Technical Brief: Asymptotic Temperature Distribution in a Simulated Combustion Chamber

[+] Author and Article Information
Anand B. Vyas

Department of Mathematical Sciences, University of Delaware, Newark, DE 19716

Joseph Majdalani1

Department of Mechanical, Aerospace, and Biomedical Engineering, University of Tennessee Space Institute, Tullahoma, TN 37388drmajdalani@gmail.com


Corresponding author.

J. Heat Transfer 129(7), 894-898 (Jul 17, 2006) (5 pages) doi:10.1115/1.2714591 History: Received February 05, 2006; Revised July 17, 2006

In an axisymmetric model of a solid rocket motor, a cylindrical combustion chamber with porous walls is considered. For a posited range of operating parameters, the energy equation is perturbed and linearized using the dimensionless Péclet number. The possibility of circumventing chemical reactions while retaining the essential physics of the problem is explored. This is accomplished by artificially introducing a distributed heat source above the propellant surface. The resulting energy equation is then solved to zeroth order. The analytical solution and corresponding temperature maps are verified qualitatively using comparisons with numerical simulations of the combustion chamber.

Copyright © 2007 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

Idealized motor chamber and system of coordinates illustrating the thin sheet approximation of the heat source

Grahic Jump Location
Figure 2

Isotherms for b=0.9, T̂=0.8, and (a) q̇=2.5; (b) q̇=25; and (c) q̇=12.5



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