Technical Briefs

Transient Conduction in a Hollow Cylinder With Variable Thermal Conductivity

[+] Author and Article Information
M. Kandula

 ASRC Aerospace, NASA Kennedy Space Center, FL 32899max.kandula-1@nasa.gov

J. Heat Transfer 132(5), 054503 (Mar 09, 2010) (3 pages) doi:10.1115/1.4000471 History: Received June 29, 2009; Revised September 02, 2009; Published March 09, 2010; Online March 09, 2010

A closed form approximate solution has been obtained for the transient temperature distribution in a hollow cylinder with a linear variation in thermal conductivity with temperature. The boundary conditions considered are convective heating (Newton’s law) at the exposed inner surface and adiabatic outer surface. The solution is obtained using the method of optimal linearization, with the initial solution given by the integral method. The nonlinear analytical solution is shown to compare well with the finite difference solution.

Copyright © 2010 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

Schematic of the hollow cylinder configuration

Grahic Jump Location
Figure 2

Temperature distribution in a hollow cylinder with variable thermal conductivity




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