1. Field of Invention
The present invention relates generally to flow rate sensing apparatus, and particularly to micro-fluidic methods applied to cylinder head gaskets for internal combustion engines. More specifically, the invention relates to apparatus and methods for measuring temperatures of fluids passing through apertures of cylinder head gaskets.
2. Description of the Prior Art
It is known to employ electronic sensors in cylinder head gaskets for sealing between engine components including, for example, the block and cylinder head of a multi-cylinder internal combustion engine. In one case, the gasket comprises a sealing plate having several combustion chamber orifices, and combustion chamber sealing elements at the edges of the sealing plate surrounding the combustion chamber orifices. The gasket includes sensor elements for cylinder-specific detection of sealing movements perpendicular to the plane of the sealing plate, caused by pressure changes in respective combustion chambers being measured. All of the sensor elements are arranged outside of the combustion chamber sealing elements and can be piezoelectric and piezoresistive, as well as glass fiber lightguide-style sensors.
In another example, a gasket enclosed sensor system is employed for measurement of combustion chamber parameters and delivery of signals to points external of the engine. The gasket includes a combustion opening substantially surrounding a combustion chamber, and includes an access opening extending from the combustion chamber to a point external of the engine. A metallic sensor terminal is positioned within the access opening, and insulating material substantially surrounds the metallic sensor terminal.
In yet another example, an oil flow sensor and associated circuitry are used to indicate presence of oil flow in a multi-cylinder internal combustion engine. The oil sensor includes a heating element positioned within the oil line, directly in the oil flow path. A comparator measures the value of signals from upstream and downstream heat sensors, and triggers a switching circuit when the temperature at the sensors approach one another to indicate an adequate oil flow to the engine. The disclosed oil flow sensor, however, is not associated with a combustion chamber gasket environment.
a and 15b are diagrams that illustrate results obtained through experiments utilizing the test fixture of
The present invention provides an improved flow sensor for an automotive gasket. The flow sensor is designed to be embedded between layers of a multiple-layered combustion sealing gasket, typically including layers of metallic material such as steel, and is particularly effective to measure changes in temperatures of coolants or oil flowing through apertures of the gasket. The gasket of the disclosed embodiments is subjected to a range of temperatures including environmental ambient temperature and an elevated operational temperature such as that which takes place in an internal combustion engine.
Theoretical Considerations
Governing Equations of Hot-Wire (Film) Anemometry Application
1) Governing equation:
where, E=thermal energy stored in wire
Ew=Cw·Ts
Cw=heat capacity of wire
W=power generated by joule heating
W=i2·Rw
Rw=f(Tw)
H=heat transferred to surroundings
For equilibrium conditions the heat storage is zero: W=H and the Joule heating W equals the convective heat transfer H.
Here, H=Σ (convection to fluid+conduction to supports+radiation to surroundings) where,
h=film coefficient of heat transfer
A=heat transfer area
d=wire diameter
kf=heat conductivity of fluid
Nu=dimensionless heat transfer coefficient
Forced convection regime, i.e. Re>Gr1/3 (0.02 in air) and Re<140→
Nu=A1+B1·Ren=A2+B2·U
I2Rw2=Ew2=(Tw−Ta)(A+B·Un) “King's law”
The voltage drop is used as a measure of velocity or temperature.
3) The Resistance of Sensor Element is
Wire resistance can be written as: Rw=Ro[1+αo(Tw−To)]
Rw=wire hot resistance
Ro=wire resistance at To
αo=temperature coefficient of resistance (TCR)
σo=thermal conductivity
ρo=thermal resistivity(1/σo)
Tw=wire temperature
To=reference temperature
Define: “OVERHEAT RATIO” as: a=Rw/Ra
The voltage across wire is given by: Ew2=I2Rw2=Rw(Rw−Ra)(A1+B1Un) or as Rw is kept constant by the servoloop: Ew=A+BUn
4) Velocity and Temperature Sensitivity
E
w
2
/R
w
=I
2
R
w=(Rw−Ra)(A1+B1Un)
CT mode: ew=S74θ+Suu (ew=fluctuating voltage signal)
CC mode: ew=Sθ,ccθ+Su,ccu
Modes of Anemometer Operation
1) Constant current anemometer (CCA)—FIG. 1.
