Consider the 2-D rectangular region 0 ≤ x ≤ a, 0 ≤ y ≤ b that has an initial uniform temperature F(x, y). For t > 0, the
Posted: Tue Jul 12, 2022 8:40 am
Consider the 2-D rectangular region 0 ≤ x ≤ a, 0 ≤ y ≤ b that has an initial uniform temperature F(x, y). For t > 0, the region is subjected to the following boundary conditions: The boundary surfaces at y = 0 and y = b are maintained at a prescribed temperature To, the boundary at x 0 dissipates heat by convection into a medium with fluid temperature To and with a heat transfer coefficient h, and the boundary surface at x = = 8 a is exposed to constant incident heat flux qő. Calculate the temperature T(x, y, t).