Cryogenic heat pipe

Information

  • Patent Grant
  • 6173761
  • Patent Number
    6,173,761
  • Date Filed
    Thursday, May 15, 1997
    27 years ago
  • Date Issued
    Tuesday, January 16, 2001
    24 years ago
Abstract
In a cryogenic loop heat pipe, a working fluid for heat transport is contained in a loop capillary tube, and a portion of the loop capillary tube is used as a heat absorbing portion (A) while a portion other than the heat absorbing portion (A) is used as a heat dissipating portion (B). In this heat pipe, when the heat exchange length of the heat absorbing portion A of the capillary tube is represented by l, and the inner diameter of the capillary tube at the heat absorbing portion A is represented by d, l and d satisfy 15d
Description




BACKGROUND OF THE INVENTION




The present invention relates to a cryogenic heat pipe having a sealed tube and designed to cool an object (to be cooled) placed on the heat absorbing side by using a refrigerator installed on the heat dissipating side and, more particularly, to a cryogenic heat pipe which can efficiently perform heat transport by properly setting the inner diameter of the above tube and the length of a heat absorbing portion.




Superconductors are known to have zero electric resistance. It is expected that the energy consumed by power equipment will be saved by applying this property to power equipment.




In order to use a superconductor, it must be cooled to a critical temperature or less by some means. As a cooling means, a scheme of cooling a superconductor by immersing it in a cryogenic liquid such as liquid helium or liquid nitrogen is generally used. With such an immersion dip cooling scheme, however, since liquid helium or liquid nitrogen which is difficult to handle is used, it is inevitable that the operation cost will rise.




Under the circumstances, a direct refrigerator cooling scheme has recently been proposed, in which the cooling stage of a refrigerator is thermally connected to a superconductor through a heat conduction member to cool the superconductor.




In power superconducting equipments, however, since large currents are involved and AC is used, a larger amount of heat is generated than in DC superconducting equipment. In addition, in the power superconducting equipment, a sufficient distance must be ensured between the refrigerator and the object to be cooled owing to the large size of the equipment and the breakdown voltage. For these reasons, a large amount of heat needs to be transferred over a long distance. This makes the temperature difference between the refrigerator and the object large, resulting in a considerable deterioration in the efficiency of the system.




Demands have therefore arisen for the development of heat transfer elements for transferring heat with a small temperature difference over a long distance. Of these elements, elements for actively transferring heat by using the movement of a fluid flowing through a heat pipe, a dream pipe, or the like are especially expected to be developed. Of these elements, especially a cryogenic loop heat pipe having a loop capillary tube has advantages. For example, this pipe has good operability because it requires no special fluid driving source, and also exhibits a high degree of freedom in installation because it can have a flexible structure as a whole.




The structure of the cryogenic loop heat pipe will be briefly described below.




The cryogenic heat pipe is formed by sealing a working fluid into a capillary tube consisting of copper and shaped into a loop.




When the loop capillary tube is to be actually used as the heat pipe, a portion of the tube is thermally connected, as a heat absorbing portion, to an object to be cooled, and the other end of the capillary tube is thermally connected, as a heat dissipating portion, to a heat absorption object, e.g., a cooling source. In many cases, these portions are connected by using blocks or the like consisting of a good heat conduction material.




When the working fluid in the heat absorbing area is heated by heat entering the heat absorbing portion, a vapor bubble is generated in the working fluid. This vapor bubble displaces the liquid around the bubble. Although this displacement force acts toward the two sides of the loop with the heat absorbing portion serving as a boundary, the force in one direction can be made stronger by, for example, finely unbalancing the arrangement. As a result, the flow component of the liquid in one direction increases, and the working fluid circulates or oscillates in the loop. This movement of the working fluid contributes to heat exchange between the heat absorbing portion and the heat dissipating portion, thus performing heat transfer. Since the latent heat of evaporation is absorbed when the fluid is evaporated at the heat absorbing portion and releases it when gas condenses at the heat dissipating portion, at a small temperature difference, a large amount of heat can be transferred in particular. For this reason, heat can be transferred in an amount 10 to 100 times that transferred by using a copper member, as a heat transfer element, which has the same cross-sectional area as that of the capillary tube.




Although the cryogenic loop heat pipe has such advantageous characteristics, the pipe does not operate if the dimensions of the capillary tube fall outside the operating conditions. For this reason, a cryogenic loop heat pipe must be designed after a sufficient examination. For example, the inner diameter of the capillary tube is empirically determined by trial and error. In addition, when the operating temperature range is determined, the type of operating fluid that is suited for this temperature range must be used. However, since optimal capillary tube inner diameter varies from one working fluid to the other, the same trial-and-error testing must be repeated.




As described above, in order to design a cryogenic heat pipe, a test must be performed under each operating condition. Currently, this problem interferes with the applications of the cryogenic loop heat pipe.




BRIEF SUMMARY OF THE INVENTION




As described above, conventionally, in order to determine the inner diameter of a capillary heat pipe, each heat pipe must be independently tested for optimization in accordance with the operating conditions such as the temperature and working fluid, resulting in poor applicability.




It is, therefore, an object of the present invention to provide a cryogenic heat pipe capable of transporting optimal heat in accordance with the operating conditions under consideration.




In order to achieve the above object, according to the first means of the present invention, there is provided a cryogenic heat pipe comprising a sealed tube in which a working fluid circulates and which has a portion used as a heat absorbing portion and a portion, other than the heat absorbing portion, that is used as a heat dissipating portion, the tube being formed to satisfy


15




d


<l<


882




d


where l is a heat exchange length of the tube at the heat absorbing portion, and d is an inner diameter of the tube at the heat absorbing portion.




In this cryogenic heat pipe, the inner diameter d of the tube preferably satisfies L<d<3L where σ is the surface tension of the working fluid, ρ


1


is the density of the working fluid in the liquid phase, ρ


v


is the density of the working fluid in the gas phase, g is the gravitational acceleration, and L is the Laplace constant given by L=[σ/{(ρ


1


−ρ


v


)g}]


0.5


.




