the orifice set at twice or more higher than the pressure P


2


on the downstream side, wherein the flow factor FF for each kind of gas is calculated as follows:








FF


=(


k/γs


){2/(κ+1)}


1/(κ−1)


[κ/{(κ+1)


R


}]


1/2








wherein:




γs=concentration of gas in standard state




κ=ratio of specific heat of gas




R=constant of gas




k=proportional constant not depending on the type of gas




and wherein if the calculated flow rate of gas type A is Q


A


, when gas type B is allowed to flow through the same orifice under the same pressure on the upstream side and at the same temperature on the upstream side the flow rate Q


B


is calculated as follows:








Q




B


=(


FF




B




/FF




A


)


Q




A








wherein:




FF


A


=flow factor of gas type A




FF


B


=of gas type B




It is a still further object of the present invention to provide a flow factor-based fluid-switchable pressure-type flow control system which comprises a control valve, an orifice, a pressure detector to detect the upstream pressure therebetween and a flow rate setting circuit, wherein with the pressure P


1


on the upstream side held to be about twice or higher than the downstream pressure P


2


, the flow rate Qc of a specific gas type A can be calculated according to the formula Qc=KP


1


(K=constant), wherein the control valve is controlled to open or close on the basis of the difference signal between the calculated flow rate Qc and the set flow rate Qs, characterized in that there is provided storage means for storing the flow factor ratio of gas type A to gas type B (FF


B


/FF


A


) which is calculated for each kind of gas as follows:








FF


=(


k/γs


){2/(κ+1)}


1/(κ−1)


[κ/{κ+1)


R}]




1/2








Wherein:




γs=concentration of gas in standard state




κ=ratio of specific heat of gas




R=constant of gas




k=proportional constant not depending on the type of gas




and that there is provided calculation means in which in case the calculated flow rate of gas type A as reference is Q


A


and when gas type B is allowed to flow through the same orifice under the same pressure on the upstream side and at the same temperature on the upstream side the flow rate Q


B


is calculated as follows:








Q




B


=(


FF




B




/FF




A


)


Q




A


.






It is still another object of the present invention to provide a parallel divided flow type fluid supply apparatus wherein the pressure-type flow control system to be installed in any of the flow passages is the flow factor-based fluid-switchable pressure-type flow control system described above.




After extensive study of the working characteristics of the mass flow controller in FIG.


15


and

FIG. 16

, the inventors found that if the mass flow controller is opened quickly up to the set flow rate level, a large quantity of material gas suddenly flows into flow passage S


2


. As a result, the pressure P


1


A in flow passage S


1


drops transiently and causes the signal MFC


1


and signal MFM


1


to undergo a transient change.




To minimize the reflective, transient effect on flow passage S


1


of flow passage S


2


, it is important to let the gas flow into flow passage S


2


gradually. That is, after the valves V


3


, V


4


are opened, mass flow controller MFC


2


should be so controlled that the flow rate is raised from “0” to the set flow rate level in a predetermined time.




That time is called delay time Δt. The longer the delay time Δt is, the less the transient effect becomes. If this delay time Δt can be freely changed, it is possible to cope with transient changes under various conditions.




The delay time Δt depends on the size of the set flow rate value Qs, pipe diameter, type of fluids such gas. It is desirable that the delay time Δt is determined empirically under various conditions.




The effect on flow passage S


1


of flow passage S


2


has been described. Conversely, the effect on flow passage S


2


of flow passage S


1


can be considered the same way. In case the number of flow passages are more than two, the transient effect can be treated the same way.




In case there are a plurality of flow passages and if all the mass flow controllers are to be subjected to time delay control, that can minimize the transient effect of the opening of any flow passage on other flow passages.




Thinking that the mass flow controller had unique characteristics that made it difficult to absorb the transient effect, the inventors also intensively sought some other method not using the mass flow controller.




As a result, the inventors concluded that the mass flow controller cannot absorb the transient effect very well because the controller measures the flow rate on the basis of the amount of heat transfer or heat carried by the fluid, and if the change in flow rate is higher than the flow velocity, the control of the flow rate cannot follow the change in flow rate well.




Thinking that the problem could be solved by using a pressure-type flow control system that could quickly follow the change in flow rate, the inventors decided to adopt the pressure-type flow control system the inventors developed earlier and disclosed under Unexamined Japanese Patent Application No. 8-338546.




This pressure-type flow control system works on the following principle. When the pressure P


1


on the upstream side of the orifice is about twice as high as the pressure P


2


on the downstream side of the orifice, the velocity of the flow through the orifice reaches the sonic velocity, then the flow rate Qc of the flow passing through the orifice is proportional to the pressure P


1


on the upstream side of the orifice. That is given in the equation Qc=KP


1


(K: constant). In other words, it the pressure P


1


on the upstream side alone is known, the flow rate can be immediately worked out. While the mass flow controller determines the flow rate on the basis of heat transfer, the pressure-type flow control system is based on the theoretical properties of fluid. The pressure can thus be measured quickly.




If with a control valve installed on the upstream side of the orifice, the flow rate Qc is worked out by equation Qc=KP


1


and then the control valve is controlled to open or close to bring the difference from the set flow rate Qs to zero, the calculated flow rate Qc can be immediately adjusted to the set flow rate Qs. That is made possible by the rapidity with which the pressure P


1


on the upstream side of the orifice can be measured. This arrangement can well absorb such changes as shown in FIG.


