The Unsteady Potential Flow in an Axially Variable Annulus and Its Effect on the Dynamics of the Oscillating Rigid Center-Body

[+] Author and Article Information
Dan Mateescu, Michael P. Paidoussis

Department of Mechanical Engineering, McGill University, Montreal, Quebec, Canada H3A 2K6

J. Fluids Eng 107(3), 421-427 (Sep 01, 1985) (7 pages) doi:10.1115/1.3242503 History: Received July 19, 1984; Online October 26, 2009


This paper presents an analytical investigation of the unsteady potential flow in a narrow annular passage formed by a motionless rigid duct and an oscillating rigid center-body, both of axially variable cross section, in order to determine the fluid-dynamic forces exerted on the center-body. Based on this theory, a first-approximation solution as well as a more accurate solution are derived for the unsteady incompressible fluid flow. The stability of the center-body is investigated, in terms of the aerodynamic (or hydrodynamic) coefficients of damping, stiffness and inertia (virtual mass), as determined by this theory. The influence of various system parameters on stability is discussed.

Copyright © 1985 by ASME
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