2) Constant Temperature Anemometer (CTA)—FIG. 2.
3) Note following comments to CTA and to CCA—FIG. 3:
4) Non-Isothermal Condition with CT Mode
For accurate velocity measurements, a hot-wire probe is usually operated at a high overheat ratio, making the ratio of the velocity sensitivity to the temperature sensitivity large. On most of the recent experimental methods, the smaller temperature term in equation is treated as a correction term, with the fluctuating temperature, measured independently by the resistive-wire (or Cold-wire) method. Sθ=Sθ,s Hp′ where, Hp′ is the lower than unity and it is the plateau level of the transfer function, Hθ(f).
The measurement of θ is usually carried out with a thin resistive-wire operated in the CC mode, and the following relationship applies for the measured temperature fluctuation, θm=Hpθ. Here, Hp is the plateau level of the amplitude transfer function for the temperature fluctuations of the resistance-wire.
ew=Suu+Sθθ=Suu+Sθ,s(Hp′/Hp)θ
where
5) Sensitivity Evaluation of Copper Film
The resistance of sensor element is
1) Constant Current Anemometer (CCA)
For analysis of wire dynamic response, governing equation includes the term due to thermal energy storage within the wire:
W=H+dE/dt
The equation then becomes a differential equation:
I2Rw=(Rw−Ra)(A+BUn)+Cw(dTw/dt) or expressing Tw in terms of Rw:
I2Rw=(Rw−Ra)(A+BUn)+Cw/αoRo(dRw/dt)
Cw=heat capacity of the wire(ρwcw(π/4)d21)
αo=temperature coefficient of resistance (TCR) of the wire
The first-order differential equation is
And also can be characterized by a single time constant τ(=M):
The normalized transfer function can be expressed as: Hwire(ω))=(1+ω2M2)−1/2 where, ω is the angular frequency. When or ω=1/M, the amplitude is reduced by −3 dB (or a factor of 1/1.414) and the corresponding phase lag is −45°.
Frequency limit can be calculated from the time constant: fcp=1/(2πM).
Frequency response of film-probes is mainly determined by the thermal properties of the backing material (substrate).
The time constant for film-probes becomes: M=τ=(R/R0)2F2rsCsks/(A+BUn)2
2) Constant Temperature Anemometer (CTA)—FIG. 5.
CTA keeps the wire at constant temperature hence the effect of thermal inertia is greatly reduced. One method to determine the dynamic response of the anemometer is to apply the electronic disturbance signal, et, to the anemometer. The electronic testing may take the form of either a square-wave or sine-wave test. Through the many theoretical and experimental works, a second order system approach may be useful to illustrate the effect of system damping. The related equation for the fluctuating bridge voltage e can be expressed as
where ω0 is the natural frequency of electronic circuit, ζ is the damping coefficient, and Su and St are the sensitivity coefficients of the velocity and electronic test signals. Assuming that the wire had an overheat ratio, Rw/Ra, of 1.5, the sensor had a time constant, M, of 0.4 ms, the amplifier had a time constant 25 μs and that the value of the system gain parameter was 1250, the natural frequency f0=(½π)w0 as 55 kHz,
The time constant can be reduced to
τCTA=τCCA/(2a S Rw)
where α=overheat ratio
For the direct method to be used, it is necessary to have a flow in which sinusoidal velocity variations of known amplitude are superimposed on a constant mean velocity
A suggested electric circuit to measure the ambient temperature and/or flow velocity is illustrated in FIG. 7. The circuit may be used to find the variation relationship between E and Rw or Voltage drops based on the constant current source.
Specific Embodiments
In the disclosed embodiments, a fluid flow sensor system includes a thermal resistor type of sensor responsive to changes in fluid temperature and flow velocity. The system is based upon hotwire anemometer technology and provides a thermal transducer mechanism for sensing a known quantity of heat applied to a wire. The rate at which heat is transferred from the wire is proportional to the difference in temperatures of the sensor wire and of the fluid passing over the wire as a function of fluid velocity. The relationship can be described as: Q=k(Tsensor−Tfluid)·v, where Q is the rate of heat transfer, k is a constant, T sub sensor is the temperature of the sensor, T sub fluid is the temperature of the fluid, and v is the velocity of the fluid.