16


.




While working toward development of a fluid supply apparatus using the pressure-type flow control system, furthermore, the inventors hit on a method that allows control of the flow rate without changing the basic setups for a plurality of kinds of gases by using a pressure-type flow control system in place of the traditional mass flow controller.




The pressure-type flow control system (FCS apparatus) the inventors developed earlier is to control the flow rate of the fluid with the pressure P


1


on the upstream side of the orifice held at about twice or more higher than the pressure P


2


on the downstream side. This FCS apparatus comprises an orifice, a control valve provided on the upstream side of the orifice, a pressure detector provided between the control valve and the orifice and a calculation control unit in which from the pressure P


1


detected by the pressure detector, the flow rate Qc is calculated by equation Qc=KP


1


(K: constant) and the difference between the set flow rate signal Qs and the flow rate signal Qc is outputted as control signal Qy to the drive of the control valve. characterized in that the pressure P


1


on the upstream side of the orifice is regulated by opening or closing the control valve to control the flow rate on the downstream side of the orifice.




The most significant feature of the FCS apparatus is that the flow rate Qc of the gas flowing through the orifice depends only on the pressure P


1


on the upstream side of the orifice and can be worked out by the equation Qc=KP


1


(K: constant) for one orifice and one gas type.




In other words, if the orifice and gas type are selected and the proportional constant K is set, then the actual flow rate can be calculated with merely the measurement of the P


1


on the upstream side of the orifice regardless of changes in the pressure P


2


on the downstream side of the orifice. It is the subject of the present invention to determine how the flow rate can be worked out in case the gas type is to changed and the pressure found on the upstream side is P


1


under the above-mentioned set conditions.




To solve this problem, the meaning of constant K has to be clarified.




First, let it be assumed that a gas flows out through an orifice from the high pressure region to the low pressure region. The law of continuity, law of energy conservation and law of gas state (inviscidity of gas) are applied to the flow pipe. Also, it is presupposed that adiabatic change takes place when a gas flows out.




Further, let it be assumed that the flow velocity of gas flowing out of the orifice reaches the sonic velocity at that gas temperature. The conditions for the sonic velocity to be reached are that P


1


≧about 2P


2


. In other words, the pressure ratio of P


2


/P


1


should not be higher than the critical pressure ratio of about ½.




The flow rate Q at the orifice under those conditions is obtained as follows:








Q=SP




1




/γs{


2/(κ+1)}


1/(κ−1)


{2


g


/(


RT




1


)·κ/(κ+1)}


1/2








This flow rate Q can be solved as follows:








Q=FF·SP




1


(1


/T




1


)


1/2











FF


=(


k/γs


){2/(κ+1)}


1/(κ−1)


[κ/{(κ+1)


R}]




1/2










k


=(2×9.81)


1/2


=4.429






The physical quantities including the units are as follows: Q (m


3


/sec) volumetric flow rate in standard state; S (m


3


)=sectional area of the orifice; P


1


(kg/m


2


abs)=absolute pressure on the upstream side; T


1


(K)=gas temperature on the upstream side; FF (m


3


K


1/2


/kg sec)=flow factor; k: proportional constant; γs (kg/m


3


)=concentration of gas in standard state; κ(dimensionless)=specific heat ratio of gas; R(m/K)=gas constant.




Therefore, if it is assumed that the calculated flow rate Qc (=KP


1


) is equal to the aforesaid flow rate Q, the constant K is given as K=FF·S/T


1




1/2


. It shows that the constant depends on the gas type, gas temperature on the upstream side and sectional area of the orifice. From this, it is evident that the calculated flow rate Qc depends on only flow factor FF under the same conditions, that is, the same pressure P


1


on the upstream side, the same temperature on the upstream side and the same sectional area of the orifice.




Flow factor FF, which depends on concentration γs in standard state, specific heat ratio κ and gas constant R, is a factor determined by the gas type only. That is, in case where the calculated flow rate of gas type A is Q


A


, gas type B flows under the same pressure P


1


on the upstream side, at the same temperature T


1


on the upstream side through the same orifice sectional area, the calculated flow rate Q


B


is given as Q


B


=(FF


B


/FF


A


)Q


A


where FF


A


is the flow factor of gas type A and FF


B


is flow factor of gas type B.




In other words, if the conditions are identical except for the gas type, the flow rate Q


B


for another gas can be worked out merely by multiplying the flow rate Q


A


by the flow factor ratio of FF


B


/FF


A


(FF ratio). Any gas type can be the reference gas type A. In the present invention, N


2


is used as a basis as is common practice. That is, the FF ratio is FF/FF


N


. FF


N


is the flow factor FF of N


2


gas. The physical properties and flow factors of different gases are shown in Table 1.




In calculation of FF ratios, the proportional constant K is eliminated by abbreviation. In calculating FF, therefore, the constant k may be any value. To give k as 1 (k=1) would simplify the calculation. Therefore, the proportional constant k in the respective claims is the higher in arbitrariness.




