a large plane vall of m. wall sui is insulated, while the surface at x =L is maintained at a temperature of 30°C. The thermal conductivity of the wall is k=25 W/m °C, and heat is generated in the wall at a rate of g = 9,e0.5x/L W /m³ Where g, = 8 x 106 W /m³. Assuming steady one-dimensional heat transfer, (a) express the differential equation and the boundary conditions for heat conduction through the wall, (b) obtain a relation for the variation of temperature in the wall by solving the differential equation, and (c) determine the temperature of the insulated surface of the wall.
a large plane vall of m. wall sui is insulated, while the surface at x =L is maintained at a temperature of 30°C. The thermal conductivity of the wall is k=25 W/m °C, and heat is generated in the wall at a rate of g = 9,e0.5x/L W /m³ Where g, = 8 x 106 W /m³. Assuming steady one-dimensional heat transfer, (a) express the differential equation and the boundary conditions for heat conduction through the wall, (b) obtain a relation for the variation of temperature in the wall by solving the differential equation, and (c) determine the temperature of the insulated surface of the wall.
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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Transcribed Image Text:Q1/ Consider a large plane wall of thickness L=0.03 m. The wall surface at x =0
is insulated, while the surface at x =L is maintained at a temperature of 30°C. The
thermal conductivity of the wall is k=25 W/m °C, and heat is generated in the
wall at a rate of g = 9oe0.5x/L W/m³ Where g, = 8 x 10 W /m². Assuming
steady one-dimensional heat transfer, (a) express the differential equation and the
boundary conditions for heat conduction through the wall, (b) obtain a relation for
the variation of temperature in the wall by solving the differential equation, and (c)
determine the temperature of the insulated surface of the wall.
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