CN101510232A - Heat radiation passage distribution design method based on animal vascular system forming mechanism - Google Patents
Heat radiation passage distribution design method based on animal vascular system forming mechanism Download PDFInfo
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- CN101510232A CN101510232A CNA2009100484047A CN200910048404A CN101510232A CN 101510232 A CN101510232 A CN 101510232A CN A2009100484047 A CNA2009100484047 A CN A2009100484047A CN 200910048404 A CN200910048404 A CN 200910048404A CN 101510232 A CN101510232 A CN 101510232A
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Abstract
The invention relates to a heat-dissipation channel distribution design method based on animal blood vessel system formation mechanism. In accordance with the requirements that animal vascular system are required to meet minimum energy loss and permeate the whole given three-dimensional growth space, the formation mechanism of animal vascular system pattern is studied and the pattern formation process thereof is regenerated. The heat-dissipation channel distribution design method of a heat transfer system is also studied by utilizing the formation mechanism. The designed heat-dissipation channel can be self-adaptive to various complex thermal environments and achieve optimum thermal efficiency.
Description
Technical field
The present invention relates to a kind of radiation design method, particularly a kind of heat radiation passage distribution design method that forms mechanism based on animal vascular system.
Background technology
The conduction heat transfer system generally is made up of two kinds of materials, and substrate is made of the material of low thermal conductivity, and the material of high thermal conductivity coefficient is distributed in the base material as plug-in unit.The ratio of the coefficient of heat conductivity of two kinds of materials is much larger than 1, so that the heat that produces in base material can be guided to by the thermovent heat radiation that is positioned at system edges effectively by the heat dissipation channel of high thermal conductivity coefficient material composition.If animal vascular system is regarded as the transmission system of absorbing environmental material, the heat dissipation channel that the highly heat-conductive material in its function and the conduction heat transfer system is formed is quite similar.The artery and vein vascular system of animal can be in certain three dimensions conveying or harvest energy or material, in the viscosity of having considered conveying or collection of material and friction, rationally adjust the growth direction and the growth rate of vascular arborization dexterously, make its end spread all over whole three dimensions, and make the distribution of pressure and flow reach certain functional requirement.The formation of its form is the optimizing process that can realize a plurality of functional objectives, vascular arborization always develops along the direction that can make its functional objective optimum, and at any time according to local growth environment and its growth direction of functional objective adaptively modifying and the growth rate that need to realize.
Summary of the invention
The present invention be directed to the problem of the radiating efficiency of conduction heat transfer system, a kind of heat radiation passage distribution design method that forms mechanism based on animal vascular system has been proposed, by zoologizeing vascular system form formation mechanism, the heat dissipation channel that design obtains is because of having and the similar function optimality of animal vascular system, the thermal environment of the various complexity of energy self-adaptation, and reach optimum radiating efficiency.
Technical scheme of the present invention is: a kind of heat radiation passage distribution design method that forms mechanism based on animal vascular system, the heat that is produced by radiator, rely on high thermal conductivity coefficient material heat radiation in the heat transfer system, the heat transfer system heat radiation passage distribution design method comprises the steps:
1), and after carrying out finite element thermal analysis, obtains by the Temperature Distribution of radiator to being set up finite element model by radiator;
2) form mechanism according to animal vascular system, the heat distribution of radiator is regarded as the CONCENTRATION DISTRIBUTION for the treatment of absorbing material in the animal vascular system, carry out energy loss minimum and adaptive design, energy loss minimum and adaptive design are followed the difference rule of animal vascular system and the rule of growing up, difference rule: follow the energy loss minimal design, promptly the branch of two after difference radius cube and equal the cubic inch of female branch radius, overcome viscous friction during this branching system conveyance fluid and keep the energy minimum that fluid flows loses; It is regular to grow up: follow the adaptive Growth rule, promptly shoot always reaches optimum direction difference growth along a certain functional objective that can make whole branching system;
3) according to step 2) energy loss minimum and the adaptive Growth rule distribution design of carrying out heat dissipation channel, obtain the geometric configuration of the heat dissipation channel that the high thermal conductivity coefficient material forms.
