Consider steady-state heat conduction in an isotropic rectangular region of dimensions 3a×2a, as shown in Fig XXXXXXXXXXa). The origin of the x and y coordinates is taken at the lower left corner such...

Consider steady-state heat conduction in an isotropic rectangular region of dimensions 3a×2a, as shown in Fig. 3.3.10(a). The origin of the x and y coordinates is taken at the lower left corner such that x is parallel to the side 3a and y is parallel to the side 2a. Boundaries x = 0 and y = 0 are insulated, boundary x = 3a is maintained at zero temperature, and boundary y = 2a is maintained at temperature T = T0 cos(πx/6a). Determine the temperature distribution using (1) mesh of linear triangular elements shown in Fig. 3.3.10(b) and (2) mesh of linear rectangular elements shown in Fig. 3.3.10(c).