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3 - Governing Equations for an Isolated Spherical Particle

Published online by Cambridge University Press:  28 July 2023

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.

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Publisher: Cambridge University Press
Print publication year: 2023

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