Modeling and Analysis of Modern Fluid Problems Mathematics in Science and Engineering Series

Langue : Anglais

Auteurs : Zheng Liancun, Zhang Xinxin

Couverture de l’ouvrage Modeling and Analysis of Modern Fluid Problems

Résumé
Sommaire
Lectorat
Biographie
Commentaire

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

Graduate students and 1^st year PhDs studying applied mathematics, mathematical aspects of fluid dynamics, and thermal science. The work will also appeal to a smaller number of mathematical-inclined engineers working in fluid dynamics.

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.

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