Microhydrodynamics and complex fluids
type: Item
instance of: scholarly article
zbMATH Open document ID: 1252.76001
author: D. Barthès-Biesel
publication date: 2012-06-11T00:00:00Z
Mathematics Subject Classification ID: 76-01
Mathematics Subject Classification ID: 76D07
Mathematics Subject Classification ID: 76T20
Mathematics Subject Classification ID: 76T10
Mathematics Subject Classification ID: 76A05
zbMATH DE Number: 6044791
zbMATH Keywords: thin fluid film
zbMATH Keywords: Stokes equation
zbMATH Keywords: lubrication
zbMATH Keywords: bubble
zbMATH Keywords: suspension
zbMATH Keywords: Oseen approximation
MaRDI profile type: Publication
title: Microhydrodynamics and complex fluids
review text: The central subject of this book for graduate students is the low Reynolds number flow in hydrodynamics. The text is divided into 11 chapters.NEWLINENEWLINEIn Chapter 1, the author deals with basic principles of hydrodynamics. The equations governing fluid flows have been introduced, together with numerical data about the viscosity of water. The dimensional analysis, which is the backbone of various approximations in this fascinating branch, has also been introduced here.NEWLINENEWLINEChapter 2 substantiates the requirement of small Reynolds and Stokes numbers. Steady-state Stokes equations have been explained and used to discuss a simple problem. The concepts of linearity, uniqueness, minimum energy dissipation have been included. The author demonstrates that the Stokes flow dissipates less energy than a general flow.NEWLINENEWLINEChapter 3 examines two-dimensional Stokes flows in Cartesian and cylindrical coordinates. These flows have been illustrated by the flow past a wedge. Particular cases of moving boundaries and large and small wedge angles have been included. The study of flows past wedges presents a mathematically rigorous analysis of a difficult problem for streamlined corners.NEWLINENEWLINEChapter 4 discusses applications to lubrication in mechanics, bio-mechanics and microfluidic networks. The lubrication hypothesis has been formulated by using dimensional and order-of-magnitude analyses. Two-dimensional and three-dimensional Reynolds equations are key concepts in lubrication theory. The author considers here applications to slider bearing, squeezing a drop, Hele-Shaw flow, microfluidic channels and porous media. The problems at the end of the chapter are very interesting.NEWLINENEWLINEIn Chapter 5, the concept of thin fluid films introduced in the previous chapter has been extended to films with free surface. The author examines the interfaces between two immiscible fluids, the gravity spreading of a fluid on a horizontal plane, and the stability of a …
reviewed by: S. C. Rajvanshi
description: scientific article; zbMATH DE number 6044791