The heat Q delivered to the sensor is proportional to the square of the current I passing through a wire that has a resistance R, so that: Q=RI2.
Using two adjacent thermal resistors at different levels of bias current would allow measurement of the two unknowns Tfluid and v. In this case, heat supplied to one sensor subsystem will transfer to the other sensor subsystem at a rate dependent on the fluid velocity. Thus, one sensor subsystem comprising a first thermal resistor would maintain a sufficient temperature differential with the fluid by taking heat from the bias current, while the other sensor subsystem comprising a second thermal resistor approaches and can be virtually at thermal equilibrium with the fluid. This is the principle by which some mass flow controllers control the flow rate. It may also be possible to use only one thermal resistance sensor to accomplish the same task by time multiplexing measurements performed at different bias currents. Thus, a single sensor acts as both sensor subsystems.
The temperature sensors used for the flow measurement will be based on the change in the electrical conductivity of a conducting material due to a change in the ambient temperature. Such a sensor can be called thermal resistor. It consists of the main resistance with external leads and auxiliary leads for voltage sensing as illustrated in FIG. 8. Change in the resistance of the main resistor is, to the first order approximation, proportional to the change in temperature. To measure change in the resistance, a small current will be injected through the main resistor leads and voltage will be measured across voltage sensing leads. This method of resistance measurement is known as the “four point” method since four contact points are needed. The advantage of this method is that it circumvents the difficulty associated with the effects of lead and contact resistances, which could dominate the overall resistance.
The sensor described above also has several advantages over the thermocouple type sensors. For one, thermocouple sensors would require two different metals for its operation. This complicates the sensor fabrication. In addition, the problem of cold junction (or reference junction) would have to be solved for thermocouple sensors. Lastly, as will be described below, the measurement of flow and temperature together could be based on regulating the amount of heat produced next to or by the temperature sensor.
In terms of the described embodiment, a micro-fluidic thermal transducer senses point velocity of fluid flow by measurement of temperature variations in a heated resistive wire. A primary resistance with external leads and separate auxiliary leads for voltage sensing is employed, wherein changes in resistance are proportional to changes in temperature. For measurement of change of resistance, a small current is applied through the primary resistor leads, and voltage is measured across voltage sensing leads. Thus, a four-point wire probe measurement method is employed, which provides a most accurate reading of desired temperature data to the extent that any resistances associated with lead and/or contact resistances are minimized. By the application of a known current through the wire probe, any changes in voltage are more accurately associated with fluidic temperature changes rather than with contact or lead resistances.
The temperature of the thermal resistor can be obtained from the following relations
where R0 is the resistance at some reference temperature T0, σ0 is the conductivity at the reference temperature, l, ω, τ are the length, width, and thickness of the conducting wires, respectively, l is the bias current, V is the measured voltage, a is the thermo-resistance coefficient and, finally, T is the sensor temperature.
To appreciate the sensitivity of the proposed thermal resistor it is helpful to consider some specific numerical values of geometric and physical quantities in (3). The following list of numerical values will be assumed for the purpose of estimation:
Using the above numbers, the relative change in the voltage signal per degree Celsius is given by
the sensor resistance will be around 25 Ohms and the voltage signal itself is ΔV=2.5×10−3 Volts=2.5 mV. This voltage signal is much larger than the typical thermocouple generated voltage signal. At the same time, noise coming from the thermal resistor is expected to be only a little larger than the thermocouple noise. This is due to the fact that noise increases as the square root of the wire resistance. Thus, it is expected that the proposed thermal sensor will have better sensitivity than a thermocouple.
In the described embodiment, the thermal resistor sensor is constructed of relatively thin layers of dielectric and electrically conducting materials having a low thermal mass. The dielectric layers serve as support and electrical insulation to protect the sensor from the environment. The conducting layer is a wire probe that forms the primary resistance of the sensor, and has leads that share connection junctions with auxiliary voltage sensing leads that are also connected to the primary resistance. In one disclosed embodiment, the supporting dielectric layers are formed as a flap that protrudes from the primary gasket body into the coolants or oil fluid aperture where sensing of the fluid is desired. The primary resistor is located on the flap, while all the leads are extended to areas outside of the gasket to provide electrical connection therewith.
