HW2 - Hint: general solution for a differential equation of...

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CHE 303-Problem Set 2 Due October 12, 2011, 4 PM 1) Consider a shielding wall for a nuclear reactor. The wall receives a gamma-ray flux such that the heat is generated within the wall according to the relation ± ² ³´ ± e -ax Where, ³´ ± is the heat generation at the inner face of the wall exposed to the gamma-ray flux and a is a constant. Derive an expression for the temperature distribution in a wall of thickness L, where the inside and outside temperatures are maintained at T i and T 0 respectively. You can assume 1-D heat conduction and steady state. Also, obtain an expression for the maximum temperature in the wall. 2) Derive an expression for the temperature distribution in a plane wall in which distributed heat sources vary according to the linear relation ± ² µ´ ± ¶· ¸ ¹º» ¼ » µ ½¾ Where µ´ ± is a constant. Both sides of the plate are maintained at temperature » µ and the plate thickness is 2L. Assume 1-D heat conduction and steady state.
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Unformatted text preview: Hint: general solution for a differential equation of the form is 3) Electric heater wires are installed in a solid wall having a thickness of 8 cm and k =2.5 W/m. o C. The right face is exposed to an environment with h =50 W/m 2 o C and =30 o C, while the left face is exposed to h =75 W/m 2 o C and =50 o C. What is the maximum allowable heat generation rate such that the maximum temperature in the solid does not exceed 300 o C? 4) Derive an expression for the temperature distribution in a hollow cylinder with heat sources that vary according to the following relation a and b are constants. The inside and outside temperatures are T=T i at r=r i and T=T 0 at r=r 0 Assume steady state and 1-D conduction...
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This note was uploaded on 01/10/2012 for the course CHE 303 taught by Professor Kim during the Fall '09 term at Drexel.

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