For the element shown in Figure P13–19, determine the [k] and {f } matrices. The conduct...

For the element shown in Figure P13–19, determine the [k] and {f } matrices. The conductivities are K_xx = K_yy = 15 Btu/(h-ft-° F) and the convection coefficient is h = 20 Btu/(h-ft²-° F). Convection occurs across the i-j surface. The free-stream temperature is T_∞ = 70 ° F. The coordinates are expressed in units of feet. Let the line source be Q* = 150 Btu/(h-ft) as located in the figure. Take the thickness of the element to be 1 ft.