Applied Continuum Mechanics for Thermo-Fluids

✍ Scribed by Jafar Ghazanfarian

• Publisher: CRC Press
• Year: 2024
• Tongue: English
• Leaves: 245
• Category: Library

✦ Table of Contents

Cover
Half Title
Title Page
Copyright Page
Dedication
Contents
Preface
About the Author
Chapter 1: Cartesian Tensor Formalism and Dyadic Algebra
1.1. Vector Algebra
1.2. Curvilinear Orthogonal Coordinates
1.3. Cartesian Tensor Calculus
1.4. Vector/Tensor Identities
1.5. Integral Theorems
1.6. Exercises
Chapter 2: Preliminary Concepts
2.1. What is Continuum Mechanics?
2.2. Fundamental Concepts
2.3. Types of Material
2.4. Lagrangian/Eulerian Mechanics
2.5. Exercises
Chapter 3: Newtonian and Non-Newtonian Fluids
3.1. The Strain-Rate Tensor
3.2. Conservation of Mass: The Continuity Equation
3.2.1. Stream Function vs. Potential Function
3.3. Constitutive Relations
3.3.1. The Stress Tensor
3.3.2. Non-Newtonian Fluids and Powders
Chapter 4: Navier–Stokes Equations
4.1. Conservation of Linear Momentum
4.1.1. The Navier–Stokes Equation in Primitive Variables
4.1.2. Alternative Forms
4.1.3. Limiting Cases
4.2. Conservation of Angular Momentum
4.3. Boundary Conditions
4.4. Solution Methods
4.4.1. Numerical Techniques
4.4.2. Analytical Methods
Chapter 5: Heat and Mass Transfer, the Second Law
5.1. Constitutive Relations
5.2. Conservation of Energy
5.2.1. Derivation of Fourier-Based Energy Equation
5.2.2. Alternative Forms
5.2.3. Remarks
5.3. The Second Law of Thermodynamics
5.3.1. Alternative Forms
5.4. Mass Transfer
5.4.1. Constitutive Relation
5.4.2. Mass Transport Equations
5.5. Conservation/Non-Conservation Forms of Laws
5.6. Dimensionless Form of Laws
5.6.1. Remarks
5.6.2. List of Dimensionless Numbers
5.7. A Review of Physical Aspects
Chapter 6: Complementary Topics
6.1. Linearized Thermoelasticity
6.2. Fundamentals of Electrodynamics
6.2.1. Maxwell’s Equations
6.2.2. Connections with Mechanical Sciences
6.3. Flow in Porous Media
6.4. Traffic Flow: Conservation of Vehicles
6.5. Polar Fluids
6.6. Turbulent Flow Modeling
6.6.1. Turbulent Mean Flow (RANS)
6.6.2. Filtered Equations (LES)
6.7. Biological Heat Transfer
6.8. Multiphase Flow Modeling
6.8.1. Classifications
6.8.2. Modeling Approaches
6.9. Micro/Nanoscale Mechanics
6.9.1. Gaseous Flows
6.9.2. Thermal Transport
6.9.3. Microscale Modeling
6.10. Non-Conventional Thermo-Fluid Mechanics
6.10.1. Fractional Mechanics
6.10.2. Stochastic Mechanics
6.10.3. Relativistic Fluid Mechanics
6.10.4. Other Aspects
Chapter 7: Balance of Vorticity/Circulation Equation
7.1. How to Measure Rotation
7.2. Vorticity Equation
7.2.1. Required Identities
7.2.2. Vorticity Equation
7.3. Circulation Equation
Bibliography
Index