Unsteady Transfer of Momentum and Heat Between Concentric Cylinders

[+] Author and Article Information
Chia-Shun Yih

University of Michigan, Ann Arbor, Mich.

J. Basic Eng 82(1), 210-215 (Mar 01, 1960) (6 pages) doi:10.1115/1.3662529 History: Received January 22, 1959; Online November 04, 2011


Problems of the molecular transfer of momentum and heat in a fluid between two concentric cylinders are often encountered in the field of lubrication. It is shown herein that these problems can be solved by a generalized Fourier analysis, and that, in particular, varying boundary conditions and nonhomogeneous terms in the diffusion equation which are time-dependent can be treated by the Duhamel method from the theory of the conduction of heat in solids. Heat generated by viscous shear, as well as that externally applied, is included in the analysis.

Copyright © 1960 by ASME
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