Nonlinear Systems in Heat Transfer

Nonlinear Systems in Heat Transfer

Mathematical Modeling and Analytical Methods

1st Edition - September 15, 2017

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  • Authors: Davood Ganji, Yaser Sabzehmeidani, Amin Sedighiamiri
  • eBook ISBN: 9780128120200
  • Paperback ISBN: 9780128120248

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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.

Key Features

  • 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


Engineers and researchers in nonlinear differential equations and analytical methods in nonlinear engineering problems. Design and research engineers, PhD students, and researchers in engineering and applied sciences

Table of Contents

  • Chapter 1: An introduction to analytical methods for solving nonlinear problems

    • Perturbation Method (PM)

    • Homotopy-Perturbation Method (HPM)

    • Variational-Iteration Method (VIM)

    • Parameterized Perturbation Method (PPM)


    Chapter 2 : Convection in Heat Transfer

    • Lumped System

    • Boundary Layer Flow

    • Unsteady Nonlinear Equations


    Chapter 3 : Heat Diffusion

    • Nonlinear equations


    Chapter 4 : Heat Radiation

    • Epidemic Model

    • Porous Media Equations


    Chapter 5 : Heat Conduction

    • Cubic Nonlinearity

    • Unsteady Nonlinear Equations


    Chapter 6 : Review of Fin problems

    • Fin Radiation

    • Rectangular Fin

    • Temperature Distribution

    • Efficiency of Fins


    Chapter 7 : Non-Newtonian Fluids

    • Axisymmetric Channel

Product details

  • No. of pages: 288
  • Language: English
  • Copyright: © Elsevier Science 2017
  • Published: September 15, 2017
  • Imprint: Elsevier Science
  • eBook ISBN: 9780128120200
  • Paperback ISBN: 9780128120248

About the Authors

Davood Ganji

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. His research interests are Finite Difference Method, Finite Volume Method, Inverse problem, Fluid mechanics, Aerodynamics, Analysis Differential Equation (P.D.E), Spray Modeling and Analytical techniques in Nonlinear Dynamics.

Affiliations and Expertise

Department of Mechanical Engineering, Noshirvani University of Technology, Iran

Yaser Sabzehmeidani

Graduated as PhD in Mchanical Engineering from Universiti Teknologi Malaysia (UTM), where he worked on intelligent control of in-pipe application of micro-robot actuated by voice-coil actuators. His research interests are solving nonlinear mechanical problems, intelligent control methods and analyzing diferential and partial differential equations in engineering problems. He has several publications in peer-reviewed journals and conference publications in these areas.

Amin Sedighiamiri

Holds a PhD degree in Mechanical Engineering from Eindhoven University of Technology in the Netherlands, during which he focused on establishing a mathematical model between microstructure of semicrystalline polymers and their mechanical properties. His areas of interest are mathematical modeling, nonlinear systems in engineering problems, analytical and numerical analysis of nonlinear differential and partial differential equations, heat transfer, modeling and simulation, finite element analysis and computer-aided engineering. He has several publications in various peer-reviewed journals and several conference presentations. He served as reviewer for different journals and is an editor of the International Journal of Nonlinear Dynamics in Engineering and Sciences (IJNDES).

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