ANALYTICAL METHODS IN FLUID MECHANICS

Analytical and Perturbation methods in Fluid Mechanics. Perturbation parameter, rational and irrational approximation. Gauge functions. Asymptotic Expansions. Regular and singular perturbations. Singular perturbations expansions. The method of Strained Coordinates. Lighthill’s and Pritulo’s method. Martin’s approximation. Matched asymptotic expansions method. Viscous flow at high Reynolds number. Viscous flow at low Reynolds number. Special topics of perturbation theory. Applications in Fluid Mechanics and Heat Transfer.

 

BIBLIOGRAPHY

 

  1. Perturbation Methods in Fluid Mechanics, Milton Van Dyke, Parabolic Press, 1995

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  2. Perturbation Methods in Heat Transfer, A. Aziz and T. Y. Na, Springer-Verlang, 1984.

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  3. Introduction to Perturbation Techniques, A. H. Nayfeh, John Wiley & Sons, Inc. 1981.