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
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..."
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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