A plane wall of total thickness = 0.04 m has position-independent internal heat

Question

A plane wall of total thickness = 0.04 m has position-independent internal heat generation. Due to the symmetry of the solution, let x = 0 at the centerline. Given: k = 3 W/(m K) rho = 2500 kg/m^3 Cap C_p = 900 J/(kg K) R_Q = 75,000 J/(m^3 sec) h = 100 W/(m^2 K) Convection to ambient gas surroundings at T_infinity = 20 degree C occurs at both surfaces: x = plusminus 0.02 m At steady state, calculate the surface temperature T = T_s (degree C) at x = x_s = 0.02 m Calculate the temperature at the centerline. T= T_o(degree C)at x = 0 Begin with the equations on page 3 of HO#3. Draw neat sketch T = T(x) for -0.02 lessthanorequalto x lessthanorequalto +0.02 m.

Explanation / Answer

Ans 1

Step1 : basic equation

Heat transfer to the wall- heat transfer out of the wall= rate of change of energy.

Step2: Conduction

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