Modeling And Analysis Of Modern Fluid Problems by Liancun Zheng

Modeling And Analysis Of Modern Fluid Problems

byLiancun Zheng, Xinxin Zhang

Paperback | April 27, 2017

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Modeling and Analysis of Modern Fluidshelps 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.



  • Systematically describes powerful approximation methods to solve nonlinear equations in fluid problems
  • Includes novel developments in fractional order differential equations with fractal theory applied to fluids
  • Features new methods, including Homotypy Approximation, embedded-parameter perturbation, and 3D models and analysis

About The Author

Liancun Zheng (University of Science and Technology, Beijing), is a Professor in Applied mathematics with interest in partial/ordinary differential equations, fractional differential equations, non-Newtonian fluids, viscoelastic fluids, micropolar fluids, nanofluids, heat and mass transfer, radioactive heat transfer, nonlinear boundary...

Details & Specs

Title:Modeling And Analysis Of Modern Fluid ProblemsFormat:PaperbackDimensions:480 pages, 8.75 × 6.35 × 0.68 inPublished:April 27, 2017Publisher:Academic PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0128117532

ISBN - 13:9780128117538

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Table of Contents

1. Introduction
2. Embedding-Parameters Perturbation Method
3. Adomian Decomposition Method
4. Homotopy Analytical Method
5. Differential Transform Method
6. Variational Iteration Method and Homotopy Perturbation Method
7. Exact Analytical Solutions for Fractional Viscoelastic Fluids
8. Numerical Methods