Calculate the [k] and { f } matrices for the element shown in Figure P13–20. The conduct...

Calculate the [k] and { f } matrices for the element shown in Figure P13–20. The conductivities are K_xx = K_yy = 15 W/(m . ° C) and the convection coefficient is h = 20 W/(m² . ° C). Convection occurs across the i-m surface. The free-stream temperature is T_∞ = 15 ° C. The coordinates are shown expressed in units of meters. Let the line source be Q* = 100 W/m as located in the figure. Take the thickness of the element to be 1 m.