A 1-m-long and 0.1-m-thick steel plate of thermal conductivity 35 W/m · K is well insulated on its both sides, while the top surface is exposed to a uniform heat flux of 5500 W/m². The bottom surface is convectively cooled by a fluid at 10°C having a convective heat transfer coefficient of 150 W/m² · K. Assuming one dimensional heat conduction in the lateral direction, find the temperature at the midpoint of the plate. Discretize the plate thickness into four equal parts.