Nonlinear Systems in Heat Transfer: Mathematical Modeling and Analytical Methods

By Davood Domairry Ganji, Yaser Sabzehmeidani and Amin Sedighiamiri

Nonlinear Heat Transfer: Mathematical Modeling and Analytical Methods addresses recent progress and original research in nonlinear science and its application in the area of heat transfer, with a particular focus on the most important advances and challenging applications. The importance of understanding analytical methods for solving linear and nonlinear constitutive equations is essential in studying engineering problems.

This book provides a comprehensive range of (partial) differential equations, applied in the field of heat transfer, tackling a comprehensive range of nonlinear mathematical problems in heat radiation, heat conduction, heat convection, heat diffusion and non-Newtonian fluid systems. Providing various innovative analytical techniques and their practical application in nonlinear engineering problems is the unique point of this book. Drawing a balance between theory and practice, the different chapters of the book focus not only on the broader linear and nonlinear problems, but also applied examples of practical solutions by the outlined methodologies.

• Demonstrates applied mathematical techniques in the engineering applications, especially in nonlinear phenomena
• Exhibits a complete understanding of analytical methods and nonlinear differential equations in heat transfer
• Provides the tools to model and interpret applicable methods in heat transfer processes or systems to solve related complexities

• Language: English
• Publisher: Elsevier Science
• Release date: Sep 15, 2017
• ISBN: 9780128120200

Davood Domairry Ganji

D. D. Ganji is a Professor of Mechanical Engineering and the Director of the Graduate Program at Babol Noshirvani University of Technology in Iran, as well as a consultant in nonlinear dynamics and the Dean of the National Elite Foundation of Iran. He has a Ph.D. in Mechanical Engineering from Tarbiat Modarres University. He is the Editor-in-Chief of International Journal of Nonlinear Dynamic and Engineering Science, and Editor of International Journal of Nonlinear Sciences and Numerical Simulation and International Journal of Differential Equations.

Book preview

Nonlinear Systems in Heat Transfer

Mathematical Modeling and Analytical Methods

Authored by

Davood Domairry Ganji

Department of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, Iran

Yaser Sabzehmeidani

School of Engineering, Taylor‘s University, Subang, Malaysia

Amin Sedighiamiri

Department of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, Iran

Table of Contents

Cover image

Title page

Copyright

List of Figures

List of Tables

Chapter 1. Introduction to Nonlinear Systems and Solution Methods

Abstract

1.1 Nonlinear Differential Equations in Science and Technology

1.2 Analytical Methods for Nonlinear Equations

References

Chapter 2. Conduction–Convection Heat Transfer

Abstract

2.1 Introduction to Heat Transfer

2.2 Heat Conduction

2.3 Heat Convection

2.4 Nonlinear Conduction–Convection Heat Transfer Problems

2.5 Conclusion

References

Chapter 3. Radiation Heat Transfer

Abstract

3.1 Heat Transfer by Thermal Radiation

3.2 Nonlinear Heat Transfer Problems with Thermal Radiation

3.3 Results and Discussion

3.4 Conclusion

References

Further Reading

Chapter 4. Heat Transfer in Nanofluids

Abstract

4.1 Application of Nanofluids in Heat Transfer

4.2 Nonlinear Heat Transfer Problems in Nanofluids

4.3 Results and Discussion

4.4 Results and Discussion

4.5 Conclusion

References

Chapter 5. Miscellaneous Problems in Heat Transfer and Fluid Mechanics

Abstract

5.1 Introduction

5.2 Volume Flux and Average Velocity of Thin Film Flow

5.3 Laplace Equation Examples

5.4 The Partial Differential Model of Seepage Flow

5.5 The Fractional Partial Differential Model of Seepage Flow

5.6 Freezing of a Saturated Liquid of Semi-Infinite Extent

5.7 Conclusion

References

Index

Copyright

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ISBN: 978-0-12-812024-8

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List of Figures