Consider a nuclear fuel element (k= 57 W/m·K) that can be modeled as a plane wall with thi...

Consider a nuclear fuel element (k= 57 W/m·K) that can be modeled as a plane wall with thickness of 4 cm. The fuel element generates 3 × 107 W/m3of heat uniformly. Both side surfaces of the fuel element are cooled by liquid with temperature of 80°C and convection heat transfer coefficient of 8000 W/m2· K, Using a uniform nodal spacing of 8 mm, (a) obtain the finite difference equations, (b) determine the nodal temperatures by solving those equations. and (c) compare the surface temperatures of both sides of the fuel element with analytical solution.

FIGURE P5-123