A large stainless steel plate with 2 mm thickness and themal conductivity, k = 15 W/mK generates heat uniformly at a rate of 3 x 10° kW/m'. If the surface temperature on both sides of the plate are 100°C; O Write the goverming equation for the case above and state the assumptions; (i) Obtain the temperature distribution expression by solving the governing equation; (iii) Determine the maximum temperature inside the plate; (iv) Sketch the temperature profile if one of the surfaces are insulated.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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1. A large stainless steel plate with 2 mm thickness and thermal conductivity, k = 15 W/mK
generates heat uniformly at a rate of 3 x 107 kW/m². If the surface temperature on both sides of
the plate are 100°C;
) Write the governing equation for the case above and state the assumptions;
(11) Obtain the temperature distribution expression by solving the goveming equation;
(iii) Determine the maximum temperature inside the plate;
(iv) Sketch the temperature profile if one of the surfaces are insulated.
Transcribed Image Text:1. A large stainless steel plate with 2 mm thickness and thermal conductivity, k = 15 W/mK generates heat uniformly at a rate of 3 x 107 kW/m². If the surface temperature on both sides of the plate are 100°C; ) Write the governing equation for the case above and state the assumptions; (11) Obtain the temperature distribution expression by solving the goveming equation; (iii) Determine the maximum temperature inside the plate; (iv) Sketch the temperature profile if one of the surfaces are insulated.
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