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

Zheng, Liancun; Zhang, Xinxin

Softcover

ISBN 10: 0128117532 ISBN 13: 9780128117538

Publisher: Academic Press, 2017

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 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 this title

About the Authors

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.

From the Back Cover

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. 3D modeling and analysis are also covered in depth.

Edition details

• Publisher: Academic Press
• Publication date: 2017
• Language: English
• ISBN 10: 0128117532
• ISBN 13: 9780128117538
• Binding: Paperback
• Edition number: 1
• Number of pages: 480