According to this arrangement, the working fluid is driven by a vapor bubble generated in the tube at the heat absorbing portion, and moves in the tube while performing heat exchange at the heat dissipating and absorbing portions. By setting the heat transfer area of the heat absorbing portion to be larger than the minimum area with which the heat pipe properly operates, the cryogenic heat pipe can be properly operated. In addition, by setting a proper inner diameter, a cryogenic heat pipe having a high heat transport capacity can be obtained. As the working fluid of heat pipe, a fluid selected from helium, hydrogen, neon, nitrogen, oxygen, argon, and mixtures thereof can be used.




According to second means of the present invention, there is provided a cryogenic heat pipe comprising a sealed tube in which a working fluid circulates and which has a portion used as a heat absorbing portion and a portion, other than the heat absorbing portion, that is used as a heat dissipating portion, the working fluid being one member selected from the group consisting of helium, hydrogen, neon, and mixtures thereof, and the tube being formed such that the inner diameter d at the heat absorbing portion satisfies L<d<3L where σ is a surface tension of the working fluid, ρ


1


is a density of the working fluid in the liquid phase, ρ


v


is a density of the working fluid in the gas phase, g is a gravitational acceleration, and L is a Laplace constant given by L=[σ/{(ρ


1


−ρ


v


)g}]


0.5


.




In addition, when the heat exchange length of the heat absorbing portion of the tube is represented by l, and the inner diameter of the tube at the heat absorbing portion is represented by d, l and d preferably satisfy


15




d


<l<


882




d.






According to this arrangement, by setting a proper inner diameter, a cryogenic heat pipe having a high heat transport capacity can be obtained. Since the heat transfer area of the heat absorbing portion can be set to be larger than the minimum area with which the heat pipe properly operates, the cryogenic heat pipe can be properly operated.




In the first and second means, the tube preferably has the heat absorbing and dissipating portions alternately arranged in the axial direction of the tube.




In this case, the heat absorbing and dissipating portions may respectively include a plurality of heat absorbing portions and a plurality of heat dissipating portions.




In the first and second means, the heat dissipating portion is preferably located at a level higher than that of the heat absorbing portion.




According to this arrangement, since the buoyancy of a vapor bubble in the tube is added to the driving force for the working fluid, a high heat transport capacity can be expected.




In addition, the tube at the heat absorbing portion is preferably inclined at a predetermined angle or more with respect to the horizontal plane. It is more preferable that the tube at the heat absorbing portion is oriented almost in vertical direction.




With this arrangement as well, since the buoyancy of a vapor bubble generated in the tube at the heat absorbing portion is added to the driving force for the working fluid, a high heat transport capacity can be obtained.




Furthermore, if the tube is partly partitioned with respect to the flow direction of the working fluid so as to form a double tube portion forming outgoing and incoming paths, a proper operation can be performed.




Additional objects and advantages of the invention will be set forth in the description which follows, and in part will be obvious from the description, or may be learned by practice of the invention. The objects and advantages of the invention may be realized and obtained by means of the instrumentalities and combinations particularly pointed out in the appended claims.











BRIEF DESCRIPTION OF THE SEVERAL VIEWS OF THE DRAWING




The accompanying drawings, which are incorporated in and constitute a part of the specification, illustrate presently preferred embodiments of the invention, and together with the general description given above and the detailed description of the preferred embodiments given below, serve to explain the principles of the invention.





FIG. 1

is a sectional view showing a cooling apparatus incorporating a cryogenic heat pipe according to the first embodiment of the present invention;





FIG. 2

is a sectional view for explaining the meaning of the Laplace constant;





FIG. 3

is a graph showing the relationship between the inner diameter of a loop capillary tube and the heat transport when nitrogen is used as a working fluid;





FIG. 4

is a graph showing the relationship between the heat flux and the conductance at a heat transfer surface;





FIG. 5

is a graph showing the relationship between the maximum heat transport and the heat transfer length;





FIG. 6A

is a graph showing the relationship between the maximum heat transport and the heat transfer length when nitrogen is used as a working fluid;





FIG. 6B

is a graph showing an enlarged view of a portion of the graph in

FIG. 6A

;





FIG. 7

is a graph showing the relationship between the temperature of each working fluid and the Laplace constant;





FIG. 8

is a graph showing the relationship between the temperature of each working fluid and the density ratio (the ratio of the density of liquid phase to the density of vapor phase);





FIG. 9A

is a graph showing the relationship between the maximum heat transport and the heat transfer length when helium is used as a working fluid;





FIG. 9B

is a graph showing an enlarged view of a portion of the graph in

FIG. 9A

;





FIG. 10A

is a graph showing the relationship between the maximum heat transport and the heat transfer length when neon is used as a working fluid;





FIG. 10B

is a graph showing an enlarged view of a portion of the graph in

FIG. 10A

;





FIG. 11A

is a graph showing the relationship between the maximum heat transport and the heat transfer length when hydrogen is used as a working fluid;





FIG. 11B

is a graph showing an enlarged view of a portion of the graph in

FIG. 11A

;





FIG. 12

is a graph showing the relationship between the maximum heat transport and the average heat pipe temperature for each working fluid and each inclination of the capillary tube;





FIG. 13A

is a sectional view showing the second embodiment of the present invention;





FIG. 13B

is a sectional view showing a modification of the second embodiment;





FIG. 14A

is a sectional view showing the third embodiment of the present invention;





FIG. 14B

is a sectional view showing a modification of the third embodiment;





FIG. 15A

is a sectional view showing the fourth embodiment of the present invention;





FIG. 15B

is a sectional view showing a modification of the fourth embodiment;





FIG. 16A

is a sectional view showing the fifth embodiment of the present invention;





FIG. 16B

is a sectional view showing a modification of the fifth embodiment; and





FIG. 17

is a sectional view showing the sixth embodiment of the present invention.











