Consider a long concrete dam (k = 0.6 W/m K, s = 0.7) of triangular

Consider a long concrete dam (k = 0.6 W/m · K, α_s = 0.7) of triangular cross section whose exposed surface is subjected to solar heat flux of q̇_s = 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.

Transcribed Image Text:

h Too Water 1 m 2 9s 1 m 4 1 m 3 5 1 m 6