hw2-010

hw2-010 - Department of Chemical Engineering University of...

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Department of Chemical Engineering University of California, Santa Barbara ChE120B Heat Transfer Winter 2010 Out: Wednesday, January 13, 2010 In: Wednesday, January 27, 2010 Homework 2 1. Given the current energy crisis and the concerns over greenhouse gasses, nuclear energy is being considered again. Nuclear fuel pellets consist of a spherical core of radius R 1 of fissionable material of thermal conductivity k n that generates a certain amount of heat per unit volume by nuclear processes – call this energy production per unit volume, S. To simplify handling the nuclear fuel, these fissionable cores are covered by a spherical casing made from aluminum, of thermal conductivity k a and radius R 2 There is no heat generation within the aluminum casings. The entire fuel pellets are then immersed in a fluid of temperature T f with a heat transfer coefficient, h. a) Using shell energy balances, write down the steady state heat conduction equations for the nuclear core and the aluminum shell. Are these two equations the same? Why would they be different? b) Write down the boundary conditions for both the inner sphere and the outer sphere equations. Write a short explanation for each.
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hw2-010 - Department of Chemical Engineering University of...

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