Problem

Consider a 5-m-long constantan block (k= 23 W/m·K) 30 cm high and 50 cm wide (Fig. 5-64 on...

Consider a 5-m-long constantan block (k= 23 W/m·K) 30 cm high and 50 cm wide (Fig. 5-64 on the next page) . The block is completely submerged in iced water at 0°C that is well stirred, and the heat transfer coefficient is so high that the temperatures on both sides of the block can be taken to be. 0°C, The bottom surface of the bar is covered with a low-conductivity material so that heat transfer through the bottom surface is negligible. The top surface of the block is heated uniformly by a 8-kW resistance heater. Using the finite difference method with a mesh size of Δx = Δy 10 cm and taking advantage of symmetry. (a) obtain the finite difference formulation of this problem for steady two-dimensional heat transfer, b) determine the unknown nodal temperatures by solving those equations, and (e) determine the rate of heat transfer from the block to the iced water.