A thin plate is initially at a uniform temperature of 200°C. At a certain timet =...

A thin plate is initially at a uniform temperature of 200°C. At a certain timet = 0 the temperature of the east side of the plate is suddenly reduced to 0°C. The other surface is insulated. Use the explicit finite volume method in con- junction with a suitable time step size to calculate the transient temperature distribution of the slab and compare it with the analytical solution at time (i) t = 40 s, (ii) t = 80 s and (iii) t = 120 s. Recalculate the numerical solution using a time step size equal to the limit given by (8.13) for t = 40 s and com- pare the results with the analytical solution. The data are: plate thicknessL = 2 cm, thermal conductivity k = 10 W/m.K and ?c = 10 × 106 J/m3.K.

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samet mamat answered 2 years ago

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