Transpiration cooling in a planar system. Two large flat porous horizontal plates are sepa- rated by a relatively small distance L. The upper plate at y = L is at temperature T₁, and the lower one at y = 0 is to be maintained at a lower temperature To. To reduce the amount of heat that must be removed from the lower plate, an ideal gas at To is blown upward through both plates at a steady rate. Develop an expression for the temperature distribution and the amount of heat qo that must be removed from the cold plate per unit area as a function of the fluid properties and gas flow rate. Use the abbreviation = pCpv,L/k. T-TL ey/L - e Answer: ; k(T₁ - To L To-T 1 -90=

Transpiration cooling in a planar system. Two large flat porous horizontal plates are sepa- rated by a relatively small distance L. The upper plate at y = L is at temperature T₁, and the lower one at y = 0 is to be maintained at a lower temperature To. To reduce the amount of heat that must be removed from the lower plate, an ideal gas at To is blown upward through both plates at a steady rate. Develop an expression for the temperature distribution and the amount of heat qo that must be removed from the cold plate per unit area as a function of the fluid properties and gas flow rate. Use the abbreviation = pCpv,L/k. T-TL ey/L - e Answer: ; k(T₁ - To L To-T 1 -90=

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

11B.6. Transpiration cooling in a planar system. Two large flat porous horizontal plates are sepa-
rated by a relatively small distance L. The upper plate at y = L is at temperature T₁, and the
lower one at y = 0 is to be maintained at a lower temperature To. To reduce the amount of
heat that must be removed from the lower plate, an ideal gas at To is blown upward through
both plates at a steady rate. Develop an expression for the temperature distribution and the
amount of heat qo that must be removed from the cold plate per unit area as a function of the
fluid properties and gas flow rate. Use the abbreviation = pCpv,L/k.
Answer:
edy/Let
1-e
k(T₁ - To) Φ
L
T-TL
To - TL
Problems 365
; 9⁰ =

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