The authenticity of the aforesaid theory was confirmed in the following procedure. The first step is to flow N


2


gas to initialize the FCS apparatus and confirm that the linearity of Qc=KP


1


is established under the conditions P


1


≧2P


2


. The next step is to flow O


2


gas and set the P


1


on the upstream side of the orifice and at the temperature T


1


on the upstream side using the same orifice. O


2


gas flow rate Q


02


is worked out using the equation Q=FF ratio×Q


N


, that is, multiplying the N


2


gas flow rate Q


N


by the FF ratio of O


2


=0.9349. Meanwhile, the O


2


gas flow rate is compared with the value measured by build up method. It was confirmed that the error was within 1 percent. This shows that the aforesaid theory is correct.












TABLE 1











Physical properties and flow factors of different gases
















Gas




γs




K




R




F.F. (m


3






F.F. ratio






type




(kg/m


3


)




(dimensionless)




(m/K)




K


1/2


/kg sec)




(dimensionless)



















N


2






1.25050




1.400




30.28




0.31167




1.0000






He




0.17850




1.660




211.80




0.87439




2.8055






Ar




1.78340




1.660




21.22




0.27649




0.8871






O


2






1.42895




1.397




26.49




0.29239




0.9349






CO


2






1.97680




1.301




19.27




0.24090




0.7730






H


2






0.08987




1.409




420.62




1.16615




3.7416






CO




1.25000




1.400




30.29




0.31174




1.0002






NO




1.34020




1.384




28.27




0.29978




0.9618






N


2


O




1.98780




1.285




19.27




0.23853




0.7653






HCl




1.63910




1.400




23.25




0.27136




0.8707






NH


3






0.77130




1.312




40.79




0.38525




1.2361














As mentioned above, the flow rate Q of any gas can be calculated from the flow rate Q


N


of N


2


gas by the equation Q=FF ratio×Q


N


.




While the equation Q


N


=KP


1


is established, the P


1


on the upstream side is proportional to the opening degree of the control valve. With the N


2


gas flow rate for an opening degree of 100 percent as Q


N100


, the N


2


gas flow rate Q


N


for a certain opening degree is given as Q


N


=Q


N100


×(opening degree/100). Therefore, the flow rate Q of a gas type can be worked out as Q=FF ratio×Q


N100


×(opening degree/100). The FF ratio in this case is FF/FF.




This formula for calculation of the flow rate is useful in finding the actual flow rate Q of gas from the opening degree of the control valve. But it is clear that the formula is identical with the aforesaid equation Q=FF ratio×Q


N


.




Additional objects, features and advantages of the present invention will become apparent from the Detailed Description of Preferred Embodiments, which follows, when considered together with the attached figures.











BRIEF DESCRIPTION OF THE DRAWINGS





FIG. 1

is a schematic diagram of an embodiment of the parallel divided flow type fluid supply apparatus using the time delay-type mass flow controller according to one embodiment of the present invention.





FIG. 2

is a concrete schematic diagram of the time delay-type mass flow controller in FIG.


1


.





FIG. 3

is a time chart of various signals in the apparatus of

FIG. 1

with a delay time Δt of 0.5 second.





FIG. 4

is a time chart of various signals in the apparatus of

FIG. 1

with a delay time Δt of 1 second.





FIG. 5

is a time chart of various signals in the apparatus of

FIG. 1

with a delay time Δt of 4 seconds.





FIG. 6

is a time chart of various signals in the apparatus of

FIG. 1

with a delay time Δt of 7.5 seconds.





FIG. 7

is a schematic diagram of an embodiment of the parallel divided flow type fluid supply apparatus according to another embodiment of the present invention using the pressure-type flow control systems.





FIG. 8

is a concrete schematic diagram of the pressure-type flow control system in FIG.


7


.





FIG. 9

is a time chart of various signals in the apparatus of FIG.


7


.





FIG. 10

is an arrangement diagram showing an application example of the fluid switchable pressure-type flow control system (FCS) in which three kinds of fluids are supplied through two FCS apparatuses at different flow rates.





FIG. 11

is an arrangement diagram showing another application example of the fluid switchable pressure-type flow control system (FCS) in which four kinds of fluids are supplied through two FCS apparatuses at different flow rates.





FIG. 12

is a block diagram of a fluid switchable pressure-type flow control system (FCS) according to a still further embodiment of the present invention.





FIG. 13

is a block diagram of another fluid switchable pressure-type flow control system (FCS) according to the embodiment of FIG.


12


.





FIG. 14

is a schematic diagram of the prior art single flow passage fluid supply apparatus.





FIG. 15

is a schematic diagram of the prior art two flow passage fluid supply apparatus.





FIG. 16

is a time chart of various signals in the apparatus of FIG.


15


.





FIG. 17

is another schematic diagram of the prior art two flow passage type fluid supply apparatus.





FIG. 18

is an arrangement diagram of a known high-purity moisture generating apparatus for semi-conductor manufacturing facilities.











DESCRIPTION OF THE PREFERRED EMBODIMENTS




EXAMPLE 1




Time Delay Type Mass Flow Controller





FIG. 1

is a schematic diagram of an embodiment of the parallel divided flow type fluid supply apparatus using the time delay-type mass flow controller according to the present invention. In

FIG. 1

, Po indicates a pressure gauge for measurement of supply pressure; P


1


A, P


1


B, pressure gauges for measurement of primary pressure; V


1


to V


4


valves; DMFC


1


, DMFC


2


, time delay-type mass flow controllers for control of flow rate; MFM


1


, MFM


2


, mass flow meters for measurement of flow rate; C, a reaction chamber; VV


1


, VV


2


, valves; VP


1


, VP


2


, vacuum pumps; and S


1


, S


2


, flow passages. The arrows indicate the direction of flow. Those components are given different suffixes on different flow passages.

