Nonlinear Flow Phenomena and Homotopy Analysis

Fluid Flow and Heat Transfer

Authors: Vajravelu, Kuppalapalle, Van Gorder, Robert A.

  • A powerful analytical method for strongly nonlinear differential equations
  • Latest developments in theory and applications
  • Varieties of very recent and interesting applications in science and engineering
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eBook $79.99
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  • ISBN 978-3-642-32102-3
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Hardcover $109.00
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  • ISBN 978-3-642-32101-6
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  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
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  • ISBN 978-3-642-54176-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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About this book

Since 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.

Reviews

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)


Table of contents (6 chapters)

  • Introduction

    Vajravelu, Kuppalapalle (et al.)

    Pages 1-5

  • Principles of Homotopy Analysis

    Vajravelu, Kuppalapalle (et al.)

    Pages 7-52

  • Methods for the Control of Convergence in Obtained Solutions

    Vajravelu, Kuppalapalle (et al.)

    Pages 53-75

  • Additional Techniques

    Vajravelu, Kuppalapalle (et al.)

    Pages 77-100

  • Application of the Homotopy Analysis Method to Fluid Flow Problems

    Vajravelu, Kuppalapalle (et al.)

    Pages 101-155

Buy this book

eBook $79.99
price for USA (gross)
  • ISBN 978-3-642-32102-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-3-642-32101-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA
  • ISBN 978-3-642-54176-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Nonlinear Flow Phenomena and Homotopy Analysis
Book Subtitle
Fluid Flow and Heat Transfer
Authors
Copyright
2012
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Higher Education Press, Beijing and Springer-Verlag GmbH Berlin Heidelberg
Distribution Rights
Distribution rights in China: Higher Education Press
eBook ISBN
978-3-642-32102-3
DOI
10.1007/978-3-642-32102-3
Hardcover ISBN
978-3-642-32101-6
Softcover ISBN
978-3-642-54176-6
Edition Number
1
Number of Pages
XII, 190
Number of Illustrations and Tables
71 b/w illustrations
Additional Information
Jointly published with Higher Education Press, Beijing, China
Topics