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Technical Briefs

Discussion of Boundary Conditions of Transpiration Cooling Problems Using Analytical Solution of LTNE Model

[+] Author and Article Information
Jianhua Wang

Department of Thermal Science and Energy Engineering, University of Science and Technology of China, Jinzhai Road No. 96, Hefei, Anhui 230027, P.R.C.jhwang@ustc.edu.cn

Junxiang Shi

Department of Thermal Science and Energy Engineering, University of Science and Technology of China, Jinzhai Road No. 96, Hefei, Anhui 230027, P.R.C.shijx@mail.ustc.edu.cn

J. Heat Transfer 130(1), 014504 (Jan 28, 2008) (5 pages) doi:10.1115/1.2780188 History: Received July 25, 2006; Revised June 01, 2007; Published January 28, 2008

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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Copyright © 2008 by American Society of Mechanical Engineers
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References

Figures

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Figure 2

(a) Temperature distribution within the plate at M=5 for the first BC; (b) temperature variation at the hot interface with coolant mass flow rate for the first BC

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Figure 3

(a) Temperature profile near the hot surface at M=5 for the second and third BCs; (b) temperature variation at the hot interface with coolant mass rate for the second and third BCs

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Figure 4

(a) Temperature distribution within the plate at M=1 for the frouth BC; (b) temperature variation at the hot interface with coolant mass flow rate for the fourth BC

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Figure 5

Temperature variation at the hot interface with coolant mass flow rate for the fifth BC

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Figure 6

Comparison of temperatures obtained by different BCs at the hot interface

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Figure 7

Comparison of thermal effectiveness of different BCs at the hot interface

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Figure 1

Schematic diagram of transpiration cooling problem

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