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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.
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.
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. This book provides an account of
the main techniques of perturbation expansions applied to both
differential equations and integral expressions. Features include a
non-rigorous treatment of the subject at undergraduate level not
available in any other current text; contains computer programs to
enable the student to explore particular ideas and realistic case
studies of industrial applications; a number of practical examples
are included in the text to enhance understanding of points raised,
particularly in the areas of mechanics and fluid mechanics;
presents the main techniques of perturbation expansion at a level
accessible to the undergraduate student.
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