A fuel element (k = 67 W/m K) that can be modeled as a plane wall

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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 × 107 W/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

(b) The nodal temperatures by solving those equations.

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