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OverviewSince most of the problems arising in science and engineering are nonlinear, they are inherently difficult to solve. Traditional analytical approximations are valid only for weakly nonlinear problems and often fail when used for problems with strong nonlinearity. “Nonlinear Flow Phenomena and Homotopy Analysis: Fluid Flow and Heat Transfer” presents the current theoretical developments of the analytical method of homotopy analysis. This book not only addresses the theoretical framework for the method, but also gives a number of examples of nonlinear problems that have been solved by means of the homotopy analysis method. The particular focus lies on fluid flow problems governed by nonlinear differential equations. This book is intended for researchers in applied mathematics, physics, mechanics and engineering. Both Kuppalapalle Vajravelu and Robert A. Van Gorder work at the University of Central Florida, USA. Full Product DetailsAuthor: Kuppalapalle Vajravelu , Robert A. Van GorderPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: 2012 ed. Dimensions: Width: 15.50cm , Height: 1.30cm , Length: 23.50cm Weight: 0.320kg ISBN: 9783642541766ISBN 10: 3642541763 Pages: 190 Publication Date: 28 February 2014 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsPart I: Theoretical Considerations.- Principles of the Homotopy Analysis Method.- Methods for the Control of Convergence in Obtained Solutions.- Additional Techniques. Part II: Applications to Physical Problems.- Application of the Homotopy Analysis Method to Fluid Flow Problems.- Application of the Homotopy Analysis Method to Heat Transfer Problems.- Application of the Homotopy Analysis Method to More Advanced Problems.ReviewsFrom the reviews: The book is devoted to the presentation of the homotopy analysis method (HAM) applied to the resolution of nonlinear differential equations. ... The book will be useful for researchers or engineers which are faced to the resolution of nonlinear differential equations. Besides the presentation of the HAM, the description of the application of this powerful method to the many examples contained in the book will help them when they will try to apply this tool to their own problems. (Alain Brillard, zbMATH, Vol. 1277, 2014) From the reviews: This book has many facets: the Homotopy Analysis Method (HAM) is applied to various fluid flow problems, but it also includes some theory, useful mini-summaries of previous research, nice physical interpretations, lots of graphs, and much hyperbole. ... The book gives a readable introduction. ... In summary, this book is a useful basic introduction to the Homotopy Analysis Method, especially for those with a fluid mechanics background. (Anthony John Roberts, Mathematical Reviews, March, 2014) The book is devoted to the presentation of the homotopy analysis method (HAM) applied to the resolution of nonlinear differential equations. ... The book will be useful for researchers or engineers which are faced to the resolution of nonlinear differential equations. Besides the presentation of the HAM, the description of the application of this powerful method to the many examples contained in the book will help them when they will try to apply this tool to their own problems. (Alain Brillard, zbMATH, Vol. 1277, 2014) Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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