FIG. 1

is identical with

FIG. 15

in arrangement.





FIG. 2

is a schematic diagram of the same time delay-type mass flow controller as in flow passage S


2


. In the figure, VC indicates a valve detector to detect the close-to-open operation of valves V


3


, V


4


; ST, a flow rate setter; DT, time delay unit; PS, power source; DP, display; AMP, amplifier; BG, bridge circuit; CC, comparison circuit; and VP, valve unit. Further, BP designates bypass; SP, sensor; US, sensor on the upstream side; and DS, sensor on the downstream side.




The operation of the time delay type mass flow controller of

FIG. 1

will now be explained.




Let it be assumed that the gas is flowing in flow passage S


1


on a steady basis with valve V


1


and valve V


2


kept open and with a stable gas reaction taking place in the reaction chamber C. Then, valve V


3


and valve V


4


are opened to allow the gas to flow into time delay-type mass flow controller DMFC


2


.




Initially, the valve unit VP is fully closed. When the valve detector VC detects that valve V


3


and valve V


4


turn from close to open positions, the delay time unit DT begins to work after short time t


o


. This short stop time t


o


, which may be zero, is allowed as time to settle the turbulence of the gas flow following the opening of valve V


3


and valve V


4


.




The time delay unit DT allows delay time Δt. This is the time for the valve unit VP to gradually open to the flow rate Qs set by the flow rate setter ST. This delay time Δt is for the valve unit VP to open slowly so as to minimize the affect on other flow passages. Thus, the turbulence can be kept down by allowing short stop time t


o


and delay time Δt. The time to settle the initial turbulence can be properly adjusted by making those times t


o


and Δt variable.




In the present example, valve V


3


and valve V


4


are opened simultaneously and the short stop time t


o


is set relatively long at 2 to 3 seconds. If the short stop time t


o


is set at zero or not longer than 0.5 seconds, the time difference in opening (or closing) time between valve V


3


and valve V


4


is a great factor in determining the affect on the other flow passage S


1


.




In case the short stop time t


o


is very short, therefore, flow passage S


2


is opened this way. That is, valve V


4


is first opened and some one second later valve V


3


is opened. In closing the flow passage S


2


, valve V


3


is first closed. Then, valve V


4


is closed some one second later. That is, it is desirable to take care not to apply large fluid pressure on the mass flow controller DMFC


2


on the flow passage S


2


side.




The gas flow is divided into bypass section BP and sensor section SP. In the sensor section SP, the heat generated by the sensor US on the upstream side is detected by sensor DS on the downstream side, and the instantaneous flow rate Q is calculated by bridge circuit BG. After passing through amplifier AMP, the instantaneous flow rate Q is compared with the set flow rate Qs in comparison circuit CC. The valve unit VP is opened in the aforesaid delay time Δt. When the set flow Qs is reached, the valve unit VP is maintained in that position.





FIG. 3

to

FIG. 6

show time charts of various signals with different delay times Δt. In those examples of measurements, delay time Δt is defined as the time required for the set flow rate to reach 80 percent, that is, the time it takes for the instantaneous flow rate Q to rise up to 80 percent of the set flow rate Qs. Delay time Δt is defined in many other ways. It is understood that those other definitions of delay time fall within the scope of the present invention.




Different drawings show time charts with different delay times Δt:

FIG. 3

, delay time Δt=0.5 seconds;

FIG. 4

, delay time Δt=1.8 seconds;

FIG. 5

, delay time Δt=4 seconds:

FIG. 6

, delay time Δt=7.5 seconds. The short stop time t


o


can be set freely. In

FIG. 3

to

FIG. 6

, it is set at 3 to 5 seconds. The short stop time t


o


may be still shorter.




Signals shown in

FIG. 3

to

FIG. 6

were measured under the same conditions as those in

FIG. 12

except that the time delay type mass flow controllers DMFC


1


, DMFC


2


were used instead of mass flow controllers MFC


1


, MFC


2


. A comparison of those time charts show that as the delay time Δt gets longer, the transient effects on the respective signals fall further. That demonstrates that the sharp drop in transient changes of signals P


2


A, DMFC


1


and MFM


1


especially on flow passage S


1


well achieves the object of the present invention—the object to minimize the effect on flow passage S


1


of the opening of flow passage S


2


.




EXAMPLE 2




Pressure Type Flow Controller





FIG. 7

is a schematic diagram of an embodiment of the parallel divided flow type fluid supply apparatus according to a further embodiment of the present invention in which pressure-type flow control systems are used.

FIG. 7

is identical with

FIG. 1

in arrangement except that pressure-type flow control systems FCS


1


, FCS


2


are used in place of time delay type mass flow controllers DMFC


1


, DMFC


2


. No description of like components will be repeated.





