A long bar of rectangular cross section is 60 mm × 90 mm on a side and has a thermal conductivity of 1 W/m∙ K. One surface is exposed to a convection process with air at 100°C and a convection coefficient of 100 W/m2 ∙ K, while the remaining surfaces are maintained at 50°C.
(a) Using a grid spacing of 30 mm and the Gauss-Seidel iteration method, determine the nodal temperatures and the heat rate per unit length normal to the page into the bar from the air.
(b) Determine the effect of grid spacing on the temperature field and heat rate. Specifically, consider a grid spacing of 15 mm. For this grid, explore the effect of changes in h on the temperature field and the isotherms.
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