Question

ENGR 135 Numerical conduction project, Part 1: 2D steady state conduction A tube with length of 1 m is made from steel (k-15 W/m/K) having a square cross section with a circular hole through the center, as shown below. Calculate the steady state temperature distribution across the cross section and the total rate of heat transfer if the inner surface is held at 20 °C, and the outer surface is held at 100 °C. How does the heat rate vary with grid resolution? Consider 10, 20, 30, 40, and 50 grid points across the width of the cross section Compare the heat rate to an exact solution. Calculate the steady state temperature distribution across the cross section and the total rate of heat transfer if the inner surface is exposed to a fluid with temperature 20 °C resulting in a heat transfer coefficient of 250 W/m2/K, the left and right outer sides are held at 100 °C, and the top and bottom outer sides are insulated. - Hint: Use the symmetry of the problem to reduce your work. Steel 150 mm 75 mm

Answer 1