Mathematica 9 is now available

Wolfram Library Archive


All Collections Articles Books Conference Proceedings
Courseware Demos MathSource Technical Notes
Title Downloads

Creeping Flow Caused by a Rotating Sphere
Author

Mark J. McCready
Organization: University of Notre Dame
Department: Department of Chemical Engineering
URL: http://www.nd.edu/~mjm
Old MathSource #

0210-418
Revision date

1999-06-09
Description

Rotating Sphere This notebook shows how to solve the flow field for a rotating sphere at low Reynolds number showing the zeroth and first order solutions. A regular perturbation expansion is used. At the lowest order, inertial terms are neglected and the flow is pure rotation that decays away from the sphere. The perturbation improvement takes into account weak inertia and this causes a secondary flow in the r and q directions.

This notebook is intended as a supplement to L. G. Leal (1992) Laminar flow and Convective Transport Processes, Butterworth.
Subject

*Science > Physics > Fluid Mechanics
Keywords

Creeping flow, Rotating Sphere, Regular Perturbation, Low Reynolds number fluid dynamics
Downloads Download Wolfram CDF Player

Download
rotatingsphere.nb (277.2 KB) - Mathematica V3/4 notebook