Low Reynolds number hydrodynamics

1. Front Matter

   Pages i-xii

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2. Introduction

   • John Happel, Howard Brenner

   Pages 1-22

3. The Behavior of Fluids in Slow Motion

   • John Happel, Howard Brenner

   Pages 23-57

4. Some General Solutions and Theorems Pertaining to the Creeping Motion Equations

   • John Happel, Howard Brenner

   Pages 58-95

5. Axisymmetrical Flow

   • John Happel, Howard Brenner

   Pages 96-158

6. The Motion of a Rigid Particle of Arbitrary Shape in an Unbounded Fluid

   • John Happel, Howard Brenner

   Pages 159-234

7. Interaction between Two, or More Particles

   • John Happel, Howard Brenner

   Pages 235-285

8. Wall Effects on the Motion of a Single Particle

   • John Happel, Howard Brenner

   Pages 286-357

9. Flow Relative to Assemblages of Particles

   • John Happel, Howard Brenner

   Pages 358-430

10. The Viscosity of Particulate Systems

    • John Happel, Howard Brenner

    Pages 431-473

11. Back Matter

    Pages 474-553

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One studying the motion of fluids relative to particulate systems is soon impressed by the dichotomy which exists between books covering theoretical and practical aspects. Classical hydrodynamics is largely concerned with perfect fluids which unfortunately exert no forces on the particles past which they move. Practical approaches to subjects like fluidization, sedimentation, and flow through porous media abound in much useful but uncorrelated empirical information. The present book represents an attempt to bridge this gap by providing at least the beginnings of a rational approach to fluid­ particle dynamics, based on first principles. From the pedagogic viewpoint it seems worthwhile to show that the Navier-Stokes equations, which form the basis of all systematic texts, can be employed for useful practical applications beyond the elementary problems of laminar flow in pipes and Stokes law for the motion of a single particle. Although a suspension may often be viewed as a continuum for practical purposes, it really consists of a discrete collection of particles immersed in an essentially continuous fluid. Consideration of the actual detailed boundary­ value problems posed by this viewpoint may serve to call attention to the limitation of idealizations which apply to the overall transport properties of a mixture of fluid and solid particles.

• dynamics

• Department of Chemical Engineering and Applied Chemistry, Columbia University, New York, USA

  John Happel

• Department of Chemical Engineering, Cambridge, USA

  Howard Brenner

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