A bare slab fuel element is 0.2 inches thick with a thermal conductivity of 10 BTU/hr-ft-F. It produces a volumetric heat rate of 5x107 BTU/hr-ft³. At the left hand side (x = 0), the convective heat transfer coefficient is 400 BTU/hr-ft²-F with a fluid temperature of 700 F. At the right hand side (x=0.2inches), the convective heat transfer coefficient is 300 BTU/hr-ft²-F with a fluid temperature of 700F. a) Determine the steady state temperature distribution in the slab. (Hint: Remember when applying heat flux boundary conditions that you must consider the direction of the heat flux) b) At what position is the maximum temperature in the slab and its temperature?-- c) What is the temperature at each face? d) What is the surface heat flux at each face?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A bare slab fuel element is 0.2 inches thick with a thermal conductivity of 10 BTU/hr-ft-F. It produces a
volumetric heat rate of 5x107 BTU/hr-ft³. At the left hand side (x = 0), the convective heat transfer
coefficient is 400 BTU/hr-ft²-F with a fluid temperature of 700 F. At the right hand side (x=0.2inches), the
convective heat transfer coefficient is 300 BTU/hr-ft²-F with a fluid temperature of 700F.
a) Determine the steady state temperature distribution in the slab. (Hint: Remember when
applying heat flux boundary conditions that you must consider the direction of the heat flux)
b) At what position is the maximum temperature in the slab and its temperature?--
c) What is the temperature at each face?
d) What is the surface heat flux at each face?
Transcribed Image Text:A bare slab fuel element is 0.2 inches thick with a thermal conductivity of 10 BTU/hr-ft-F. It produces a volumetric heat rate of 5x107 BTU/hr-ft³. At the left hand side (x = 0), the convective heat transfer coefficient is 400 BTU/hr-ft²-F with a fluid temperature of 700 F. At the right hand side (x=0.2inches), the convective heat transfer coefficient is 300 BTU/hr-ft²-F with a fluid temperature of 700F. a) Determine the steady state temperature distribution in the slab. (Hint: Remember when applying heat flux boundary conditions that you must consider the direction of the heat flux) b) At what position is the maximum temperature in the slab and its temperature?-- c) What is the temperature at each face? d) What is the surface heat flux at each face?
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