LAMINAR FLOW ANALYSIS
David F. Rogers
Cambridge University Press, 1992, ISBN 0-521-41152-1, 422 pages
The major thrust of this book is to present a technique of
analysis that aids the formulation, understanding, and solution
of problems in viscous flow. The intent is to avoid providing a
"canned" program to solve a problem, offering instead a way to
recognize the underlying physical, mathematical, and modeling
concepts inherent in the solutions. The reader must first choose
a mathematical model and derive the governing equations based on
realistic assumptions, or become aware of the limitations and
assumptions associated with existing models. An appropriate
solution technique is then selected. The solution technique may
be either analytical or numerical. Computer-aided analysis
algorithms supplement the classical analyses.
The book begins by deriving the Navier-Stokes equations for a
viscous compressible variable property fluid. The second chapter
considers exact solutions of the incompressible Navier-Stokes
equations. Next, the boundary layer equations are derived and the
incompressible hydrodynamics boundary layer equations solved with
and without mass transfer at the wall. Forced convection, free
convection, and the compressible laminar boundary layer are
discussed in the remaining chapters. The text unifies the various
topics by tracing a logical progression from simple to complex
govering differential equations and boundary conditions.
Numerical, parametric and directed analysis problems are included
at the end of each chapter.
Click here for the detailed table of contents
Click here for a sample chapter (260k pdf file)
Click here for sample problems (119k pdf file)
WHAT THE REVIEWERS SAID
Professor A.D. Young, writing in the Aeronautical Journal, said "In this book an attempt has
been made to develop both the numerical and analytic skills for
dealing with laminar flows in a balanced way. On the whole the
author has succeeded...." He also commented "To sum up, this is
a scholarly book of constrained scope that can be read to
advantage by research students and young engineers."
E.E. Covert, writing in The Journal of Fluid Mechanics,
said "The discussion of difficulties associated with two-point
boundary conditions is clear and the examples useful. Rogers'
analysis of similarity conditions for compressible laminar
boundary layer equations is extensive..."
ABOUT THE AUTHOR:
David F. Rogers is Professor of Aerospace Engineering at the
U.S. Naval Academy with nearly 35 years of teaching experience.
He has written four
textbooks including Computer Aided Heat Transfer Analysis
(with J. Alan Adams), Procedural Elements for Computer
Mathematical Elements for Computer Graphics
(with J. Alan Adams) and edited several additional volumes. His books
have been translated into six languages. He has published
over 50 technical papers in aeronautics and computer graphics
Author's short biography.
TABLE OF CONTENTS
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Read as a pdf file (40k)
Exact Solutions of the Navier-Stokes Equations (260k pdf file)
Exact Solutions of the Navier-Stokes Equations (119k pdf file)
Order directly from the author at a special price.
BY THE SAME AUTHOR:
Procedural Elements for Computer Graphics, 2nd Edition
The revision of the first edition of this classical text covers
raster scan graphics, clipping, visible line
and surface algorithms, and rendering
including illumination models transparency,
shadows, texture, ray tracing, radiosity,
color and color reproduction.
Mathematical Elements for Computer Graphics, 2nd Edition
by the same author and his long time colleague J. Alan Adams
covers topics in two- and three-dimensional transformations,
plane and space curves including cubic splines, parabolically
blended, Bezier and nonrational and rational B-spline curves.
A thorough introduction to surfaces of revolution, sweep surfaces,
bilinear, ruled, Coons, Bezier, B-spline and NURBS (rational
B-spline) surfaces is also included.