The temporal behaviour of the hydrodynamic force on a body in response to an abrupt change in velocity at small but finite Reynolds number

Author:

Lovalenti Phillip M.,Brady John F.

Abstract

A modification to the O(Re)-accurate expression for the hydrodynamic force acting on a body in arbitrary time-dependent motion, determined by Lovalenti & Brady (1993), is presented. This simple modification captures the O(Re2) transient behaviour of the force, which has been recently shown to dominate at large time (Lawrence & Mei 1995), while maintaining the overall O(Re) accuracy.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference6 articles.

1. Mei, R. , Klausner, J. F. & Lawrence, C. J. 1994 A note on the history force on a spherical bubble at finite Reynolds number.Phys. Fluids 6,418–420.

2. Mei, R. & Adrian, R. J. 1992 Flow past a sphere with an oscillation in the free-stream velocity and unsteady drag at finite Reynolds number.J. Fluid Mech. 237,323–341.

3. Lovalenti, P. M. & Brady, J. F. 1993 The hydrodynamic force on a rigid particle undergoing arbitrary time-dependent motion at small Reynolds number.J. Fluid Mech. 256,561–605 (referred to herein as LB).

4. Lawrence, C. J. & Mei, R. 1995 Long-time behaviour of the drag on a body in impulsive motion.J. Fluid Mech. 283,307–327 (referred to herein as LM).

5. Sano, T. 1981 Unsteady flow past a sphere at low Reynolds number.J. Fluid Mech. 112,433–441.

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