DETAILED DESCRIPTION OF THE INVENTION




The embodiments of the present invention will be described below with reference to

FIGS. 1

to


17


.




The first embodiment of the present invention will be described first with reference to

FIGS. 1

to


12


.





FIG. 1

shows a cooling apparatus


10


incorporating a cryogenic loop heat pipe according to the first embodiment of the present invention.




Referring to

FIG. 1

, reference numeral


11


denotes an object to be cooled to, for example, the liquid nitrogen temperature level. The object


11


is placed in a vacuum vessel


12


serving as a thermal insulator.




Referring to

FIG. 1

, reference numeral


13


denotes a refrigerator. For example, the refrigerator


13


is constituted by a Gifford-McMahon refrigerator. The refrigerator


13


comprises a first cooling stage


14


and a second cooling stage


15


which is cooled to a temperature lower than that of the first cooling stage


14


and slightly lower than the liquid nitrogen temperature level. The first and second cooling stages


14


and


15


are arranged in a vacuum vessel


16


serving as a thermal insulator.




Communicating ports


17


and


18


are respectively formed in side walls of the vacuum containers


12


and


16


. These communicating ports


17


and


18


are hermetically connected to each other through a flexible connection pipe, specifically a bellows connection pipe


19


, which suppresses transfer of vibrations from the vacuum vessel


16


side to the vacuum vessel


12


side. The object


11


is thermally connected to the second cooling stage


15


of the refrigerator


13


through a cryogenic loop heat pipe


21


extending through the connection pipe


19


.




This cryogenic loop heat pipe


21


has a close loop capillary tube


25


which is, for example, a flexible thin copper tube having portion A (to be referred to as the heat absorbing portion A hereinafter) and portion B (to be referred to as the heat dissipating portion B) in the loop, the two ends of the capillary tube being joined together to form a close loop. A working fluid (nitrogen (N


2


) in this case) serving as a heat transport medium is sealed into the loop capillary tube


25


.




A heat conduction member


22


consisting of a copper block or the like and used to thermally connect a portion of the cryogenic loop heat pipe


21


to the object


11


is provided at the heat absorbing portion A. Similarly, heat conduction members


23


and


24


consisting of copper blocks or the like and used to thermally connect a portion of the cryogenic loop heat pipe


21


the heat absorbing portion A, to the second cooling stage


15


of the refrigerator


13


are provided at the heat dissipating portion B.




At the heat absorbing portion A which is one of the heat transfer points in the loop, the capillary tube


25


vertically extends through a hole


22




a


formed in the heat conduction member


22


and is brazed thereto, as shown in FIG.


2


. Similarly, at the heat dissipating portion B which is the other heat transfer point, the capillary tube


25


extends through a hole (not shown) formed in the heat conduction member


23


and is brazed thereto.




In this case, the loop capillary tube


25


consists of a copper tube having an inner diameter d that satisfies the condition,






L<


d


<3L  (1)






provided that the surface tension of the working fluid is represented by σ; the density of the working fluid in the liquid phase (the density of the liquid phase), ρ


1


; the density of the working fluid in the vapor phase (the density of the gas phase), ρ


v


; and the gravitational acceleration, g, and Laplace constant L is given by L=[σ/{(ρ


1


−ρ


v


)g}]


0.5


.




In this case, the Laplace constant L corresponds to the diameter of a vapor bubble


26


detached from the inner surface (heat transfer surface) of the loop capillary tube


25


, as shown in FIG.


2


.




Note that the portions of the loop capillary tube


25


which correspond to the heat absorbing portion A and the heat dissipating portion B must consist of a material having a high heat conductivity (good heat conduction material), e.g., a metal such as copper. However, the remaining portions need not consist of a metal, and may consist of a resin or the like because no heat exchange is required.





FIG. 3

shows the results of an experiment aimed at checking the relationship between the diameter d of the loop capillary tube


25


and the heat transport. As is apparent from this graph, when the diameter d exceeds the Laplace constant L, heat transport by the heat pipe takes place. When d (diameter)=2L, the maximum heat transport is obtained. When the diameter d is equal to or larger than 3L, the heat transport effect is very weak. As is apparent, therefore, a good heat transport effect can be obtained when the condition (1) is satisfied.




In this embodiment, since nitrogen is used as the working fluid, the diameter of a vapor bubble


26


detached from the inner surface (heat transfer surface) of the loop capillary tube


25


, i.e., the Laplace constant L, is given by L=1 (mm). According to the condition (1) and

FIG. 3

, therefore, the inner diameter d of the loop capillary tube


25


is preferably set within the range of 1 mm to 3 mm, especially 2 mm.




The heat transport effect can not be determined solely by the inner diameter d of the loop capillary tube


25


. In order to properly generate a vapor bubble


26


serving to generate a driving force in the loop capillary tube


25


, the heat transfer area of the heat absorbing portion A (the inner area of the loop capillary tube


25


at the heat absorbing portion A) must be set to a predetermined value.





FIG. 4

shows the results obtained by checking changes in conductance Q/ΔT with changes in heat flux q at the heat absorbing portion A. In this case, the conductance represents the total heat exchanged (Q) between the heat conduction member


22


and the working fluid per unit temperature change (ΔT) in the temperature difference between the block


22


and block


23


.




The heat flux q represents the heat transfer amount per unit time and unit heat transfer area. The heat flux q therefore increases as the inner circumferential surface area, i.e., the heat transfer area, of the loop capillary tube


25


at the heat absorbing portion A decreases while the total heat transfer amount is kept constant. In other words, the heat flux q increases as either the inner diameter d or the heat conduction length l of the capillary tube


25


is decreased or the both are decreased.





FIG. 4

can be thought of as showing changes in the conductance as the heat flux q is changed by decreasing the heat transfer area of the loop capillary tube


25


while the total amount of heat transfer is kept constant.





