» » Low Reynolds number hydrodynamics: with special applications to particulate media (Mechanics of Fluids and Transport Processes)

Download Low Reynolds number hydrodynamics: with special applications to particulate media (Mechanics of Fluids and Transport Processes) epub

by John Happel

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.
Download Low Reynolds number hydrodynamics: with special applications to particulate media (Mechanics of Fluids and Transport Processes) epub
ISBN: 9024728770
ISBN13: 978-9024728770
Category: Engineering
Subcategory: Engineering
Author: John Happel
Language: English
Publisher: Springer; 1983 edition (September 30, 1983)
Pages: 553 pages
ePUB size: 1208 kb
FB2 size: 1536 kb
Rating: 4.5
Votes: 403
Other Formats: doc txt azw mbr

This book describes how to set up and solve the equations describing slow motion in viscous fluids. It covers a wide range of problems, but limited to simple geometries that allow analytic solutions. Readers should be familiar with differential equations and special functions in various coordinate systems. A long appendix helpfully summarizes the coordinate system notation used in the book. More diagrams would help readers better visualize the solutions presented. If you're looking for a more descriptive technical discussion of viscous flow, consider Dusenbery's "Living at Micro Scale".
Low Reynolds Number Hydrodynamics by Happel and Brenner is one of the most useful texts ever written (in the field of the same name), and is essential reading for everyone working in this area. This includes researchers studying motion of colloidal particles say during sedimentation or through NEMS devices, cell motility and motion of bacteria, microfluidics, microrheology of complex fluids, etc. The book first introduces the required concepts of Fluid Mechanics, and proceeds to detail the theorems and derivations of how Navier Stokes equation is simplified into creeping flow equations, the hydrodynamics of single particles of different shapes and sizes moving in unbounded fluid, the hydrodynamic interaction during motion of assembly of particles, the all effect and ends with a discussion of viscosity of particulate media.

The book contains a wealth of knowledge regarding the hydrodynamics of particulate media, and progressively introduces the effect on dynamics of the particles. It is very instrustive in the sense, that first the single particle dynamics is discussed. Then the effects of shapes and sizes are detailed. Next level of complexity is built in by looking at interaction between two spherical particles moving through a fluid. Then anisotropic bodies are discussed. The effect of walls, boundaries and multi-particles comes in next. A basic understanding of Fluid Mechanics (say of the order of Transport Phenomenon by Bird, Stewart and Lightfoot) is enough to get one started on discovering the beautiful word of Low Re Hydrodynamics.

However, the text was written and revised two-three decades back, and hence is a bit dated with respect to the range of applications covered and the cited references. There are several texts available to supplement this one say for looking at cell motility or colloidal dynamics or sedimentation of particles, etc. Also effects of Brownian Motion are excluded, which require studying additional texts. Nevertheless, the book is an exceedingly useful reference (too pricey to own) and will be useful for all the above mentioned fields (and for pedagogic reasons)!