The geometric configuration of the heat dissipation channel that described high thermal conductivity coefficient material is formed has the form of nature branching system, high thermal conductivity coefficient distribution of material density depends on by the heat distribution of radiator, be the distribution density height of the big regional high thermal conductivity coefficient material of heat, and the little areal distribution density of heat is low.
Beneficial effect of the present invention is: the present invention is based on the heat radiation passage distribution design method that animal vascular system forms mechanism, utilize the conduction heat transfer system of the formation mechanism design of animal vascular system, can make designed heat transfer system have the adaptivity similar to animal vascular system, under the thermal boundary condition of complexity, heat dissipation channel can make the Temperature Distribution of total system even as far as possible according to the instant heat distribution reasonably configuration flexibly of system.
Description of drawings
Fig. 1 the present invention is based on animal vascular system to form evenly to distribute in the heat radiation passage distribution design method of mechanism and treat the circular field of absorbing material concentration animal vascular system form synoptic diagram;
Fig. 2 the present invention is based on animal vascular system to form evenly to distribute in the heat radiation passage distribution design method of mechanism and treat absorbing material concentration hemisphere hull shape field animal vascular system form synoptic diagram;
Fig. 3 the present invention is based on animal vascular system to form in the heat radiation passage distribution design method of mechanism non-homogeneous round field and treat absorbing material CONCENTRATION DISTRIBUTION synoptic diagram;
Fig. 4 the present invention is based on animal vascular system to form in the heat radiation passage distribution design method of mechanism non-uniform Distribution and treat the round field of absorbing material concentration animal vascular system form synoptic diagram;
Fig. 5 the present invention is based on animal vascular system to form in the heat radiation passage distribution design method of mechanism the evenly heat transfer system finite element model synoptic diagram of distributed heat incidence;
Fig. 6 the present invention is based on animal vascular system to form in the heat radiation passage distribution design method of mechanism the evenly heat transfer system temperature field synoptic diagram of distributed heat incidence;
Fig. 7 the present invention is based on the heat transfer system finite element model synoptic diagram that animal vascular system forms the hot incidence of non-uniform Distribution in the heat radiation passage distribution design method of mechanism;
Fig. 8 the present invention is based on the heat transfer system temperature field synoptic diagram that animal vascular system forms the hot incidence of non-uniform Distribution in the heat radiation passage distribution design method of mechanism;
The horizontal vertical tree-shaped heat transfer system finite element model synoptic diagram of Fig. 9 for comparing with the heat radiation passage distribution design method that the present invention is based on animal vascular system formation mechanism;
The horizontal vertical tree-shaped heat transfer system temperature field synoptic diagram of Figure 10 for comparing with the heat radiation passage distribution design method that the present invention is based on animal vascular system formation mechanism;
Figure 11 the present invention is based on animal vascular system to form natural branch heat transfer system finite element model synoptic diagram in the heat radiation passage distribution design method of mechanism;
Figure 12 the present invention is based on animal vascular system to form natural branch heat transfer system temperature field synoptic diagram in the heat radiation passage distribution design method of mechanism.
Embodiment
On the research basis of analyzing and summing up animal vascular system form formation mechanism, the present invention proposes the computer simulated algorithm of the animal vascular system form regeneration that can realize the function optimum, and be applied in the designing technique of heat dissipation channel distribution.
1, the computer simulated algorithm of animal vascular system form regeneration:
In order to utilize animal vascular system form adaptivity to carry out the distribution design of heat dissipation channel, be necessary to take all factors into consideration its rule of generally growing up, its developmental process of emulation on computers.If animal vascular system is regarded as a fluid delivery system, one of its morphogenetic universal law is a minimum energy principle, i.e. the form of system fluid that it the is carried energy minimum of losing in the flow process that exports from entering the mouth to.Therefore the branching system that generates should satisfy the requirement of energy loss minimum, and should spread all over given whole three-dimensional growing space under relevant fluid mechanics condition restriction.Also should satisfy the requirement of the volume minimum of whole branching system simultaneously, in the vascular system of an animal, this means blood transport to certain required blood flow volume minimum of three dimensions.From the notion of hydromechanical principle and engineering optimization, the growth of typical animal vascular system rule and difference rule are as follows:
1) branching rule: the ratio of the cross-sectional sizes of son branch and female branch is by Murray rule (formula 1) decision based on minimum energy principle.Murray rule explanation, two son branch radiuses after difference cube and equal the cubic inch of female branch radius, overcome viscous friction during this branching system conveyance fluid and keep the energy minimum that fluid flows loses.