FIG. 4

shows that as the heat flux q is increased by decreasing the heat transfer area, the conductance gradually increases. This indicates that the working fluid in the loop capillary tube


25


is effective in transporting heat. The heated working fluid boils in nucleate boiling to form the vapor bubble


26


near the inner surface of the loop capillary tube


25


. The vapor bubble


26


supplies the driving force required for heat transport by way of liquid/vapor movement as shown in FIG.


2


.




In contrast to this, as shown in

FIG. 4

, when the heat flux q exceeds about 9 (kW/m


2


), the heat conductance decreases abruptly. This indicates that minute vapor bubbles generated between the vapor bubble


26


and the inner surface of the loop capillary tube


25


join each other to cause film boiling or to disintegrate bubbles such as vapor bubble


26


. The working fluid then cannot be heated anymore without the rise of temperature of heat conduction member


2


. In this state, proper vapor bubbles cannot be formed, and hence heat transport becomes drastically weak.




As described above, the heat transfer area greatly influences the heat transport of the heat pipe. The relationship between the heat transfer area and the heat transport will be examined.




According to Cryogenics, “Heat Transfer During Liquid Nitrogen Cooling of High Temperature Superconductors”, 1991, Vol. 31, P. 979, limiting heat flux qmax in natural convection in a capillary tube is given by equation (2):










q
max

=


0.0995






h
fg





ρ
v



[

σ






g


(


ρ
l

-

ρ
v


)



]


0.25




(


ρ
l


ρ
v


)

0.0638



1
+

3.97
×

10

-
3





(

l
/
d

)

1.44








(
2
)













where q


max


is the limiting heat flux per capillary tube, d is the inner diameter of the capillary tube


25


, and l is the length (heat transfer length) of the capillary tube


25


at the heat absorbing portion A.




A heat transfer area S is given by S=πdl.




Since the numerator of equation (2) is not dependent on the heat transfer area, it can be substituted by a constant a, and equation (2) can be rewritten as in equation (3):










q
max

=

a

1
+

3.97
×

10

-
3





(

l
/
d

)

1.44








(
3
)













Since the maximum heat transfer Q


max


per capillary tube is given by Q


max


=S·q


max


, it can be expressed as in equation (4):













Q
max

=

S
·

q
max








=

π






dl
·

q
max









=


a





π





dl


1
+

3.97
×

10

-
3





(

l
/
d

)

1.44











(
4
)













Equation (4) represents the maximum heat transfer Q


max


, as a function of the inner diameter d, and the heat transfer length l.




To determine the peak of Q


max


, equation (4) is once differentiated, and letting the resultant value to be 0 as in equation (5), we can obtain a value for l as l


peak


, for which the Q


max


is maximized.














dQ
max

dl

=










π






da
[


{

1
+

3.97
×

10

-
3





(

l
/
d

)

1.44



}

-









3.97
×

10

-
3


×
1.44
×


(

l
/
d

)

1.44


]






{

1
+

3.97
×

10

-
3





(

l
/
d

)

1.44



}

2


=
0













1
+

3.97
×

10

-
3





(

l
/
d

)

1.44


-

3.97
×

10

-
3


×
1.44



(

l
/
d

)

1.44



=
0








(
5
)













By numerically solving equation (5), it can be shown that:






l


peak


=82.245


d


  (6)






The peak maximum heat transfer is then obtained by substituting l


peak


in l of equation (4) s follows:






Q


peak


=25.130πad


2


  (7)







FIG. 5

is a graph representing equation (4), with the maximum heat transfer Q


max


being plotted along the ordinate, and the heat transfer length l being plotted along the abscissa.




If preferable amount of heat transfer per capillary tube is to be set to ½ or more of the maximum heat transfer Q


peak


, design heat transfer length l should fall between l


1


and l


2


as shown in FIG.


5


. In order to calculate l


1


and l


2


, value of (½)Q


peak


is substituted in equation (4) for Q


max


and the resulting equation solved for l.







Q
max

=



Q
peak

2

=



25.13





π






ad
2


2

=


a





π





dl


1
+

3.97
×

10

-
3





(

l
/
d

)

1.44
















solving the above numerically,








l




1


=15.037


d


  (8)










l




2


=881.09


d


  (9)






Therefore, in order to obtain a preferable heat transfer effect, the suitable heat transfer area may be determined by selecting the inner diameter d according to equation (1) and heat transfer length l of the capillary tube


25


at the heat absorbing portion A according to equation (10):






15.04


d<l<


881.09


d


  (10)






Equation (10) is redefined with round-numbers as follows:






15


d<l


<882


d


  (10)






In this case, the inner diameter d needs to satisfy equation (1): and more preferably, d=2L. When nitrogen is used for instance 1 (mm)<d<3 (mm) and more preferably d=2 mm.





FIGS. 6A and 6B

show the results obtained by calculating Q


max


of equation (4) when nitrogen is used as the working fluid and the inner diameter d of the capillary tube


25


is set to 2 mm. According to these FIGS., as the preferable heat transfer lengths l, should be between 31.08 mm to 1762.18.




In the cooling apparatus having the above arrangement, when the refrigerator


13


is started, heat of the object


11


is absorbed by the refrigerator


13


through a cryogenic loop heat pipe apparatus


20


. More specifically, heat of the object


11


is transferred to the heat conduction member


22


. The heat is then transferred from the heat conduction member


22


to the working fluid in the capillary tube


25


at the heat absorbing portion A through the tube wall of the capillary tube


25


which serves as a heat transfer surface.




As a result, of the heat transfer vapor bubble


26


is generated in the capillary tube


25


at the heat absorbing portion A, and a circulating or oscillatory flow of working fluid (arrow α) is generated in the cryogenic loop heat pipe


21


by the liquid displacement force and buoyancy of the vapor bubble. The vapor bubble


26


is then carried to the heat dissipating portion B by this circulating or oscillatory flow.




