To compare five kinds of different boundary conditions (BCs), an analytical solution of a steady and one-dimensional problem of transpiration cooling described by a local thermal nonequilibrium (LTNE) model is presented in this work. The influence of the five BCs on temperature field and thermal effectiveness is discussed using the analytical solution. Two physical criteria, if the analytical solution of coolant temperature may be higher than hot gas temperature at steady state and if the variation trend of thermal effectiveness with coolant mass flow rate at hot surface is reasonable, are used to estimate the five BCs. Through the discussions, it is confirmed which BCs at all conditions are usable, which BCs under certain conditions are usable, and which BCs are thoroughly unreasonable.
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Discussion of Boundary Conditions of Transpiration Cooling Problems Using Analytical Solution of LTNE Model
Jianhua Wang,
Jianhua Wang
Professor Dr.-Ing.
Mem. ASME
Department of Thermal Science and Energy Engineering,
e-mail: jhwang@ustc.edu.cn
University of Science and Technology of China
, Jinzhai Road No. 96, Hefei, Anhui 230027, P.R.C.
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Junxiang Shi
Junxiang Shi
Graduate Student
Department of Thermal Science and Energy Engineering,
e-mail: shijx@mail.ustc.edu.cn
University of Science and Technology of China
, Jinzhai Road No. 96, Hefei, Anhui 230027, P.R.C.
Search for other works by this author on:
Jianhua Wang
Professor Dr.-Ing.
Mem. ASME
Department of Thermal Science and Energy Engineering,
University of Science and Technology of China
, Jinzhai Road No. 96, Hefei, Anhui 230027, P.R.C.e-mail: jhwang@ustc.edu.cn
Junxiang Shi
Graduate Student
Department of Thermal Science and Energy Engineering,
University of Science and Technology of China
, Jinzhai Road No. 96, Hefei, Anhui 230027, P.R.C.e-mail: shijx@mail.ustc.edu.cn
J. Heat Transfer. Jan 2008, 130(1): 014504 (5 pages)
Published Online: January 28, 2008
Article history
Received:
July 25, 2006
Revised:
June 1, 2007
Published:
January 28, 2008
Citation
Wang, J., and Shi, J. (January 28, 2008). "Discussion of Boundary Conditions of Transpiration Cooling Problems Using Analytical Solution of LTNE Model." ASME. J. Heat Transfer. January 2008; 130(1): 014504. https://doi.org/10.1115/1.2780188
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