Steady spheroidal vortices—More exact solutions to the Navier-Stokes equation

1 January 1961

journal article
Published by American Mathematical Society (AMS) in Quarterly of Applied Mathematics

Vol. 19 (2) , 163-168
https://doi.org/10.1090/qam/137415

Abstract

The vorticity equation, the curl of the Navier-Stokes equation, is considered in ellipsoidal coordinates. The steady spheroidal vortex solutions are demonstrated as examples of a class of exact flow solutions characterized by a simple linear vorticity distribution.

Keywords

SPHEROIDAL
NAVIER STOKES
STOKES EQUATION
VORTICITY EQUATION
CURL
VORTEX
COORDINATES
FLOW
ELLIPSOIDAL

This publication has 2 references indexed in Scilit:

A Study of Circulation Patterns within Liquid Drops moving through a Liquid
Proceedings of the Physical Society. Section B, 1952
VI. On a spherical vortex
Philosophical Transactions of the Royal Society of London. (A.), 1894