The tube wall of the capillary tube


25


at the heat dissipating portion B has been cooled to the condensation temperature level of the working fluid or lower. For this reason, the vapor bubble


26


which has reached the heat dissipating portion B condenses releasing latent heat of condensation. Heat of the object


11


is therefore absorbed by the refrigerator


13


through the cryogenic loop heat pipe apparatus


20


. That is, the heat absorbing portion A of the cryogenic loop heat pipe


21


serves to absorb heat from the object


11


, and the heat dissipating portion B serves to dissipate the absorbed heat to the refrigerator


13


. With these two functions, the object


11


is cooled to the condensation temperature level or lower. That is, the cooling apparatus shows its ability to perform cooling function.




According to the arrangement of the first embodiment, since the direction (shown by arrow β) in which the working fluid liquefied at the heat dissipating portion B descends owing to the gravity can be made to coincide with the direction (arrow α) in which the vapor bubble


26


generated at the heat absorbing portion A ascends owing to the buoyancy, the circulating force of the working fluid can be increased, thereby further increasing the heat transport from A to B.




Furthermore, in this case, since the capillary tube


25


has the inner diameter d given by the condition (1) and the heat transfer length .h given by condition (10), the circulating force to be applied to the working fluid in the capillary tube


25


can be optimized. A large heat transport can therefore be obtained.




Note that condition (1) and (10) can be applied to cases wherein water, argon, oxygen, neon, hydrogen, helium, and mixtures thereof are used as working fluids, as well as the case wherein nitrogen is used as the working fluid.




Of the above working fluids, helium, hydrogen, neon, and nitrogen are particularly significant in the cryogenic engineering for superconductors, and their Laplace constants are shown in

FIG. 7

as functions of temperature. Referring to

FIG. 8

, the abscissa represents the temperature, and the ordinate represents he ratio of the density ρ


1


of each working fluid in the liquid phase to the density ρ


v


of the working fluid in the vapor phase.




When, for example, helium (He) is used as the working fluid, since its boiling point is 4.2 (k) and Laplace constant L=0.31 at that temperature, upper and lower limits of the heat transfer area of the heat absorbing portion A is obtained by setting inner diameter d of the capillary tube


25


to the preferable diameter, d=2L=0.62 mm.

FIGS. 9A and 9B

show the relationship between the maximum heat transport Q


max


and the heat transfer length l when helium is used. In order to obtain ½ or more the maximum heat transport Q


peak


as preferable heat transport, d is set to 0.62 (mm) according to condition (10), and the heat transfer length l of the capillary tube


25


may be designed within the following range:






9.32(mm)<


l


<546.28(mm)






When neon (Ne) is used as a working fluid, since its boiling point is 27.1 (k) and Laplace constant L=0.63 at that temperature, upper and lower limits of the heat transfer area of the heat absorbing portion A is obtained by setting the inner diameter d of the capillary tube


25


to the preferable diameter, d=2L=1.62 mm.

FIGS. 10A and 10B

show the relationship between the maximum heat transport Q


max


and the heat transfer length l when neon is used. In order to obtain ½ or more the maximum heat transport Q


peak


as preferable heat transport, d is set to 1.26 (mm) according to condition (10), and the heat transfer length l of the capillary tube


25


may be designed within the following range:






18.95(mm)<


l


<1110.17(mm)






When hydrogen is used as a working fluid, since its boiling point is 20.3 (k) and Laplace constant L=1.66 at that temperature, upper and lower limits of the heat transfer area of the heat absorbing portion A is obtained by setting the inner diameter d of the capillary tube 25 to the preferable diameter, d=2L=2.32 mm.

FIGS. 11A and 11B

show the relationship between the maximum heat transport Q


max


and the heat transfer length l when hydrogen is used. In order to obtain ½ or more the maximum heat transport Q


peak


as preferable heat transport, d is set to 2.32(mm) according to condition (10), and the heat transfer length l of the capillary tube


25


may be designed within the following range:






34.89(mm)<


l


<2044.13(mm)






In this embodiment, ½ or more of the peak maximum heat transport Q


peak


is regarded as the preferable heat transport, and condition (10) is used. More preferably, ⅔ or more of the maximum heat transport Q


peak


may be regarded as the preferable heat transport, and condition (11) may be used. More preferably, ¾ or more of the maximum heat transport Q


peak


may be regarded as a preferable heat transfer amount, and inequality (12) may be used. More preferably, the rated heat transport may be set equal to the maximum heat transport Q


peak


, and condition (13) may be used.






22.72


d<l


<432.79


d


  (11)








27.85


d<l


<314.81


d


  (12)










l


=82.24


d


  (13)






In the case shown in

FIG. 1

, a one-turn type cryogenic loop heat pipe


21


is used. However, the present invention is not limited to this structure. A plurality of 1-turn type loop heat pipes


21


are preferably used. Alternatively, a coil-like cryogenic loop heat pipe obtained by winding a single capillary tube in multiple turns can be used.




With this structure, the capillary tube


25


is passed through the heat conduction member


22


a number of times (n times). In this case, the maximum heat transport of this heat pipe is given by n·Q


max


, and hence the heat transport capacity increases.




In the above embodiment, since the capillary tube


25


extends vertically at the heat absorbing portion A, the working fluid is driven by the displacement force and buoyancy of the vapor bubble


26


. If, however, the capillary tube


25


inclines with respect to the vertical direction at the heat absorbing portion A, the driving force based on the buoyancy of the vapor bubble


26


decreases. More specifically, letting θ be the inclination of the capillary tube


25


with respect to the horizontal plane at the heat absorbing portion A, the maximum heat transport Q(θ)


max


at the θ inclination is given by Q


max


cos θ.




Note that when the operating temperature boiling point of a working fluid is lower than that of nitrogen (whose boiling point is 77.3 (k) and Laplace constant is 1.05), a sufficient driving force may not be obtained if the inclination θ of the capillary tube


25


is too small. In this case, since the movement of the working fluid becomes slow, all the working fluid in the capillary tube


25


at the heat absorbing portion A may vaporize, resulting in a dry state. It has been confirmed that such a phenomenon indeed occurs when the inclination of the capillary tube


25


is set to 5° to 10° or less. When for example, either one of the cryogeus, hydrogen, neon, or helium is to be used as the working fluid, the inclination angle needs to be 5° or more.





