hw12 - S09 - Chemical Engineering 150A Spring Semester,...

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Chemical Engineering 150A Spring Semester, 2009 Homework 12: Steady and Transient Conduction Problems Problem 1 Consider an electrical wire with radius R and electrical conductivity k e ohm -1 cm -1 . An electric current with current density I amp/cm 2 flows through the wire. The transmission of an electric current is an irreversible process, and some electrical energy is converted into heat. The rate of heat production per unit volume is given by 2 e I q k = (a) Starting with equation 16-13 in WWWR (see handout under “Heat Transfer”), determine the form of the equation that will describe heat transfer in the wire if the thermal conductivity is constant. (b) Reduce the equation from part (a) to the form applicable for steady state heat transfer in the r direction. (c) If the temperature at the surface of the wire (at r = R) is maintained at T o , solve for the temperature profile. (d)
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hw12 - S09 - Chemical Engineering 150A Spring Semester,...

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