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.
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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..."


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 Graphics and 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.

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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.

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