Fundamentals of two-fluid dynamics. Part II: Lubricated transport, drops and miscible liquids
type: Item
instance of: scholarly article
title: Fundamentals of two-fluid dynamics. Part II: Lubricated transport, drops and miscible liquids
zbMATH Open document ID: 0784.76003
published in: Interdisciplinary Applied Mathematics
publication date: 1993-04-26T00:00:00Z
review text: Part II (with 306 illustrations, 30 in color) of the present treatise on the fundamentals of two-fluid dynamics by Joseph and Renardy deals with lubricated transport, drops and miscible liquids. The topics treated are arranged in six chapters: (V) introduction to lubricated pipelining, (VI) lubricated pipelining: linear stability analysis, (VII) core-annular flow in vertical pipes, (VIII) nonlinear stability of core-annular flow, (IX) vortex rings of one fluid in another in free fall, and (X) miscible liquids. Like Part I [see the foregoing entry], the book is impressive in its scholary approach. The most beautiful of the lubricated flows are the rollers discussed in chapter II of Part I, while the most useful of these flows are the water-lubricated pipelines which are investigated in chapters V through VIII of the second put. The last two chapters of the book are completely independent of the others. Chapter IX is a description of the immiscible vortex rings which develop in free fall. In chapter X the authors develop a new theory of binary mixtures of incompressible liquids based on the observation that the velocity of a fluid particle in such a mixture cannot be solenoidal when diffusion is active. It explores the idea that gradients of composition can induce direct stresses which will mimic the effects of a transient interfacial tension when the gradients are large. The book summarizes the research effects of the authors and their coworkes since the early 1980's. The beautiful color inserts in both parts deserve special mention. This reviewer considers the book to be without competition as a general reference for the fundamentals of two- fluid dynamics for many years to come. It requires a certain sophistication on the part of the readers for which the reader, however, is amply rewarded.
Mathematics Subject Classification ID: 76-02
Mathematics Subject Classification ID: 76T99
Mathematics Subject Classification ID: 76D08
Mathematics Subject Classification ID: 76E05
Mathematics Subject Classification ID: 76E30
zbMATH DE Number: 158466
zbMATH Keywords: lubricated pipelining
zbMATH Keywords: linear stability
zbMATH Keywords: core-annular flow
zbMATH Keywords: vertical pipes
zbMATH Keywords: nonlinear stability
zbMATH Keywords: vortex rings
author: D. D. Joseph
author: Y. Renardy
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 158466