FIG. 8

is a schematic diagram of the pressure-type flow control system FCS


1


in flow passage S


1


. The same is provided in flow passage S


2


. Referring to

FIG. 8

, OR indicates orifice; P


1


, pressure gauge on the upstream side of the orifice; AP


1


, amplifier; A/D, A-D converter; M, temperature compensator; SS, flow rate setter; CC, comparison circuit; AP


2


, amplifier; DV, drive; and CV, control valve. It is also understood that SS, CC, M and AP


2


as a whole are called calculation control circuit CCC.




The operation of the embodiment of

FIG. 7

will now be explained. Let it be assumed that a closed flow passage S


2


is suddenly opened, and its pressure change causes a reverse flow in flow passage S


1


. It has been theoretically proven that the instantaneous flow rate Q passing through the orifice OR is given in the equation Q=KP


1


(K: constant) in the pressure-type flow control system FCS if the pressure P


1


on the upstream side of the orifice is held at about twice or more higher than the pressure P


2


on the upstream side of the orifice.




The upstream pressure measured by the pressure gauge P


1


on the upstream side of the orifice is put to amplifier AP


1


and converted by A-D converter. The converted value is then compensated for temperature by temperature compensator M into a calculated flow rate Qc. This calculated Qc is the aforesaid instantaneous flow rate Q. Therefore, the equation Qc=KP


1


is established.




The set flow rate Qs is inputted from the flow rate setter SS. And the difference from the aforesaid calculated flow rate Qc is worked out as control signal Qy (Qy=Qs−Qc) by comparison circuit CC. The drive DV actuates control valve CV to bring the control signal Qy to zero.




The pressure P


1


on the upstream side of the orifice can be measured instantaneously. Therefore, the operation of control valve CV can be controlled at an electronic speed. In other words, it is possible to speed up the operation up to the mechanical limit of the control valve.




Therefore, even if the flow of gas in flow passage S


2


causes a transient change to pressure P


1


A in flow passage S


1


, control valve CV responds at a high speed so that the flow rate through the orifice is quickly brought to the set flow rate Qs. That is because the pressure-type flow rate control system corrects transient mutual changes in flow passages at a high speed and thus a steady flow is maintained.





FIG. 9

is a time chart of various signals in the embodiment shown in FIG.


7


. If the pressure-type flow control system FCS


2


is actuated with valve V


3


and valve V


4


opened, FCS


2


signal and MFM


2


signal rise from zero to reach the steady value instantaneously. Yet, FCS


1


and MFM


1


signals in flow passage S


1


continue to stay at steady values, undergoing almost no changes.




In cases where the pressure-type flow control systems FCS


2


, FCS


1


are used, no short stop time t


o


is needed after the aforesaid valve V


3


and valve V


4


are opened, that is, t


o


=0.




As set forth above, the pressure-type flow control system can quickly correct the interfering inaction between the flow passages by opening and closing a flow passage and can maintain the supply of fluid in a steady state.




EXAMPLE 3




Application Example of Fluid Switchable Pressure-type Flow Control System





FIG. 10

shows an application example of the fluid switchable pressure-type flow control system according to a still further embodiment of the present invention. This corresponds to the prior art using mass flow controllers shown in FIG.


18


. The fluid switchable pressure-type flow control system is indicated by FCS


2a


. That is, the flow rates of three kinds of gases—H


2


gas, O


2


gas and N


2


gas—are controlled by two pressure-type flow control systems FCS


1


and FCS


2a


.




In

FIG. 10

, two pressure-type flow control systems FCS


1


and FCS


2a


are required to supply H


2


and O


2


simultaneously to the reactor RR. But O


2


and N


2


do not have to be fed to the reactor RR at the same time, and the fluid switchable pressure-type flow control system FCS


2a


can be used for control of the flow rates of both O


2


and N


2


.




To generate moisture, the first step is to open valve V


3


a with valves V


1


a, V


2


a closed to purge the reactor RR. Then, the valves V


1


a, V


2


a are opened and the valve V


3


a is closed to feed H


2


gas and O


2


gas to the reactor RR. In the reactor RR, moisture, well balanced, is produced on a catalyst. This pure moisture is sent to downstream facilities.




It has been shown that H


2


gas and O


2


gas are sent into the reactor RR simultaneously. This is not always the case. In some cases, O


2


gas is first fed and then H


2


gas is supplied some time after that.




Needless to say, in case the flow rate of O


2


is controlled by a fluid switchable pressure-type flow control system FCS


2a


, the aforesaid equation Q=FF ratio×Q


N


is applied.




EXAMPLE 4




Another Application Example of Fluid Switchable Pressure-Type Flow Control System





FIG. 11

shows another application example of the fluid switchable pressure-type flow control system FCS


2a


—an example where the fluid switchable pressure-type flow control system FCS


2a


is applied to the so-called single chamber multiple process in semiconductor manufacturing facilities. If Si is going to be nitrided immediately after oxidation in

FIG. 11

, for example, the system is first purged with N


2


gas and then H


2


gas and O


2


gas are supplied to the reactor RR to oxidize Si. Then, N


2


O gas is supplied to nitride the Si oxide film. Finally, N


2


gas is supplied to purge the system.




That is why the application example of the flow control system in

FIG. 11

uses one pressure-type flow control system FCS


1


and one fluid switchable pressure-type flow control system FCS


2a


—a total of two units. But if this fluid supply apparatus is formed of the prior art mass flow controllers alone, it will be necessary to install four units. That boosts the equipment costs greatly even if the expenses for standby units are excluded.