2) growth rule: shoot always reaches optimum direction difference along a certain functional objective that can make whole branching system and grows up.Therefore, branch directions of shoot and growth rate are come automatic optimal control by its growth environment, realize self-adaptive growth, promptly under given growth environment, by searching the optimum point of growing up, growth rate and the difference direction of decision shoot.For the growth environment of simulated animal vascular system, in given three dimensions by designing requirement certain absorbing material concentration for the treatment of that distributes.The vascular arborization system is in developmental process, and the end of shoot is chosen in to be treated in the growing space on the highest point of absorbing material concentration.If such o'clock more than one, random selection then.After shoot grew up, owing to absorbed near its material nutrient, the concentration around it reduced (renewal) with certain rules.For the dispensed materials that makes whole three-dimensional growing space is even, suppose that flow and pressure that all are terminal equate.
Based on above-mentioned growth rule and difference rule, different treating under the absorbing material CONCENTRATION DISTRIBUTION condition, the branching system that simulation is grown up in the difform growing space is shown in Fig. 1-4, wherein Fig. 1,2 is equally distributed treating under the absorbing material concentration, the branching system form of growing up in circular field and hemisphere hull shape space; Fig. 3,4 branching systems of growing up in circular field under the absorbing material concentration treated for non-uniform Distribution, Fig. 3 is for treating the absorbing material concentration profile, the concentration that darker color showing is higher.As seen from the figure, circular field is divided into four parts symmetrically, two areal distribution at diagonal angle the identical absorbing material concentration for the treatment of, higher and ratio low concentration is assumed to 0.6.By Fig. 1,2 and 4 as seen, and the vascular arborization system self-adaption of generation is in the given absorbing material CONCENTRATION DISTRIBUTION for the treatment of, under equally distributed concentration, the branch distribution density of branching system also is uniform basically; And under the concentration of uneven distribution, the distribution density of branch depends on the distribution density of concentration.Simultaneously can find that trunk and some boughs grow up at first fast in growth course, a large amount of then sprigs spreads all over whole growth zone gradually.Treating that under the even condition that distributes of absorbing material density unevenness, trunk and bough at first grow up, and just spread subsequently in the low zone of concentration in the high zone of concentration.The branching system that generates has the bough and the sprig of obvious size difference, and this feature and actual biological branching system are very similar: trunk and bough are born the task of energy and mass transport, and sprig and end thereof are born the mass exchange task with environment.
2, the distribution design method of heat dissipation channel:
The gordian technique of conduction heat transfer system design is that how the to distribute material of high thermal conductivity coefficient is formed heat dissipation channel, makes the heat that produces in the base material can efficiently radiates heat, thereby makes the uniformity of temperature profile of total system.
If the notion for the treatment of absorbing material concentration in the animal vascular system forming process is regarded as the heat that distributes in the heat transfer system, then can regard the branch net as distribution into the high thermal conductivity coefficient material in the conduction heat transfer system.Because depending on, the branch distribution density of branch net treats absorbing material concentration, then the distribution density of high thermal conductivity coefficient material depends on the heat distribution of total system, that is, the distribution density height of the regional high thermal conductivity coefficient material that heat is big, and the little areal distribution density of heat is low.Therefore can predict, utilize the conduction heat transfer system of the formation mechanism design of animal vascular system, can make designed heat transfer system have the adaptivity similar to animal vascular system, under the thermal boundary condition of complexity, heat dissipation channel can make the Temperature Distribution of total system even as far as possible according to the instant heat distribution reasonably configuration flexibly of system.
