CHAPTER 2: Low-reynolds-number flows

Howard A. Stone, Camille Duprat

Research output: Chapter in Book/Report/Conference proceedingChapter

4 Scopus citations

Abstract

In this chapter, we provide a brief description of some of the main results of low-Reynolds-number hydrodynamics. In particular, we introduce the general subject by way of several example flows and provide derivations or explanations of some of the fluid dynamics themes that are used in later chapters of this book: channel flows, Darcy's approximation, kinematic reversibility, integral equations, point forces, slender body theory, Jeffery orbits, etc. Specifically, we discuss general theoretical principles, and describe various problems involving the motion of rigid spherical particles, deformable particles, and elongated particles. The main goal of this chapter is to present the physical intuition and underlying mathematics of common low-Reynolds-number flow situations.

Original languageEnglish (US)
Title of host publicationFluid�Structure Interactions in Low-Reynolds-Number Flows
EditorsCamille Duprat, Howard A. Stone
PublisherRoyal Society of Chemistry
Pages25-77
Number of pages53
Edition4
DOIs
StatePublished - Jan 1 2016

Publication series

NameRSC Soft Matter
Number4
Volume2016-January

All Science Journal Classification (ASJC) codes

  • Biochemistry
  • Chemistry(all)
  • Chemical Engineering(all)

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    Stone, H. A., & Duprat, C. (2016). CHAPTER 2: Low-reynolds-number flows. In C. Duprat, & H. A. Stone (Eds.), Fluid�Structure Interactions in Low-Reynolds-Number Flows (4 ed., pp. 25-77). (RSC Soft Matter; Vol. 2016-January, No. 4). Royal Society of Chemistry. https://doi.org/10.1039/9781782628491-00025