Nonlinear Flow Phenomena and Homotopy Analysis Fluid Flow and Heat Transfer /

• Main Authors: Vajravelu, Kuppalapalle (Author), Gorder, Robert A. van (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012.
• Subjects: Mathematics.; Differential equations.; Partial differential equations.; Computer mathematics.; Physics.; Fluid mechanics.; Computational Mathematics and Numerical Analysis.; Engineering Fluid Dynamics.; Theoretical, Mathematical and Computational Physics.; Computational Science and Engineering.; Ordinary Differential Equations.; Partial Differential Equations.

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 Homot...

Table of Contents:

• Part 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.