The Effect of Curvature and Torsion on the Temperature Distribution in a Helix

[+] Author and Article Information
D. D. Sayers, M. C. Potter

Department of Mechanical Engineering, Michigan State University, East Lansing, MI 48824

J. Appl. Mech 52(3), 529-532 (Sep 01, 1985) (4 pages) doi:10.1115/1.3169095 History: Received December 01, 1983; Revised August 01, 1984; Online July 21, 2009


Traditional analysis treats the helix as a straight wire with the effects of nonuniform heating, torsion, and large curvature ignored. Using a helical coordinate system the governing partial differential equation including these effects is derived. The equation is then solved numerically using the finite element method. The results indicate a strong dependence of the temperature on the torsion parameter when the curvature parameter is significant. As the curvature parameter increases, the temperature distribution becomes skew-symmetric and the maximum temperature in the helix increases. Nonuniform heating influences the temperature distribution independent of the curvature and torsion.

Copyright © 1985 by ASME
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