For the element shown in Figure P13-19, determine the [k] and {f} matrices. The conductivities are Kxx

Question:

For the element shown in Figure P13-19, determine the [k] and {f} matrices. The conductivities are Kxx = Kyy 510 Btu / (h-ft-oF) and the convection coefficient is h = 20 Btu/(h-ft2 -oF). Convection occurs across the i-j surface. The free-stream temperature is T( = 70 oF. The coordinates are expressed in units of feet. Let the line source be Q* = 300 Btu / (h-ft) as located in the figure. Take the thickness of the element to be 1 ft.
Figure P13-19