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Modeling and Analysis of Modern Fluid Problems
Combines abstract and applied modern methods for solving nonlinear applied partial differential equations in modern multi-dimensional fluid and heat transfer problems
Liancun Zheng (Author), Xinxin Zhang (Author)
9780128117538
Paperback / softback, published 27 April 2017
480 pages
22.9 x 15.1 x 3 cm, 0.72 kg
Modeling and Analysis of Modern Fluids helps researchers solve physical problems observed in fluid dynamics and related fields, such as heat and mass transfer, boundary layer phenomena, and numerical heat transfer. These problems are characterized by nonlinearity and large system dimensionality, and ‘exact’ solutions are impossible to provide using the conventional mixture of theoretical and analytical analysis with purely numerical methods. To solve these complex problems, this work provides a toolkit of established and novel methods drawn from the literature across nonlinear approximation theory. It covers Padé approximation theory, embedded-parameters perturbation, Adomian decomposition, homotopy analysis, modified differential transformation, fractal theory, fractional calculus, fractional differential equations, as well as classical numerical techniques for solving nonlinear partial differential equations. In addition, 3D modeling and analysis are also covered in-depth.
1. Introduction2. Embedding-Parameters Perturbation Method3. Adomian Decomposition Method4. Homotopy Analytical Method5. Differential Transform Method6. Variational Iteration Method and Homotopy Perturbation Method7. Exact Analytical Solutions for Fractional Viscoelastic Fluids8. Numerical Methods
Subject Areas: Fluid mechanics [PHDF]
