Applied Continuum Mechanics for Thermo-Fluids

✍ Scribed by Jafar Ghazanfarian

• Publisher: CRC Press
• Year: 2024
• Tongue: English
• Leaves: 245
• Edition: 1
• Category: Library

✦ Synopsis

Applied Continuum Mechanics for Thermo-Fluids presents the tensor notation rules and integral theorems before defining the preliminary concepts and applications of continuum mechanics. It bridges the gap between physical concepts and mathematical expressions with a rigorous mathematical treatment. After discussing fundamental concepts of continuum mechanics, the text explains basic subjects such as the Stokes hypothesis, the second coefficient of viscosity, non-Newtonian fluids, non-symmetric stress tensor, and the full Navier-Stokes equation.

With coverage of interdisciplinary topics, the book highlights issues such as relativistic fluid mechanics, stochastic mechanics, fractional calculus, nanoscale fluid mechanics, polar fluids, electrodynamics, and traffic flows. It describes fundamental concepts of vorticity dynamics, including the definition of vorticity and circulation, with corresponding balance equations and related theorems.

This text is intended for upper-level undergraduate and postgraduate mechanical, chemical, aerospace, civil engineering, and physics students taking continuum mechanics, advanced fluid mechanics, convective heat transfer, turbulence, or any other similar courses. In addition, this book can be an excellent resource for scientists who want to initiate research on topics related to thermo-fluids.

Instructors will be able to utilize a Solutions Manual and Figure Slides for their courses.

The eBook+ version includes the following enhancements:

• Videos placed throughout the text containing further explanation of key topics
• Multiple-choice quizzes to reinforce readers' understanding of physical concepts

✦ 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