CaltechAUTHORS
  A Caltech Library Service

Note on the induced Lagrangian drift and added-mass of a vortex

Dabiri, John O. (2006) Note on the induced Lagrangian drift and added-mass of a vortex. Journal of Fluid Mechanics, 547 . pp. 105-113. ISSN 0022-1120. https://resolver.caltech.edu/CaltechAUTHORS:DABjfm06

[img]
Preview
PDF - Published Version
See Usage Policy.

511Kb

Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:DABjfm06

Abstract

Darwin (1953) introduced a simple heuristic that relates the Lagrangian fluid drift induced by a solid body propagating in irrotational flow to its virtual- or added-mass. The force required to accelerate the solid body must also overcome this added-mass. An extension of Darwin's (1953) method to the case of vortices propagating in a real fluid is described here. Experiments are conducted to demonstrate the existence of an added-mass effect during uni-directional vortex motion, which is analogous to the effect of solid bodies in potential flow. The definition of the vortex added-mass coefficient is modified from the solid body case to account for entrainment of ambient fluid by the vortex. This modified coefficient for propagating vortices is shown to be equal in magnitude to the classical coefficient for a solid body of equivalent boundary geometry. An implication of these results is that the vortex added-mass concept can be used as a surrogate for the velocity potential, in order to facilitate calculations of the pressure contribution to forces required to set fluid into unsteady vortical motion. Application of these results to unsteady wake analyses and fluid–structure interactions such as vortex-induced vibrations is suggested.


Item Type:Article
ORCID:
AuthorORCID
Dabiri, John O.0000-0002-6722-9008
Additional Information:"Reprinted with the permission of Cambridge University Press." (Received August 3 2005) (Revised October 8 2005) Published Online 11 January 2006
Group:GALCIT
Record Number:CaltechAUTHORS:DABjfm06
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:DABjfm06
Alternative URL:http://dx.doi.org/10.1017/S0022112005007585
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1422
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:18 Jan 2006
Last Modified:02 Oct 2019 22:43

Repository Staff Only: item control page