EXAMPLE 5




An Example of Fluid Switchable Pressure-type Flow Control System





FIG. 12

is a block diagram of an embodiment of the fluid switchable pressure-type flow control system according to the present invention.




This fluid switchable pressure-type flow control system FCS


2a


comprises a control valve


2


, its drive unit


4


, a pressure detector


6


, an orifice


8


, a joint for taking gas


12


, a flow rate calculation circuit


14


, a gas type selection circuit


15


, a flow rate setting circuit


16


, an FF ratio storage means


17


, a flow rate calculator


18


, a flow rate display means


19


and a calculation control circuit


20


.




The circuit


14


for calculation of flow rate is formed of a temperature detector


23


, amplification circuits


22


,


24


, A-D converters


26


,


28


, a temperature compensation circuit


30


and a calculation circuit


32


. The calculation control circuit


20


is made up of a comparison circuit


34


and an amplification circuit


36


.




The aforesaid control valve


2


is equipped with the so-called direct touch-type metal diaphragm. Drive unit


4


is a piezoelectric element-type drive unit. Other types of drive units may also be used. They include magnetostrictive type or solenoid type, motor-driven, pneumatic type and thermal expansion type units.




The aforesaid pressure detector


6


is a semiconductor strain type pressure sensor. Other types may also be used. They include the metal foil strain type, capacitance type, magnetic resistance type sensors.




The aforesaid temperature detector


23


is a thermocouple type temperature sensor. Other known temperature sensors such as resistance bulb type may be used instead.




The aforesaid orifice


8


is an orifice made of a plate-formed metal sheet gasket provided with a bore by cutting. In place of that, other orifices may be used. They include orifices with a bore formed in metal film by etching or electric discharge machining.




The gas type selection circuit


15


is a circuit to select a gas type among H


2


gas, O


2


gas and N


2


gas. The flow rate setting circuit


16


specifies its flow rate setting signal Qe to the calculation control circuit


20


.




The FF ratio storage means


17


is a memory where the FF ratios to N


2


gas are stored. With N


2


gas as


1


, the ratio for O


2


is given as FFo/FF


N


and H


2


gas as FF


H


/FF


N


. FF


N


, FFo and FF


H


are flow factors of N


2


, O


2


and H


2


respectively. Calculation and storing of FF ratios may be arranged this way, for example. There is provided an FF calculator (not shown) which reads data from the FF storage means and works out FF ratios. The calculated FF ratios are stored in the FF ratio storage means


17


.




The flow rate calculator


18


works out the flow rate Q of the flowing gas type by Q=FF ratio×Q


N


(Q


N


: corresponding N


2


gas flow rate) using the FF ratio. The value is then shown on the flow rate display means


19


.




The operation of this fluid switchable pressure-type flow control system FCS


2d


, will now a be explained.




First, let it be assumed that the whole apparatus is initialized with N


2


gas as a reference or basis.




The gas type selection circuit


15


selects N


2


gas, and the flow rate setting circuit


16


specifies flow rate setting signal Q


e


. Control valve


2


is opened, and the gas pressure P


1


on the upstream side of the orifice is detected by pressure detector


6


. The data is sent through the amplifier


22


and the A-D converter


26


to produce digitized signals. The digitized signals are then outputted into the calculation circuit


32


.




Similarly, the gas temperature T


1


on the upstream side of the orifice is detected by temperature detector


23


and sent to the amplifier


24


and the A-D converter


28


. Thus, data is digitized and the digitized temperature signals are inputted in the temperature compensation circuit


30


.




In the calculation circuit


32


, the flow rate Q is worked out by the equation Q=KP


1


using the pressure signal P


1


. At the same time, the aforesaid flow rate Q is temperature-compensated with the compensation signals from the temperature compensation circuit


30


. The calculated flow rate Q


c


is then outputted to the comparison circuit


34


. The constant K in the equation is set for N


2


gas as mentioned earlier.




The difference signal Q


y


between the calculated flow rate Q


c


and the flow rate setting signal Q


e


is outputted from the comparison circuit


34


through the amplification circuit


36


. Then the drive unit


4


actuates and operates the control valve


2


so that the difference signal Q


y


is reduced zero. A series of those steps sends out N


2


gas to the reactor RR in

FIG. 11

at a specific flow rate.




In the FF ratio storage means


17


, the flow factor ratio for N


2


gas, that is 1, is selected. In the flow rate calculator


18


, it is found from Q=1×Q


c


that Q=Q


c


. The flow rate display means


19


displays the flow rate Q


c


of N


2


gas.




Then, the gas type selection circuit


15


selects O


2


gas, and its set flow rate Q


e


is specified by the flow rate setting circuit


16


. The aforesaid constant K is set for N


2


gas, and therefore the signal Q


e


is set in terms of N


2


gas in the present example. Similarly, the control valve


2


is so adjusted that the flow rate Q


c


calculated by the equation Q


c


=KP


1


becomes equal to Q


e


.




Even if the calculated Q


c


is equal to the flow rate setting signal Q


e


, the gas actually flowing through the orifice


8


is O


2


gas. The actual gas flow rate Q through the orifice


8


is Q=FFo/FF


N


×Q


c


.




