
Modeling and Analysis of Modern Fluid Problems
Description
Key Features
- 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
Readership
Graduate students and 1st 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
Table of Contents
Chapter 1. Introduction
- 1.1. Basic Ideals of Analytical Methods
- 1.2. Review of Analytical Methods
- 1.3. Fractal Theory and Fractional Viscoelastic Fluid
- 1.4. Numerical Methods
- 1.5. Modeling and Analysis for Modern Fluid Problems
- 1.6. Outline
Chapter 2. Embedding-Parameters Perturbation Method
- 2.1. Basics of Perturbation Theory
- 2.2. Embedding-Parameter Perturbation
- 2.3. Marangoni Convection
- 2.4. Marangoni Convection in a Power Law Non-Newtonian Fluid
- 2.5. Marangoni Convection in Finite Thickness
- 2.6. Summary
Chapter 3. Adomian Decomposition Method
- 3.1. Introduction
- 3.2. Nonlinear Boundary Layer of Power Law Fluid
- 3.3. Power Law Magnetohydrodynamic Fluid Flow Over a Power Law Velocity Wall
- 3.4. Marangoni Convection Over a Vapor–Liquid Surface
- 3.5. Summary
Chapter 4. Homotopy Analytical Method
- 4.1. Introduction
- 4.2. Flow and Radiative Heat Transfer of Magnetohydrodynamic Fluid Over a Stretching Surface
- 4.3. Flow and Heat Transfer of Nanofluids Over a Rotating Disk
- 4.4. Mixed Convection in Power Law Fluids Over Moving Conveyor
- 4.5. Magnetohydrodynamic Thermosolutal Marangoni Convection in Power Law Fluid
- 4.6. Summary
Chapter 5. Differential Transform Method
- 5.1. Introduction
- 5.2. Magnetohydrodynamics Falkner–Skan Boundary Layer Flow Over Permeable Wall
- 5.3. Unsteady Magnetohydrodynamics Mixed Flow and Heat Transfer Along a Vertical Sheet
- 5.4. Magnetohydrodynamics Mixed Convective Heat Transfer With Thermal Radiation and Ohmic Heating
- 5.5. Magnetohydrodynamic Nanofluid Radiation Heat Transfer With Variable Heat Flux and Chemical Reaction
- 5.6. Summary
Chapter 6. Variational Iteration Method and Homotopy Perturbation Method
- 6.1. Review of Variational Iteration Method
- 6.2. Fractional Diffusion Problem
- 6.3. Fractional Advection-Diffusion Equation
- 6.4. Review of Homotopy Perturbation Method
- 6.5. Unsteady Flow and Heat Transfer of a Power Law Fluid Over a Stretching Surface
- 6.6. Summary
Chapter 7. Exact Analytical Solutions for Fractional Viscoelastic Fluids
- 7.1. Introduction
- 7.2. Fractional Maxwell Fluid Flow Due to Accelerating Plate
- 7.3. Helical Flows of Fractional Oldroyd-B Fluid in Porous Medium
- 7.4. Magnetohydrodynamic Flow and Heat Transfer of Generalized Burgers' Fluid
- 7.5. Slip Effects on Magnetohydrodynamic Flow of Fractional Oldroyd-B Fluid
- 7.6. The 3D Flow of Generalized Oldroyd-B Fluid
- 7.7. Summary
Chapter 8. Numerical Methods
- 8.1. Review of Numerical Methods
- 8.2. Heat Transfer of Power Law Fluid in a Tube With Different Flux Models
- 8.3. Heat Transfer of the Power Law Fluid Over a Rotating Disk
- 8.4. Maxwell Fluid With Modified Fractional Fourier's Law and Darcy's Law
- 8.5. Unsteady Natural Convection Heat Transfer of Fractional Maxwell Fluid
- 8.6. Fractional Convection Diffusion With Cattaneo–Christov Flux
- 8.7. Summary
Product details
- No. of pages: 480
- Language: English
- Copyright: © Academic Press 2017
- Published: April 26, 2017
- Imprint: Academic Press
- eBook ISBN: 9780128117590
- Paperback ISBN: 9780128117538
About the Authors
Liancun Zheng
Affiliations and Expertise
Xinxin Zhang
Affiliations and Expertise
Ratings and Reviews
Latest reviews
(Total rating for all reviews)
BotongLi Sun Sep 02 2018
A useful book for fluid dynamics
This book includes many useful method to caculate PDE in fluid dynamics and heat and mass transfer problem. It is useful for researchers, experts, and students in this relative fields.