Calculate the [k] and {f} matrices for the element shown in Figure P13-20. The conductivities are Kxx

Question:

Calculate the [k] and {f} matrices for the element shown in Figure P13-20. The conductivities are Kxx = Kyy = 10 W/(m ( oC) and the convection coefficient is h = 20 W/(m2 ( oC). Convection occurs across the i-m surface. The free-stream temperature is T( = 15oC. The coordinates are shown expressed in units of meters. Let the line source be Q* = 200 W/m as located in the figure. Take the thickness of the element to be 1 m.
Figure P13-20