More specifically, now referring to
Referring now to
A thermal sensing probe 40 is part of a four-point probe hot wire anemometer system employed to detect fluid flow rates through the depicted coolant aperture 34. The sensing probe 40 extends across and from a pair of soldered plates wherein a pair of current supply wires 42 are connected to supply a fixed and controlled current through the probe 40. In parallel with the wire 42 are a pair of voltage measuring wires 44 used to sense changes in voltage. In this manner, the system is sensitive to very small temperature changes.
The current and voltage wires 42 and 44 respectively are connected to an engine control unit (ECU) which modulates or controls various engine functions as a function of the sensed flow rates being measured, as will be appreciated by those skilled in the art.
To the extent that the dimensions of the probe 40 are quite small, i.e. on the order of two microns in thickness, a substrate having relative robustness is required. Normally, a preferred material for the high heat and temperature requirements of an internal combustion engine coolant flow would be a non-conductive material, including materials such as a silicone based material. Circuit printing techniques can be utilized for the manufacture of such coated wiring. Those skilled in the art will appreciate that screen printing and other circuit manufacturing techniques can be employed for this purpose.
A test fixture 50 is depicted in
The test fixture 50 includes a coolant flow aperture 34′ across which is deposited a thermal sensing probe 40′ as shown. The test fixture has a boundary or extremity 38′ similar to the boundary 38 of the gasket 30 described above. In addition, the test fixture 50 incorporates a pair of soldered plates 24′, analogous to the plates 24 of the embodiment of the cylinder head gasket 30 of FIG. 2. Also analogously, the current supply wires 42 are directly attached to the soldered plates 24 as described in the previous embodiment, and share the plates with the voltage measuring wires 44′.
To the extent that the test fixture 50 is not exposed to the harsh heat and temperature environment of an internal combustion engine, i.e., the test fixture environment was subject only to a temperature of up to 150° centigrade to simulate a hot oil environment, a parylene substrate can be employed to protect the probe wire 40′.
The Method of Manufacturing A Test Fixture
General Discussion
A Method of manufacturing a test fixture now follows. The material of choice for conductivity, particularly in a microfluidic realm where measurements are made in microns of thickness, is copper. To the extent that the copper layers are quite thin, they are normally commercially available only with an aluminum backing plate or layer, as purchased for the manufacture of printed circuit boards. Thus, one micro-fabrication process for a gasket flow sensor for the test fixture 50 was completed as described with reference to
In the first step, a commercially purchased preparation of the aluminum and copper layers is depicted as item A of
Next, in step C the aluminum is etched away from the triple layer of parylene-copper, and aluminum to obtain only a copper-parylene combination of layers 62 and 64. At this point, a photoresist material 66 is applied to the copper side of the parylene-copper structure as shown in step D.
Next, a mask 68 with a desired pattern of the four point anemometer probe is applied against the photoresist 66. Ultraviolet light, shown as rays 70, is then applied to the photoresist through the mask, which is transparent to the UV light except in those areas of the pattern to be realized on the substrate. The photoresist is pre-baked prior to application of the ultraviolet light. After application of the ultraviolet the photoresist is post-baked and developed to provide the desired sensor pattern, shown only representatively.
Finally, the copper is etched away, leaving the sensor pattern of copper on the parylene sheet as shown in Figure G. The post-etch photoresist 72 is then removed by conventional techniques, and finally the exposed copper layers 62′ of the desired pattern, which is typically discontinuous, are then covered with additional parylene so as to achieve the composite shown in sequence I.
Process for Test Sample Sensor
More specifically, test sensors for sensitivity tests could be designed and built by using the following procedure,
Sensitivity tests of microfilm sample sensor between temperature and voltage were carried out. Voltage drops of a microfilm sensor were measured by an HP34401, a multi-meter, which is shown in the schematic test setup of FIG. 13. For the calibration purpose of heated water temperature, a digital thermometer was used. Simultaneously, water temperature and voltage change of the sample sensor were recorded by hand. A four points measurement method was employed.
Based on the theoretical calculation discussed above, the sensitivity was 83.85 μV/° C. and determined as follow:
The resistance of sensor element is
To get the limitation of the applied current, the applied current was increased monotonically. Under these test conditions, water temperature was 21° C. The results are shown in FIG. 14.
