9 a plane wall of thickness 2l and thermal conductivity k experiences
9 A plane wall of thickness 2L and thermal conductivity k experiences a uniform volumetric generation rate q. As shown in the sketch for Case 1, the surface at x = −L is perfectly insulated, while the other surface is maintained at a uniform, constant temperature T. For Case2, a very thin dielectric strip is inserted at the midpoint of the wall (x = 0) in order to electrically isolate the two sections, A and B. The thermal resistance of the strip is R = 0.0005 m² K/W. The parameters associated with the wall are k= 50 W/m K, L =20 mm, à 5 X 10 W/m², and T = 50°C.0
(a) Sketch the temperature distribution for Case 1 onT-x coordinates. Describe the key features of this distribution. Identify the location of the maximum temperature in the wall and calculate this temperature. (b) Sketch the temperature distribution for Case 2 on the same T-x coordinates. Describe the key features of this distribution. (c) What is the temperature difference between the two walls at x = 0 for Case 2? (d) What is the location of the maximum temperature in the composite wall of Case 2? Calculate this temperature.
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