Consider a long concrete dam (k= 0.6 W/m·K, as = 0.7) of triangular cross section whose ex...

Consider a long concrete dam (k= 0.6 W/m·K, as = 0.7) of triangular cross section whose exposed surface is subjected to solar heat flux of qs =800 W/m2 and to convection and radiation to the environment at 25°C with a combined heat transfer coefficient of 30 W/m2∙K. The 2-m-high vertical section of the dam is subjected to convection by water at 15°C with a heat transfer coefficient of 150 W/m2·k, and heat transfer through the 2-m-long base is considered to be negligible. Using the finite difference method with a mesh size of Δx = Δy  = 1 m and assuming steady two dimensional heat transfer, determine the temperature of the top, middle, and bottom of the exposed surface of the dam.

FIGURE P 5-72