Extension of Transonic Flow Computational Concepts in the Analysis of Cavitated Bearings

[+] Author and Article Information
D. Vijayaraghavan

NASA/LeRC, Cleveland, Ohio 44135

T. G. Keith

Department of Mechanical Engineering, University of Toledo, Toledo, Ohio

D. E. Brewe

US Army Aviation Research and Technology Activity - AVSCOM, NASA/LeRC, Cleveland, Ohio

J. Tribol 113(3), 539-546 (Jul 01, 1991) (8 pages) doi:10.1115/1.2920657 History: Received March 07, 1990; Revised June 23, 1990; Online June 05, 2008


In this paper, an analogy between the mathematical modeling of transonic potential flow and the flow in a cavitating bearing is described. Based on the similarities, characteristics of the cavitated region and jump conditions across the film reformation and rupture fronts are developed using the method of weak solutions. The mathematical analogy is extended by utilizing a few computational concepts of transonic flow to numerically model the cavitating bearing. Methods of shock fitting and shock capturing are discussed. Various procedures used in transonic flow computations are adapted to bearing cavitation applications, e.g., type differencing, grid transformation, an approximate factorization technique, and Newton’s iteration method. These concepts have proved to be successful and have vastly improved the efficiency of numerical modeling of cavitated bearings.

Copyright © 1991 by The American Society of Mechanical Engineers
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