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Approximate analytic solution of heat conduction in hollow semi-spheres flying at hypersonic speed
Han GL(韩桂来); Jiang ZL(姜宗林); Han, GL (reprint author), Chinese Acad Sci, Stake Key Lab High Temp Gas Dynam LHD, Inst Mech, Beijing 100190, Peoples R China.
Source PublicationINTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER
2013-04-01
Volume43Pages:46-52
ISSN0735-1933
AbstractHeat transfer in blunt noses of hypersonic vehicles with coolant inside can be approximately considered as heat conduction in hollow semi-sphere with aerodynamic heating on the outer boundary and enhanced cooling on the inner boundary. Theoretical investigations of temperature field in hollow semi-spheres were carried out by solving the two-dimensional axsymmetric conduction equation, which could be transformed into Legendre equation when the separation of variables is applied. However, for such a semi-sphere flying at hypersonic speed, the distribution of heat transfer rates as an outer boundary condition is so complex that the integration in the Legendre solution is nearly impossible to be completed. In this paper, a 4th order Legendre polynomial, derived by the method of undetermined coefficients, was adopted to approach the local similarity solution of hypersonic aerodynamic heating and simplify the integration process, by which an approximate solution could be set up for the temperature field. The approximate solution is also validated by comparing the analytical results with data from numerical simulations, in which the conduction equation is solved with the improved Richardson scheme. Both analytical and numerical results are compared to each other and match quite well.
KeywordHeat Conduction Theoretical Investigation Approximate Solution Hypersonic
Subject Area空气动力学
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Indexed BySCI ; EI
Language英语
WOS IDWOS:000318143200007
Funding OrganizationNational Natural Science Foundation of China [90916028]
Department高温气体动力学国家重点实验室
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Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/47257
Collection高温气体动力学国家重点实验室
Corresponding AuthorHan, GL (reprint author), Chinese Acad Sci, Stake Key Lab High Temp Gas Dynam LHD, Inst Mech, Beijing 100190, Peoples R China.
Recommended Citation
GB/T 7714
Han GL,Jiang ZL,Han, GL . Approximate analytic solution of heat conduction in hollow semi-spheres flying at hypersonic speed[J]. INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER,2013,43:46-52
APA 韩桂来,姜宗林,&Han, GL .(2013).Approximate analytic solution of heat conduction in hollow semi-spheres flying at hypersonic speed.INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER,43,46-52.
MLA 韩桂来,et al."Approximate analytic solution of heat conduction in hollow semi-spheres flying at hypersonic speed".INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER 43(2013):46-52.
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