Consider a long solid bar whose thermal conductivity is k= 5 W/m·K and whose cross section...

Consider a long solid bar whose thermal conductivity is k= 5 W/m·K and whose cross section is given in the figure. The top surface of the bar is maintained at 50°C while the bottom surface is maintained at 120°C. The left surface is insulated and the remaining three surfaces are subjected to convection with ambient air at T∞ = 25°C with a heat transfer coefficient of h = 40 W/m2·K. Using the finite difference method with a mesh size of Δx = Δy= 10 cm, (a) obtain the finite difference formulation of this problem for steady two-dimensional heat transfer and (b) determine the unknown nodal temperatures by solving those equations. ,

Answers: (b) 78.8° C, 72.7°C. 64°C

FIGURE P5-73