Titlebook: Nonlinear Flow Phenomena and Homotopy Analysis; Fluid Flow and Heat Kuppalapalle Vajravelu,Robert A. Gorder Book 2012 Higher Education Pre

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Kuppalapalle Vajravelu,Robert A. van Gorderming to familiarize non-specialists with essential techniqueIn the more than 100 years since the fundamental group was first introduced by Henri Poincaré it has evolved to play an important role in different areas of mathematics. Originally conceived as part of algebraic topology, this essential con

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Kuppalapalle Vajravelu,Robert A. van Gorderming to familiarize non-specialists with essential techniqueIn the more than 100 years since the fundamental group was first introduced by Henri Poincaré it has evolved to play an important role in different areas of mathematics. Originally conceived as part of algebraic topology, this essential con

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Introduction,ich quantitative models are useful, we often wish to obtain solutions for nonlinear equations. In the field of differential equations, many results pertaining to linear differential equations are well known and have been in existence for quite a while. However, in the area of nonlinear differential

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Methods for the Control of Convergence in Obtained Solutions,the preceding chapter, in this method, one has great freedom to select auxiliary functions, operators, and parameters in order to ensure the convergence of the approximate solutions and to increase both the rate and region of convergence. In the present chapter, we discuss the selection of the initi

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Application of the Homotopy Analysis Method to Fluid Flow Problems,dern digital computers. In fact, at high Reynolds numbers (turbulent flow), the equations are impossible to solve with present mathematical techniques, because the boundary conditions become randomly time-dependent. Nevertheless, it is very instructive to present and discuss these fundamental equati

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recent and interesting applications in science and engineeri.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 w

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Application of the Homotopy Analysis Method to Fluid Flow Problems,ons because they give many insights, yield several particular solutions, and can be examined for modeling purposes. Also, these equations can then be simplified, using Prandtl boundary-layer approximations. The resulting simpler system is very practical and yields many fruitful engineering solutions.