Equation of motion for a small rigid sphere in a nonuniform flow
Abstract
The forces on a small rigid sphere in a nonuniform flow are considered from first prinicples in order to resolve the errors in Tchen's equation and the subsequent modified versions that have since appeared. Forces from the undisturbed flow and the disturbance flow created by the presence of the sphere are treated separately. Proper account is taken of the effect of spatial variations of the undisturbed flow on both forces. In particular the appropriate Faxen correction for unsteady Stokes flow is derived and included as part of the consistent approximation for the equation of motion.
- Publication:
-
Physics of Fluids
- Pub Date:
- April 1983
- DOI:
- 10.1063/1.864230
- Bibcode:
- 1983PhFl...26..883M
- Keywords:
-
- Computational Fluid Dynamics;
- Equations Of Motion;
- Flow Distortion;
- Nonuniform Flow;
- Spheres;
- Particle Motion;
- Stokes Flow;
- Turbulent Flow;
- Unsteady Flow;
- Fluid Mechanics and Heat Transfer