A fuel element (k = 67 W/m,K) that can be modeled as a plane wall has a thickness of 4 cm. The fuel element generates 5 × 107W/m3 of heat uniformly. Both side surfaces of the fuel element are cooled by liquid with temperature of 90°C and convection heat transfer coefficient of 5000 W/m2·K, Use a uniform nodal spacing of 4 mm and make use of the symmetry line at the center of the plane wall, determine (a) the finite difference equations and (b) the nodal temperatures by solving those equations.
Answers:439°C. 433°C, 415°C, 386°C, 344°C, 290°C
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