Approximate analytic solution of heat conduction in hollow semi-spheres flying at hypersonic speed
文献类型：期刊论文
| 作者 | Han GL(韩桂来) ; Jiang ZL(姜宗林)
|
| 刊名 | INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER
 |
| 出版日期 | 2013-04-01 |
| 卷号 | 43页码:46-52 |
| 通讯作者邮箱 | hanguilai@imech.ac.cn |
| 关键词 | Heat conduction Theoretical investigation Approximate solution Hypersonic |
| ISSN号 | 0735-1933 |
| 产权排序 | [Han, Guilai; Jiang, Zonglin] Chinese Acad Sci, Stake Key Lab High Temp Gas Dynam LHD, Inst Mech, Beijing 100190, Peoples R China |
| 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. |
| 中文摘要 | 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. |
| 学科主题 | 空气动力学 |
| 收录类别 | SCI ; EI |
| 资助信息 | National Natural Science Foundation of China [90916028] |
| 原文出处 | http://dx.doi.org/10.1016/j.icheatmasstransfer.2013.01.011 |
| 语种 | 英语 |
| WOS记录号 | WOS:000318143200007 |
| 公开日期 | 2013-05-31 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/47257]  |
| 专题 | 力学研究所_高温气体动力学国家重点实验室 |
| 推荐引用方式 GB/T 7714 | Han GL,Jiang ZL. 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.(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. |
入库方式： OAI收割
来源：力学研究所
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