Modeling and Analysis of Modern Fluid Problems

Nonfiction, Science & Nature, Science, Physics, Mechanics
Cover of the book Modeling and Analysis of Modern Fluid Problems by Liancun Zheng, Xinxin Zhang, Elsevier Science
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Author: Liancun Zheng, Xinxin Zhang ISBN: 9780128117590
Publisher: Elsevier Science Publication: April 26, 2017
Imprint: Academic Press Language: English
Author: Liancun Zheng, Xinxin Zhang
ISBN: 9780128117590
Publisher: Elsevier Science
Publication: April 26, 2017
Imprint: Academic Press
Language: English

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
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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.

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