You are here

Modeling and Analysis of Modern Fluid Problems

Liancun Zheng and Xinxin Zhang
Publisher: 
Academic Press
Publication Date: 
2017
Number of Pages: 
467
Format: 
Paperback
Series: 
Mathematics in Science and Engineering
Price: 
150.00
ISBN: 
9780128117538
Category: 
Monograph
We do not plan to review this book.

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