FIG. 12

shows the relationship between the limit of heat transport (ordinate) and the average heat pipe temperature (abscissa) for the following working fluids and inclinations. For helium, the inclination angle is set to 5°; for hydrogen 10°; for neon 5°; and for nitrogen 0°. According to heat transport measurements conducted by the present inventor, a proper heat pipe operation is warranted within the inclination range of 5° to 90° with helium; 5° to 90° with hydrogen; 5° to 90° with neon; and 0° to 90° with nitrogen, having selected the proper heat pipe diameter.




According to the above arrangement, the following effects can be obtained.




The Laplace constant L corresponds to the diameter of a vapor bubble leaving the heat transfer surface in a liquid owing to the heat load, and is formulated by the above expressions for various liquids.




If the inner diameter of the loop capillary tube is L or less, no liquid is present between the vapor bubble and the inner wall. For this reason, vapor needed for the growth of the bubble is hard to generate, and therefore the force for driving the fluid in the capillary tube decreases. As a result, the heat transport abruptly decreases.




In contrast to this, if the inner diameter d of the loop capillary tube is 3L or more, the amount of liquid displaced upon movement of the vapor bubble decreases as a result of smaller area the vapor bubble occupies in the pipe cross-section. Therefore, the force for driving the fluid in the capillary tube decreases.




By setting the inner diameter d of the loop capillary tube according to L<d<3L, the loop driving force of driving the liquid in the loop capillary tube is optimized to greatly increase the heat transport.




As described above, the cryogenic loop heat pipe according to the present invention has been made with importance being attached to the size of a vapor bubble leaving the heat transfer surface. If air bubbles are generated in large quantities, they join each other to form a large vapor bubble. The bubble generation rate depends on the amount of heat transferred per unit area. As the amount of heat transferred per unit area increases, a larger number of vapor bubbles are generated. This phenomenon has been confirmed by experiment. This indicates the presence of the minimum heat transfer area with which the cryogenic loop heat pipe properly operates. Each of the heat transfer areas of the heat absorbing and dissipating portions needs to be larger than the minimum area with which the heat pipe properly operates, in consideration of the heat transfer amount given as a specification.




Note that if the level of the heat absorbing portion is set to a lower level than that of the heat dissipating portion in actually using this cryogenic loop heat pipe, the buoyancy of vapor bubble generated at the heat absorbing portion acts to support the loop driving force. Therefore, the heat transfer amount can be further increased.




Assume that this cryogenic loop heat pipe is incorporated in a system in which a plurality of heat absorption objects such as objects to be cooled are present independently and only one heat dissipating object such as a refrigerator is present, a system in which only one heat absorption object is present, and a plurality of heat dissipation objects are present independently, or a system in which a plurality of heat absorption objects are present independently, and a plurality of heat dissipation objects are present independently. In this case, if the heat absorbing and dissipating portions thermally connected to the heat absorbing and dissipating portions, respectively, appear alternately in the longitudinal direction of the tube while the loop capillary tube loops once, heat absorption and dissipation can be properly balanced, allowing stable heat transport.




Another embodiment of the present invention will be described next with reference to FIG.


13


A and the subsequent drawings.





FIGS. 13A and 13B

show application examples of the cryogenic loop heat pipe of the present invention as the second embodiment. The same reference numerals in

FIGS. 13A and 13B

denote the same parts as in the first embodiment (FIG.


1


), and hence a detailed repetitive description thereof will be omitted.





FIG. 13A

shows a structure in which a plurality of one-turn type loop heat pipes


21


, each obtained by forming the above capillary tube


25


into a loop within the horizontal plane, are arranged side by side in the vertical direction. In this case, a heat absorbing portion A and a heat dissipating portion B are located at the same height, so that the inclination of each heat pipe is almost 0°. If, therefore, nitrogen is used as a working fluid, a proper operation can be performed.





FIG. 13B

shows a structure in which the heat dissipating portion B is located at a level higher than that of the heat absorbing portion A in

FIG. 13A

so as to incline the above heat pipes.




According to this usage, a liquefied working fluid flows from the heat dissipating portion B into the heat absorbing portion A owing to the gravity, and the buoyancy of an air bubble generated at the heat absorbing portion A can be used as a driving force for the working fluid. A circulating force is therefore generated to act in the direction of the heat dissipating portion B, thus increasing the heat transport.




In addition to nitrogen, hydrogen, helium, and neon can therefore be used as working fluids.




In the second embodiment, a plurality of one-turn type heat pipes


21


are arranged side by side in the vertical direction. However, a single capillary tube


25


may be spirally wound a plurality of number of times into a coil-like structure.





FIGS. 14A and 14B

show other application examples of the cryogenic loop heat pipe according to the present invention as the third embodiment. In this embodiment as well, the same reference numerals denote the same parts as in the first embodiment, and a detailed repetitive description thereof will be omitted.




In the example shown in

FIG. 14A

, one refrigerator


13


is used to cool two independent objects


11




a


and


11




b


to be cooled through one cryogenic loop heat pipe apparatus


20




a.






Heat absorbing portions Aa and Ab are arranged at two places of each loop capillary tube


25


of the cryogenic loop heat pipe apparatus


20




a


in the circumferential direction. The heat absorbing portion Aa is thermally connected to the object


11




a


through a heat conduction member


22




a


. The heat absorbing portion Ab is thermally connected to the object


11




b


through a heat conduction member


22




b


. Heat dissipating portions Ba and Bb are arranged at places between the heat absorbing portions Aa and Ab of each loop capillary tube


25


. These heat dissipating portions Ba and Bb form a common heat sink in the heat pipe and are thermally connected to a second cooling stage


15


of the refrigerator


13


through heat conduction members


23




a


and


23




b.






