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EXAMPLE 5.4-1. Unsteady-State Conduction and the SchmidtNumerical Method
A slab of material 1.00 m thick is at a uniform temperature of 100"c. The frontsurface is suddenly exposed to a constant environmental temperature of 0.c.The convective resistance is zero (h: oo). The back surface of the slab is insu-lated. The thermal diffusivity a : 2.00 x 10-s m2l$. Using five slices each 0.20 mthick and the schmidt numerical method with M = 2.0, calculate the temperatureprofile at r : 6000 s. use the special procedure for the flrst time increment.
solution: Figure 5.4-2 shows the temperature profile at r : 0 and the environ-mental temperature of ro : 0'c with five slices used. For the Schmidt method,M :2. Substituting into Eq. (5.4-3) with a:2.00 x t0 5 and A-x : 0.20 andsolving for Ar,
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