In the FF ratio storage means


17


, therefore, FF


o


/FF


N


is selected as flow factor ratio. In the flow rate calculator


18


, the O


2


gas flow rate is calculated by the equation Q=FF


o


/FF


N


×Q


c


, and the calculated value is shown on the flow rate display means


19


.




In the present embodiment, even if O


2


gas is selected, the flow rate setting circuit


16


does not specify the actual flow rate but outputs the flow rate setting signal Q


e


in terms of the corresponding N


2


gas flow rate.




EXAMPLE 6




A Second Example of Fluid Switchable Pressure-type Flow Control System





FIG. 13

is a block diagram of a second embodiment of the fluid switchable pressure-type flow control system improved in that point. What is different from

FIG. 3

is that there is added an FF inverse ratio calculation circuit


21


with an FF ratio storage means


17


.




If, for example, the gas type selection circuit


15


selects the O


2


gas, the flow rate setting circuit


16


outputs the actual flow rate of O


2


gas as flow rate setting signal Q


e


. This signal Q


e


is concerted into the flow rate corresponding to that of N


2


gas by the FF inverse ratio calculation circuit


21


using the FF ratio of the FF ratio storage means


17


. That is, Q


e


is multiplied by the reciprocal number of the FF ratio and converted into the signal Q


k


corresponding to that of N


2


gas by the equation Q


k


=1/(FFo/FF


N


)×Q


e


. That is because the fluid switchable pressure-type flow control system is initialized with N


2


gas.




In the embodiment of

FIG. 13

, the flow rate calculator


18


is not needed. Since the flow rate setting signal Q


e


itself is the flow rate of O


2


gas, all that has to be done is to show this flow rate setting signal Q


e


on the flow rate display means


19


. Needless to say, the same is the case with H


2


gas and N


2


gas.




To summarize, the parallel divided flow type fluid supply apparatus according to the present invention can minimize the effect on other flow passages of a flow passage being opened to allow fluid to flow, because a mass flow controller is provided with a time delay feature. Therefore, the other flow passages can be maintained in a steady flow state. One regulator can control a plurality of flow passages in a steady flow state.




In the apparatus according to fourth embodiment the delay time of the mass flow controller can be freely changed and set. The apparatus achieves the most effective control to keep the flow rate steady.




In the apparatus according to the fourth embodiment, a pressure-type flow control system is adopted as a flow controller that permits high-speed control of the flow rates of the respective flow passages. The high-speed action can absorb the interfering transient changes among the flow passages. thereby making it possible to control and keep the respective flow passages in a steady state at a high speed and without failure.




The invention according to yet another embodiment provides a method of using one pressure-type flow control system for a number of different types of gases, because even if the pressure-type flow control system is initialized for gas type A (N


2


gas, for example), the flow rate can be converted through the flow factor into the flow rate of any gas type B. Thus materialized is a method of dealing with a wide range of gas types at low cost and with high precision unlike the prior art flow rate control apparatus using a mass flow meter or the flow control method in which the mass flow meter is merely replaced with the pressure-type flow control system.




While the invention has been particularly shown and described with reference to preferred embodiments, it will be understood by those skilled in this art that various changes and modifications may be made therein without departing from the spirit and scope of the invention.