According to this usage, the working fluid passing through the heat absorbing portion Aa is cooled first at the heat dissipating portion Ba, and then passes through the heat absorbing portion Ab. The working fluid is cooled at the heat dissipating portion Bb again, and then passes through the heat absorbing portion Aa again, thus circulating the pipe once (the working fluid may reverse in this route). With this operation, heat absorption and heat dissipation can be properly balanced, and the working fluid can be stably circulated.




In the example shown in

FIG. 14B

, the heat dissipating portions Ba and Bb are arranged at levels higher than those of the heat absorbing portions Aa and Ab in

FIG. 14A

so as to incline the capillary tubes


25


.




According to this usage, the liquefied working fluid flows from the heat dissipating portion Ba into the heat absorbing portion Aa, and from the heat dissipating portion Bb into the heat absorbing portion Ab owing to the gravity, and the buoyancies of generated vapor bubbles can be used as driving forces for pushing the working fluid from the heat absorbing portion Aa to the heat dissipating portion Bb, and from the heat absorbing portion Ab to the heat dissipating portion Ba, thereby generating a circulating force. The heat transport can therefore be increased.




In the above heat pipe, hydrogen, helium, and neon can therefore be used as working fluids.




In the third embodiment, a plurality of one-turn type heat pipes


21


are vertically stacked. However, a single capillary tube


25


may be spirally wound a number of turns to form a coil-like structure. In addition, only a single one-turn heat pipe


21


may be used.




Assume that there are two or more independent objects to be cooled. This embodiment can also be applied to this case if the heat absorbing and dissipating portions of each loop capillary tube are alternately formed in the longitudinal direction of each tube.





FIGS. 15A and 15B

show other application examples of the cryogenic loop heat pipe according to the present invention as the fourth embodiment. The same reference numerals in

FIGS. 15A and 15B

denote the same parts as in

FIG. 1

, and a detailed repetitive description thereof will be omitted.




In the example shown in

FIG. 15A

, two independent refrigerators


13




a


and


13




b


are used to cool one object


11


to be cooled through one cryogenic loop heat pipe apparatus


20




b.






Heat dissipating portions Ba and Bb are formed at two places of each capillary tube


25


of the cryogenic loop heat pipe apparatus


20




b


in the circumferential direction of the heat pipe. The heat dissipating portion Ba is thermally connected to a second cooling stage


15


of the refrigerator


13




a


through heat conduction members


23




a


and


24




a


. The heat dissipating portion Bb is thermally connected to a second cooling stage


15


through heat conduction members


23




b


and


24




b


. Heat absorbing portions Aa and Ab are formed at places between the heat dissipating portions Ba and Bb of each capillary tube


25


. These heat absorbing portions Aa and Ab form a common heat sink in the heat pipe and are thermally connected to the object


11


through heat conduction members


22




a


and


22




b.






According to this usage, the working fluid passing through the heat absorbing portion Aa is cooled first at the heat dissipating portion Ba, and then passes through the heat absorbing portion Ab. The working fluid is then cooled at the heat dissipating portion Bb and passes through the heat absorbing portion Aa again, thus circulating the pipe once (the working fluid may reverse in this route). With this operation, heat absorption and heat dissipation can be properly balanced, and the working fluid can be stably circulated.




In the example shown in

FIG. 15B

, the heat dissipating portions Ba and Bb are formed at levels higher than those of the heat absorbing portions Aa and Ab in

FIG. 15A

so as to incline the capillary tubes


25


.




With this usage, similar to the second embodiment, since the buoyancy of a vapor bubble can be used as a driving force for the working fluid, a circulating force is generated, thus increasing the heat transport.




In addition to nitrogen, in the above embodiment, hydrogen, helium, and neon can therefore be used as working fluids.




In the forth embodiment, a plurality of one-turn type heat pipes


21


are arranged side by side in the vertical direction. However, a single capillary tube


25


may be spirally wound a number of times to form a coil-like structure. In addition, only a single one-turn heat pipe


21


may be used.




This embodiment can also be applied to a case in which there are three or more refrigerators, and one object to be cooled.





FIGS. 16A and 16B

show other application examples of the cryogenic loop heat pipe of the present invention as the fifth embodiment. The same reference numerals in

FIGS. 16A and 16B

denote the same parts as in

FIG. 1

showing the first embodiment, and a detailed description thereof will be omitted.




In this case, two independent refrigerators


13




a


and


13




b


are used to cool objects


11




a


and


11




b


to be cooled through one cryogenic loop heat pipe apparatus


20




c.






Heat dissipating portions Ba and Bb are formed at two places of each capillary tube


25


of the cryogenic loop heat pipe apparatus


20




c


in the circumferential direction of the heat pipe. The heat dissipating portion Ba is thermally connected to a second cooling stage


15


of the refrigerator


13




a


through heat conduction members


23




a


and


24




a


. The heat dissipating portion Bb is thermally connected to a second cooling stage


15


of the refrigerator


13




b


through heat conduction members


23




b


and


24




b


. Heat absorbing portions Aa and Ab are formed at places between the heat dissipating portions Ba and Bb of each loop capillary tube


25


. The heat absorbing portion Ab is thermally connected to the object llb through a heat conduction member (not shown).




According to this usage, the working fluid passing through the heat absorbing portion Aa is cooled first at the heat dissipating portion Ba and then passes through the heat absorbing portion Ab. The working fluid is then cooled at the heat dissipating portion Bb and passes through the heat absorbing portion Aa again, thus circulating the pipe once (the working fluid may reverse in this route). With this operation, heat absorption and heat dissipation can be properly balanced, and the working fluid can be stably circulated.




In the example shown in

FIG. 16B

, the heat dissipating portions Ba and Bb are located at levels higher than those of the heat absorbing portions Aa and Ab in

FIG. 16A

so as to incline the capillary tubes


25


.




According to this usage, similar to the second embodiment, since the buoyancy of a vapor bubble can be used as a driving force for the working fluid, a circulating force is generated, thus increasing the heat transport.




