Example
Example: A flat plate at an initial temperature of 100 deg. is suddenly immersed into a cold temperature bath of 0 deg. Use the unsteady finite difference equation to determine the transient response of the temperature of the plate.
L(thickness)=0.02 m, k=10 W/m.K, a=10?10-6 m2/s, h=1000 W/m2.K, Ti=100?C, T?=0?C, Dx=0.01 m
Bi=(hDx)/k=1, Fo=(aDt)/(Dx)2=0.1
There are three nodal points: 1 interior and two exterior points: For node 2, it satisfies the case 1 configuration in table 5.2.