List of Reference Numbers and Characters




AMP, AP


1


, AP


2


=amplifiers




A/D=A-D converter




BG=bridge circuit




BP=bypass circuit




C=reaction chamber




CC=comparison circuit




CV=control valve




CCC=calculation control circuit




DMFC


1


, DMFC


2


=time delay type mass flow controllers




DP=display




DT=time delay unit




DS=downstream sensor




DV=drive




FCS


1


, FCS


2


=pressure-type flow control systems




M=temperature compensator




MFC=mass flow controller




MFC, MFC


1


, MFC


2


=mass flow controllers




MFM, MFM


1


, MFM


2


=mass flow meters




OR=orifice




Po, P


1


A, P


2


B=pressure gauges




P


1


=pressure on the upstream side of the orifice




P


2


=pressure on the downstream side of the orifice




P


S


power source




Q


c


=calculated flow rate




Q


s


=set flow rate




RG, RG


1


, RG


2


=regulators




S


1


, S


2


=flow passages




SP=sensor




SS, ST=flow rate setting means




t


o


=short stop time




Δt=delay time




US=upstream sensor




VP=valve unit




V


1


˜V


4


, VV, VV


1


, VV


2


=valves




VP


1


, VP


2


=vacuum pumps






2


=control valve






4


=drive unit






6


=pressure detector






8


=orifice






12


=joint for taking out gas






14


=circuit for calculation of flow rate






15


=circuit for selection of gas type






16


=circuit for setting the flow rate






17


=FF ratio storage means






18


=flow rate calculation means






19


=flow rate display means






20


=calculation control circuit






21


=FF inverse ratio calculation circuit






22


,


24


=amplifier






23


=temperature detector






26


,


28


=A-D converters






30


=temperature compensation circuit






33


=calculation circuit






34


=comparison circuit






36


=amplification circuit




FCS


1


=pressure-type flow control system




FCS


2a


=pressure-type flow control system




Qc=calculated flow rate signal




Qe=flow rate setting signal




Qk=signals corresponding to the flow rate of N


2


gas




V


1


a˜V


4


a=valves



Claims
  • 1. A flow factor-based fluid-switchable pressure flow control method, comprising the steps of:calculating a flow rate Qc of gas passing through an orifice according to the formula Qc=KP1, wherein K=a constant with a pressure P1 on an upstream side of the orifice set at twice or more higher than a pressure P2 on a downstream side, wherein a flow factor FF for each kind of gas is calculated as follows: FF=(k/γs){2/(κ+1)}1/(κ−1)[κ/{(κ+1)R}]1/2 wherein: γs=concentration of gas in standard state; κ=ratio of specific heat of gas; R=constant of gas; and K=proportional constant not depending on the type of gas; and when a calculated flow rate of a gas type A is QA and gas type B is allowed to flow through the same orifice under the same pressure on an upstream side and at the same temperature on the upstream side a flow rate QB is calculated as follows: QB=(FFB/FFA)QA wherein: FFA=flow factor of gas type A, and FFB=flow factor of gas type B.
  • 2. A flow factor-based fluid-switchable pressure flow control system, comprising:a control valve for controlling a flow rate of a fluid; an orifice formed downstream of said control valve for discharging fluid; a pressure detector disposed between said control valve and said orifice for detecting a pressure between said control valve and said orifice; and a flow rate setting circuit, wherein a pressure P1 on an upstream side is held to be about twice or more higher than a downstream pressure P2, a flow rate Qc of a specific gas type is calculated as Qc=KP1, where K is a constant, wherein the control valve is controlled to open or close according to a difference signal between the calculated flow rate Qc and a set flow rate Qs, wherein storage means are provided for storing a flow factor ratio, FFB/FFA, of gas type A to gas type B calculated for each gas as follows: FF=(k/γs){2/(κ+1)}1/(κ−1)[(κ/{(κ+1)R}]1/2 wherein: γs=concentration of gas in standard state κ=ratio of specific heat of gas; R=constant of gas; K=proportional constant not depending on the type of gas; and further comprising calculation means wherein, if a calculated flow rate of gas type A is QA, and, when gas type B is allowed to flow through a same orifice under a same pressure on an upstream side and at a same temperature on an upstream side, flow rate QB for gas type B is calculated as follows:QB=(FFB/FFA)QA
  • 3. A parallel divided flow fluid supply apparatus, comprising:a pressure regulator having an upstream side and a downstream side; a plurality of parallel flow passages disposed downstream of said pressure regulator, wherein a single flow of fluid from said pressure regulator is branched into said parallel flow passages; a plurality of flow control valves disposed in said flow passages; and a plurality of flow factor-based fluid switchable pressure flow control systems for controlling of the flow rate, one controller installed in each flow passage between two of said flow control valves disposed upstream and downstream of said controller respectively; wherein said controller comprises:a control valve for controlling the flow rate of the fluid; an orifice formed downstream of said control valve for discharging the fluid; a pressure detector disposed between said control valve and said orifice for detecting pressure between said control valve and said orifice; and a flow rate setting circuit, wherein pressure P1 on an upstream side is held to be about twice or more higher than a downstream pressure P2, and the flow rate Qc of a specific gas type can be calculated as Qc=KP1, wherein K is a constant, wherein the control valve is controlled to open or close according to a difference signal between a calculated flow rate Qc and a set flow rate Qs, further comprising a storage means for storing a flow factor ratio FFB/FFA of gas type A to gas type B, which is calculated for each type of gas as follows: FF=(k/γs){2/(κ+1)}1/(κ−1)[κ/{(κ+1)R}]1/2 wherein: γs=concentration of gas in standard state; κ=ratio of specific heat of gas; R=constant of gas; k=proportional constant not depending on the type of gas; and further comprising calculation means so that when a calculated flow rate of gas type A is QA, and, gas type B is allowed to flow through a same orifice under a same pressure on an upstream side and at a same temperature on an upstream side, a flow rate QB for gas B is calculated as follows:QB=(FFB/FFA)QA.
Priority Claims (2)
Number Date Country Kind
11-108689 Apr 1999 JP
11-129109 May 1999 JP
Parent Case Info

This application is a divisional of U.S. application Ser. No. 09/734,640, filed on Dec. 13, 2000, which is now U.S. Pat. No. 6,422,264 which is a continuation of PCT/JP00/02160 filed Apr. 3, 2000. The entire disclosure of the above application is hereby incorporated by reference.

US Referenced Citations (11)
Number Name Date Kind
5146941 Statler Sep 1992 A
5633212 Yuuki May 1997 A
5669408 Nishino et al. Sep 1997 A
5816285 Ohmi et al. Oct 1998 A
5868159 Loan et al. Feb 1999 A
5911238 Bump et al. Jun 1999 A
5975126 Bump et al. Nov 1999 A
6012474 Takamoto et al. Jan 2000 A
6093662 Ohmi et al. Jul 2000 A
6210482 Kitayama et al. Apr 2001 B1
6422264 Ohmi et al. Jul 2002 B2
Non-Patent Literature Citations (1)
Entry
Marks' standard Handbook for Mechanical Enginees, Eighth edition, p. 4-47.
Continuations (1)
Number Date Country
Parent PCT/JP00/02160 Apr 2000 US
Child 09/734640 US