In addition to nitrogen, in the above embodiment, hydrogen, helium, and neon can therefore be used as working fluids.




In the fifth embodiment, a plurality of one-turn type heat pipes


21


are arranged side by side in the vertical direction. However, a single capillary tube


25


may be spirally wound in a number of turns to form into a coil-like structure. In addition, only a single one-turn heat pipe


21


may be used.




This embodiment can also be applied to a case in which there are three or more refrigerators, and the same number of objects to be cooled.




In each of the first to fifth embodiments, each heat dissipating portion is thermally connected to the cooling stage of the refrigerator. However, the present invention is not limited to this. For example, each dissipating portion may be thermally connected to a liquid refrigerant path, a liquid refrigerant reservoir, or a cool path.





FIG. 17

shows the sixth embodiment in which the cryogenic loop heat pipe according to the present invention is applied to a medical cooling or a surgical tool.




This medical cooling tool has portions A and B in

FIG. 17

which respectively serve as a heat absorbing portion and a heat dissipating portion. A loop capillary tube


25




a


between the heat absorbing portion A and the heat dissipating portion B is partly partitioned by a heat insulating wall to form a double pipe portion


27


forming outgoing and incoming paths. In this case, the tube portion between the heat absorbing portion A and the heat dissipating portion B is covered with a flexible heat insulating tube


28


. The overall structure is therefore flexible. In addition, a heat absorbing piece


29


having a size and shape suited for medical treatments can be detachably mounted on the heat absorbing portion A.




The medical cooling tool having the above structure can easily perform intensive cooling with respect to a narrow morbid portion.




It should be noted that the above embodiments have been described as preferred embodiments of the present invention; some constituent elements can be omitted or other constituent elements can be added without departing from the spirit and scope of the invention. In addition, the applications of the present invention can be changed, as needed.




As has been described above, according to the present invention, there is provided a cryogenic loop heat pipe which can perform optimal heat transport in accordance with various operating temperature conditions. In addition, according to the usages of the present invention, the heat transport can further increased.



Claims
  • 1. A cryogenic heat pipe, comprising:a sealed tube having an inner diameter d where L<d<3L configured to circulate a cryogenic working fluid having a surface tension σ, a liquid phase density ρ1, a vapor phase density ρv, and a gravitational acceleration g, wherein L is the Laplace constant and L=[σ/{(ρ1−ρv)g}]0.5; and a vacuum container for containing the sealed tube, wherein said sealed tube comprises, at least one absorption portion configured to absorb heat and having a heat exchange length l where 15d<l<882d, and at least one dissipation portion configured to dissipate heat; wherein said working fluid is a fluid selected from the group consisting of helium, hydrogen, and neon and mixtures thereof.
  • 2. The cryogenic heat pipe according to claim 1, wherein said sealed tube comprises as many of said absorption portions as there are objects to be cooled and as many of said dissipation portion as there are objects to be heated, said absorption portions and said dissipation portion alternately arranged along said sealed tube.
  • 3. The cryogenic heat pipe according to claim 1, wherein said at least one absorption portion and said at least one dissipation portion comprise a heat conducting material.
  • 4. The cryogenic heat pipe according to claim 3, wherein said heat conducting material is a metal.
  • 5. The cryogenic heat pipe according to claim 1, wherein said sealed tube comprises one absorption portion and one dissipation portion and said one dissipation portion is positioned at a higher vertical level than said one absorption portion.
  • 6. The cryogenic heat pipe according to claim 1, wherein said sealed tube comprises one absorption portion and one dissipation portion and said one absorption portion has an orientation angle having not less than a predetermined value with respect to a horizontal plane.
  • 7. The cryogenic heat pipe according to claim 6, wherein said one absorption portion extends vertically with respect to said horizontal plane.
  • 8. The cryogenic heat pipe according to claim 1, wherein said sealed tube further comprises a plurality of tubes formed into loops.
  • 9. The cryogenic heat pipe according to claim 1, wherein said sealed tube further comprises a tube wound in a plurality of turns in the form of a coil.
  • 10. The cryogenic heat pipe according to claim 1, wherein said sealed tube further comprises a double tube portion wherein one portion of said sealed tube is located within a second portion of said sealed tube, and an end portion of said one portion is open in said second portion.
  • 11. The cryogenic heat pipe according to claim 1, wherein said cryogenic heat pipe is configured to use a super conductive coil for the heat absorption portion and a refrigerator for the dissipation portion.
Priority Claims (1)
Number Date Country Kind
8-121820 May 1996 JP
US Referenced Citations (17)
Number Name Date Kind
2676791 White Apr 1954
4020898 Grover May 1977
4133376 Eilenberg et al. Jan 1979
4240500 Rohner Dec 1980
4509334 Nakagome et al. Apr 1985
4640347 Grover et al. Feb 1987
4995450 Geppelt et al. Feb 1991
5036908 Petroff et al. Aug 1991
5076351 Munekawa et al. Dec 1991
5101888 Sprouse et al. Apr 1992
5144810 Nagao et al. Sep 1992
5203399 Koizumi Apr 1993
5219020 Akachi Jun 1993
5303768 Alario et al. Apr 1994
5737927 Takahashi et al. Apr 1998
5842348 Kaneko et al. Dec 1998
5845702 Dinh Dec 1998
Foreign Referenced Citations (5)
Number Date Country
57-131989 Aug 1982 JP
4-20788 Jan 1992 JP
4-190090 Jul 1992 JP
6-97147 Nov 1994 JP
8203680 Apr 1981 WO
Non-Patent Literature Citations (2)
Entry
M. Shiraishi, Development of ultra large scale gravity assisted heat pipe, Mechanical Eng. Laboratory, Aug. 1987.
Yu. A. Kirichenko, et al., “Heat Transfer Crisis During Liquid Nitrogen Cooling of High Temperature Superconductor”, Cryogenics, vol. 31, (1991), pp. 979-984.