3, application examples:
The ratio of one thickness and diameter is that 0.01 circular flat board is one to need the volume (substrate) of cooling, is k by coefficient of heat conductivity
0Material form.This circle flat board is with q " '=10
5W/m
3Hot incidence evenly produce heat, and with the surrounding environment thermal insulation.Existing a certain amount of coefficient of heat conductivity is k
pThe high thermal conductivity coefficient material form heat dissipation channel, suppose k
p/ k
0=5000.0.Treat the form of the branch net that forms under the absorbing material concentration according to even distribution shown in Figure 1, the heat dissipation channel that the high thermal conductivity coefficient material is formed as shown in Figure 5.Suppose that channel cross-section is shaped as rectangle, the diameter of the branch in its width and the corresponding branch net (Fig. 1) is identical.After having ignored some tiny branches, the volume fraction of the heat dissipation channel of forming by high thermal conductivity coefficient shown in Figure 5, promptly to account for the volume of monoblock plectane be 9.71% to the volume of high thermal conductivity coefficient material.The temperature of supposing the thermovent that is positioned at circular plate edge is 10 ℃, is setting up finite element model, and after carrying out finite element thermal analysis, obtains temperature profile shown in Figure 6, and maximum temperature is 44.45 ℃.Represent higher temperature than weak color among the attention figure, the temperature that darker color showing is lower.As seen from the figure, higher temperature occurs in the place away from thermovent, but the temperature difference of entire plate is less.Shown in Fig. 7,8 is that geometric configuration is identical with Fig. 5 but have the circular dull and stereotyped of inhomogeneous hot incidence, and it is divided into four parts symmetrically, and the two parts at diagonal angle have identical hot incidence, are respectively q
h" '=10
5W/m
3And q
l" '=0.6 * 10
5W/m
3, as shown in Figure 7.Notice that the distribution for the treatment of absorbing material concentration the when distribution of hot incidence and branch net shown in Figure 3 form is in full accord.According to the form of branch net shown in Figure 4, the heat dissipation channel that the high thermal conductivity coefficient material is formed as shown in Figure 7.The same with Fig. 5, suppose that channel cross-section is shaped as rectangle, its width is identical with the diameter of corresponding branch.After having ignored some tiny branches, the volume fraction of heat dissipation channel shown in Figure 7 is 6.95%.Other thermal boundary condition and Fig. 5,6 identical, carry out finite element thermal analysis after, obtain temperature profile shown in Figure 8, maximum temperature is 44.15 ℃.As seen from the figure, even under the condition of the hot incidence of distribution more complicated, the temperature difference of entire plate is still less, and better radiating effect is arranged.If heat dissipation channel comprises more branchlet, Temperature Distribution will be more even.By above two examples as seen, utilize the formation mechanism of animal vascular system to carry out the design of conduction heat transfer system, because the formation of the heat dissipation channel that the high thermal conductivity coefficient material is formed has the adaptivity similar to animal vascular system, can be under the distribution occasion of the hot incidence of complexity, the base material of need cooling with random geometry is effectively dispelled the heat.
