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.
ISBN: | 9780128117538 |
Publication date: | 27th April 2017 |
Author: | Liancun (University of Science and Technology, Beijing, China) Zheng, Xinxin (University of Science and Technology, Beij Zhang |
Publisher: | Academic Press Inc an imprint of Elsevier Science Publishing Co Inc |
Format: | Paperback |
Pagination: | 480 pages |
Series: | Mathematics in Science & Engineering |
Genres: |
Physics: Fluid mechanics |