6. Consider 10 transient heat conduction in a plane wall with L = 0.4m, p = 2000 kg/m', Cp = 500J/kg:K, and k = 400 w/ m

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6 Consider 10 Transient Heat Conduction In A Plane Wall With L 0 4m P 2000 Kg M Cp 500j Kg K And K 400 W M 1 (41.11 KiB) Viewed 37 times

6. Consider 10 transient heat conduction in a plane wall with L = 0.4m, p = 2000 kg/m', Cp = 500J/kg:K, and k = 400 w/ mk. The initial condition is: att = 0,T= 20°C; and boundary conditions are: at x = 0, T=10°C, and at x = L, T- 20°C. No heat generation, see Figure below. (a) Calculate the thermal diffusivity, a. [5 points) (b) At t=4s, calculate the Fourier number, Fo. (5 points) (c) Find the temperature distribution within the wall at the time t = 4s. (5 points) (d) Find the temperature distribution at steady state (i.e., at t=00). (5 points) Figure for Problem #6: t=0, T=20°C 20°C 10°C х 0 L