Approximate analytic solution of heat conduction in hollow semi-spheres flying at hypersonic speed

	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.
发表期刊	INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER
	2013-04-01
卷号	43 页码:46-52
ISSN	0735-1933
摘要	Heat 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.
关键词	Heat Conduction Theoretical Investigation Approximate Solution Hypersonic
学科领域	空气动力学
URL	查看原文
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000318143200007
项目资助者	National Natural Science Foundation of China [90916028]
课题组名称	高温气体动力学国家重点实验室
引用统计	被引频次：5[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/47257
专题	高温气体动力学国家重点实验室
通讯作者	Han, GL (reprint author), Chinese Acad Sci, Stake Key Lab High Temp Gas Dynam LHD, Inst Mech, Beijing 100190, Peoples R China.
推荐引用方式 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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