An analytical theory of heated duct flows in supersonic combustors
One-dimensional analytical theory is developed for supersonic duct flow with variation of cross section, wall friction, heat addition, and relations between the inlet and outlet flow parameters are obtained. By introducing a selfsimilar parameter, effects of heat releasing, wall friction, and change...
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doaj-26fc366a0fbb47a6ad9bf76c2609778b2020-11-24T23:41:42ZengElsevierTheoretical and Applied Mechanics Letters2095-03492014-01-014310.1063/2.1403201An analytical theory of heated duct flows in supersonic combustorsChenxi WuFengquan ZhongJing FanOne-dimensional analytical theory is developed for supersonic duct flow with variation of cross section, wall friction, heat addition, and relations between the inlet and outlet flow parameters are obtained. By introducing a selfsimilar parameter, effects of heat releasing, wall friction, and change in cross section area on the flow can be normalized and a self-similar solution of the flow equations can be found. Based on the result of self-similar solution, the sufficient and necessary condition for the occurrence of thermal choking is derived. A relation of the maximum heat addition leading to thermal choking of the duct flow is derived as functions of area ratio, wall friction, and mass addition, which is an extension of the classic Rayleigh flow theory, where the effects of wall friction and mass addition are not considered. The present work is expected to provide fundamentals for developing an integral analytical theory for ramjets and scramjets.http://www.sciencedirect.com/science/article/pii/S209503491530310Xduct flow with heatingself-similar solutionthermal chokingsupersonic combustor |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Chenxi Wu Fengquan Zhong Jing Fan |
spellingShingle |
Chenxi Wu Fengquan Zhong Jing Fan An analytical theory of heated duct flows in supersonic combustors Theoretical and Applied Mechanics Letters duct flow with heating self-similar solution thermal choking supersonic combustor |
author_facet |
Chenxi Wu Fengquan Zhong Jing Fan |
author_sort |
Chenxi Wu |
title |
An analytical theory of heated duct flows in supersonic combustors |
title_short |
An analytical theory of heated duct flows in supersonic combustors |
title_full |
An analytical theory of heated duct flows in supersonic combustors |
title_fullStr |
An analytical theory of heated duct flows in supersonic combustors |
title_full_unstemmed |
An analytical theory of heated duct flows in supersonic combustors |
title_sort |
analytical theory of heated duct flows in supersonic combustors |
publisher |
Elsevier |
series |
Theoretical and Applied Mechanics Letters |
issn |
2095-0349 |
publishDate |
2014-01-01 |
description |
One-dimensional analytical theory is developed for supersonic duct flow with variation of cross section, wall friction, heat addition, and relations between the inlet and outlet flow parameters are obtained. By introducing a selfsimilar parameter, effects of heat releasing, wall friction, and change in cross section area on the flow can be normalized and a self-similar solution of the flow equations can be found. Based on the result of self-similar solution, the sufficient and necessary condition for the occurrence of thermal choking is derived. A relation of the maximum heat addition leading to thermal choking of the duct flow is derived as functions of area ratio, wall friction, and mass addition, which is an extension of the classic Rayleigh flow theory, where the effects of wall friction and mass addition are not considered. The present work is expected to provide fundamentals for developing an integral analytical theory for ramjets and scramjets. |
topic |
duct flow with heating self-similar solution thermal choking supersonic combustor |
url |
http://www.sciencedirect.com/science/article/pii/S209503491530310X |
work_keys_str_mv |
AT chenxiwu ananalyticaltheoryofheatedductflowsinsupersoniccombustors AT fengquanzhong ananalyticaltheoryofheatedductflowsinsupersoniccombustors AT jingfan ananalyticaltheoryofheatedductflowsinsupersoniccombustors AT chenxiwu analyticaltheoryofheatedductflowsinsupersoniccombustors AT fengquanzhong analyticaltheoryofheatedductflowsinsupersoniccombustors AT jingfan analyticaltheoryofheatedductflowsinsupersoniccombustors |
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1725505837769687040 |