For the validity based on the conduction heat transfer design method of animal vascular system growth mechanism being described better, the heat transfer system of the heat dissipation channel that comparison the present invention proposes and the heat transfer system that existing heat dissipation channel Optimization Design obtains with the tree-shaped heat dissipation channel of horizontal vertical with nature branch form.Fig. 9 utilizes to construct the finite element model with conduction heat transfer system of secondary structure that theory (constuctal theory) obtains, as seen from the figure, the volume of the need cooling that obtains at last is a square, and the shared volume fraction of high thermal conductivity coefficient material is 9.47%.Suppose that hot incidence is q " '=10
5W/m
3, be evenly distributed in the entire plate, total and environment thermal insulation, the temperature of thermovent is 10 ℃, and the ratio of the high low thermal conductivity of two kinds of materials is k
p/ k
0=3333.3, finite element thermal analysis result is by shown in Figure 10, and maximum temperature is 58.25 ℃.Geometric configuration according to Fig. 9, in identical square plate, constructed the conduction heat transfer system by the growth mechanism of animal vascular system, as shown in figure 11, wherein the shared volume fraction of high thermal conductivity coefficient material is 9.62%, approaches the tree-shaped heat dissipation channel structure of horizontal vertical.Under identical thermal boundary condition, finite element thermal analysis result is by shown in Figure 12, and its maximum temperature is 53.32 ℃, and is more lower slightly than the tree-shaped heat dissipation channel structure that corresponding horizontal is vertical.As seen from the figure, two kinds of structural cooling performance are all better.If but given thermal boundary condition more complicated, utilization is constructed theory and is designed very difficult.And, owing to construct the theoretical process of constructing from elementary cell, progressively ascending carrying out, and each level structure is all by the optimal design process decision that makes the thermal resistance minimum, the volume of the need that obtain at last cooling be rule and have definite geometric configuration.And often need in the practical application to design heat dissipation channel according to the prior given volume to be dispelled the heat with random geometry, therefore construct theoretical certain limitation that has in actual applications.And the method for designing of the formation mechanism of utilizing animal vascular system that the present invention proposes, because of having the optimality similar with animal vascular system, can be according to given complicated thermal boundary condition, flexible design spreads all over the heat dissipation channel of random geometry, therefore has better applicability and design flexibility.
Claims (2)
1, a kind of heat radiation passage distribution design method based on animal vascular system formation mechanism by the heat that radiator produces, relies on high thermal conductivity coefficient material heat radiation in the heat transfer system, and the heat transfer system heat radiation passage distribution design method comprises the steps:
1), and after carrying out finite element thermal analysis, obtains by the Temperature Distribution of radiator to being set up finite element model by radiator;
2) form mechanism according to animal vascular system, the heat distribution of radiator is regarded as the CONCENTRATION DISTRIBUTION for the treatment of absorbing material in the animal vascular system, carry out energy loss minimum and adaptive design, energy loss minimum and adaptive design are followed the difference rule of animal vascular system and the rule of growing up, difference rule: follow the energy loss minimal design, promptly the branch of two after difference radius cube and equal the cubic inch of female branch radius, overcome viscous friction during this branching system conveyance fluid and keep the energy minimum that fluid flows loses; It is regular to grow up: follow the adaptive Growth rule, promptly shoot always reaches optimum direction difference growth along a certain functional objective that can make whole branching system;
3) according to step 2) energy loss minimum and the adaptive Growth rule distribution design of carrying out heat dissipation channel, obtain the geometric configuration of the heat dissipation channel that the high thermal conductivity coefficient material forms.
2, according to the described heat radiation passage distribution design method that forms mechanism based on animal vascular system of claim 1, it is characterized in that, the geometric configuration of the heat dissipation channel that described high thermal conductivity coefficient material is formed has the form of nature branching system, high thermal conductivity coefficient distribution of material density depends on by the heat distribution of radiator, be the distribution density height of the big regional high thermal conductivity coefficient material of heat, and the little areal distribution density of heat is low.
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN106971022A (en) * | 2017-02-24 | 2017-07-21 | 上海理工大学 | Structure heat dissipation channel layout optimization design method based on bionic principle |
| CN109737784A (en) * | 2018-12-18 | 2019-05-10 | 东南大学 | A kind of tree rib-pore network phase-change energy storage device |
-
2009
- 2009-03-27 CN CNA2009100484047A patent/CN101510232A/en active Pending
Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN106971022A (en) * | 2017-02-24 | 2017-07-21 | 上海理工大学 | Structure heat dissipation channel layout optimization design method based on bionic principle |
| CN106971022B (en) * | 2017-02-24 | 2020-04-21 | 上海理工大学 | Structure heat dissipation channel layout optimization design method based on bionic principle |
| CN109737784A (en) * | 2018-12-18 | 2019-05-10 | 东南大学 | A kind of tree rib-pore network phase-change energy storage device |
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Open date: 20090819 |