Modeling and Analysis of Modern Fluid Problems

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