From the data set forth in
In constant current mode (I=1 mA), the equation will be rewritten as
IRw=IRo[1+αo(Tw−To)]=Vw=Vo[1+αo(Tw−To)]=Vo+αoVo(Tw−To)
In case of unit overheat ratio (a≈1), temperature sensitivity of the sensor can be expressed as
Experimental tests were carried out two times with the same film sensor in cases of heating up by hot plate and cooling down in nature. The resistance of sensor of the sensor was 177.45 Ω and constant current source generated 1 mA exactly before test. But, the current was measured to 0.8420 mA after connecting the wires with the sensor. In here, consider only the resistance of real film sensor (21.5 Ω->177.45 Ω) to make sense of the experimental sensitivity. It should be influenced from the resistance of both electrodes and lengthy wires.
Sθ,cc≈α0IR0=3900e−6×177.45×0.8429e−3=583.3(μV/° C)
Through the experiments,
Flow Velocity Measurement
A. Method I
Based on Method II above, flow sensor evaluation and testing were carried out in order to obtain the sensitivity of the sample flow sensor. The test setup schematic is shown in FIG. 18. The sensor was installed between two steel plates with gaskets and hooked up the digital meter (Instek: DM8055) and constant current power supply. To calibrate the sample sensor, LU-05609 flow sensor manufactured by Cole Parmer was installed.
Test Results
1. Current vs. Resistance (No Flow)
Constant currents were applied to the sample sensor with no flow condition in order to check the burnout of the sample sensor up to 10 mA. There was no burnout with 10 mA and also current applied was linearly proportional to the resistance of a sample sensor as expected. With flow of the coolant, currents of 1 mA, 5 mA, and 10 mA were applied, respectively. With 1 mA, good results were not achieved. This may come from the fact that test sensor required more heat generations to have good heat transfer to the flow. That's one of the reasons why the applied currents were increased.
2. Flow Rate vs. Voltage Drop
Test I: flow test (5 mA)—
Test II: flow test (5 mA)—
Test III: flow test (10 mA)—
In summary, from a standpoint of testing, fluid velocity and fluid temperatures were calibrated separately. Through the measurement of fluid (water) temperature, voltage drops were linearly proportional to the fluid temperature. The sensitivity of the sample sensor was 625 μV/° C. To get this value 1 mA constant currents were applied to the same sample sensor with no flow condition. To check the burnout of a sample sensor, constant currents were applied up to 10 mA. No burnout was found of a sample sensor with 10 mA. The applied currents were linearly proportional to the resistance of the sample sensor with no flows.
For the flow rate calibration, testing tried to measure the flow rate or flow velocity with currents of 5 mA and 10 mA, respectively. Currents of 1 mA were also tried, but the results were not desirable.
From the test results, it is possible to approximate the sensitivity of a sample flow sensor, 1 mV/Gal/min. However, there were many uncertainties that resulted from the extrusion type design of the micro sensor and the non-steady-state (irregular) flows in the pipe due to various diameter changes of the test setup and the lack of sufficient distance between the valve and the sensors. Therefore, it is preferred that a cross-hole type sensor be used under appropriate circumstances to have sufficient strength for resistance to high velocity flows without deflection or flipping, and that the distance between the valve and sensors be adjusted.
It is to be understood that the above description is intended to be illustrative and not limiting. Many embodiments will be apparent to those of skill in the art upon reading the above description. Therefore, the scope of the invention should be determined, not with reference to the above description, but instead with reference to the appended claims, along with the full scope of equivalents to which such claims are entitled.
This application claims priority from U.S. Provisional Patent Application No. 60/297,701, filed on Jun. 12, 2001, the contents of which are incorporated herein by reference in their entirety.
Filing Document | Filing Date | Country | Kind | 371c Date |
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PCT/US02/19082 | 6/12/2002 | WO | 00 | 12/10/2003 |
Publishing Document | Publishing Date | Country | Kind |
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WO02/10134 | 12/19/2002 | WO | A |
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5121929 | Cobb | Jun 1992 | A |
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Number | Date | Country | |
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20040144169 A1 | Jul 2004 | US |
Number | Date | Country | |
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60297701 | Jun 2001 | US |