Perturbation Methods for Engineers and Scientists

ISBN-13: 9780849386084 / Angielski / Twarda / 1992 / 320 str.

Alan W. Bush

Opis

The subject of perturbation expansions is a powerful analytical technique which can be applied to problems which are too complex to have an exact solution - for example, calculating the drag of an aircraft in flight. These techniques can be used in place of complicated numerical solutions. In some areas such as boundary layers it provides the essential ideas of scaling of regions of rapid change which must be understood before an appropriate discretization can be constructed. The book is aimed at students in applied mathematics, engineering, industrial mathematics, fluid mechanics and computational mechanics.

Perturbation Methods for Engineers and Scientists examines the main techniques of perturbation expansions applied to both differential equations and integral expressions. It describes several fluid dynamics applications, including aerofoils, boundary layers in momentum heat, and mass transfer. In addition, it applies the multiple scale technique to the description of surface roughness effects in lubrication. The book's intuitive, rather than formal, approach enables these advanced techniques to be used by scientists and engineers as well as by students.

Spis treści

Introduction to Perturbation Expansions
Asymptotics
Strained Co-ordinates
Multiple Scales
Boundary Layers
The Dominant Balance and WKB Methods
The Asymptotic Approximation of Integrals
References and Bibliography

O autorze

Bush, Alan W.