Introduction to Interactive Boundary Layer Theory

by I. J. Sobey

Overview

One of the major achievements in fluid mechanics in the last quarter of the twentieth century has been the development of an asymptotic description of perturbations to boundary layers known generally as 'triple deck theory'. These developments have had a major impact on our understanding of laminar fluid flow, particularly laminar separation. It is also true that the theory rests on three quarters of a century of development of boundary layer theory which involves analysis, experimentation and computation. All these parts go together, and to understand the triple deck it is necessary to understand which problems the triple deck resolves and which computational techniques have been applied. This book presents a unified account of the development of laminar boundary layer theory as a historical study together with a description of the application of the ideas of triple deck theory to flow past a plate, to separation from a cylinder and to flow in channels. The book is intended to provide a graduate level teaching resource as well as a mathematically oriented account for a general reader in applied mathematics, engineering, physics or scientific computation.

Product Details

ISBN-13:	9780198506751
Publisher:	Oxford University Press
Publication date:	02/15/2001
Series:	Oxford Texts in Applied and Engineering Mathematics , #3
Edition description:	New Edition
Pages:	346
Product dimensions:	9.46(w) x 6.52(h) x 0.90(d)

About the Author

St John's College, Oxford

Table of Contents

1. Mathematical and Fluid Mechanical IntroductionI. THE TRIPLE DECK2. The Boundary Layer on a Flat Plate3. The Triple Deck4. Numerical Solution of Triple Deck EquationsII. SEPARATION5. Introduction to Separation6. Separated Flow about a Cylinder7. Prediction of Separation from a CylinderIII. CHANNEL FLOW8. Introduction to Channel Flow9. Upstream Influence10. Coanda EffectAppendix A. Problems and Computer ProgramsBibliographyAuthor IndexSubject Index

Editorial Reviews

"Sobey's Introduction to Interactive Boundary Layer Theory focuses predominately on classical analytical methods for analysing laminar boundary0layer flows, which are of relevance to flows around slender and bluff bodies. . .This is the first graduate text to cover moment-based closure approached alongside large eddy simulation and probability density function methods. These approaches are increasingly important, so the section on methods based on density functions would alone justify this fine book. The lucid an up-to-date discussion — which would appeal to researchers and engineers alike."—New Scientist

"This book has all the potential to become a popular choice or graduate teaching."—Mathematical Reviews

From the Publisher

This graduate-level text draws together basic boundary layer theory, which has proven to be a remarkable advance in theoretical fluid mechanics but which has been scattered through the literature and so can be hard to follow. The text provides an overview of the subject, with an emphasis on the theory's historical development. It's divided into three sections: early general ideas, the application of matched asymptotic analysis techniques, and modern "triple-deck" structures of the Navier-Stokes equations. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Booknews