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1 results

  • 3 - Governing Equations for an Isolated Spherical Particle

  • Eric Loth, University of Virginia
  • Book:
    Fluid Dynamics of Particles, Drops, and Bubbles
    Published online:
    28 July 2023
    Print publication:
    17 August 2023, pp 84-129

  • 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.