A cylindrical aluminum fin with adiabatic tip is attached to a wall with surface temperature of 300°C, and is exposed to ambient air condition of 15°Cwith convection heat transfer coefficient of 150 W/m2-K. The fin has a uniform cross section with diameter of 1em,length of5 cm, and thermal conductivity of 237 W/m·K. Assume steady one-dimensional heat transfer along the fin and the nodal spacing to be uniformly 10 rom, (a) obtain the finite difference equations for use with the Gauss-Seidel iterative method, and (b) determine the nodal temperatures using the Gauss-Seidel iterative method and compare the results with the analytical solution. Answers: 273.7°C, 253.9°C, 240.1°C, 232.0°C, 229.3°C
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