Modeling and Analysis of Modern Fluid Problems (Mathematics in Science and Engineering)

by Liancun Zheng (Author), Xinxin Zhang (Contributor)

New
Illustrated
2017
$117.05

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 Pade 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.

Synopsis

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 Pade 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.

$117.05

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More Information

Format: Illustrated
Pages: 480
Edition: Illustrated
Publisher: Academic Press
Published: 05 May 2017
ISBN 10: 0128117532
ISBN 13: 9780128117538
Book Overview: Combines abstract and applied modern methods for solving nonlinear applied partial differential equations in modern multi-dimensional fluid and heat transfer problems

Author Bio

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 value problems, and numerical heat transfer. He has published more than 260 papers in international journals and 5 books (in Chinese) and has served as Editor or Guest Editor of International Journals on 10 occasions. Xinxin Zhang is a Professor in the School of Engergy and Environmental Enginerring at the University of Science and Technology, Bejing.He is interested in thermal physical properties and thermal physics, mathematical modelling, system optimization and computer control, the numerical analysis of fluid flow, and heat transfer.