Consider a large plane wall of thickness L = 0.05 m. The wall surface at x =

Question:

Consider a large plane wall of thickness L = 0.05 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 = 30 W/m · K, and heat is generated in the wall at a rate of ėgen = ė0e-0.5x/L W/m3 where ė0 = 8 × 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,

(c) Determine the temperature of the insulated surface of the wall.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question
Question Posted: