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3 - Governing Equations for an Isolated Spherical Particle

Published online by Cambridge University Press:  28 July 2023

Eric Loth
Eric Loth
Affiliation:
University of Virginia
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Summary

This chapter develops the point-force Equations of Motion for a single spherical particle moving in an unbounded fluid. This includes the particle Equations of Motion, which are considered as a sum of pointwise forces. The drag force is described for solid and fluid particles for Reynolds numbers ranging from creeping flow to turbulent flow. The three acceleration forces of added-mass, fluid-stress, and history forces are explained, and all the forces are combined to provide various Equations of Motion. Finally, heat and mass transfer effects on the particle are discussed.

Keywords

Equation of Motionisolated spherical particledrag forceReynolds numbersacceleration forcesheat and mass transfer
Type
Chapter
Information
Fluid Dynamics of Particles, Drops, and Bubbles , pp. 84 - 129
Publisher: Cambridge University Press
Print publication year: 2023

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