Title 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

Published Amsterdam : Elsevier, [2017] ©2018

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Description 1 online resource : illustrations Contents Front Cover -- Nonlinear Systems in Heat Transfer -- Copyright Page -- Contents -- List of Figures -- List of Tables -- 1 Introduction to Nonlinear Systems and Solution Methods -- 1.1 Nonlinear Differential Equations in Science and Technology -- 1.2 Analytical Methods for Nonlinear Equations -- 1.2.1 Homotopy Perturbation Method -- 1.2.1.1 Illustrative Example -- 1.2.2 Variational Iteration Method -- 1.2.2.1 Illustrative Example -- 1.2.3 Adomian Decomposition Method -- 1.2.3.1 Illustrative Example -- References -- 2 Conduction-Convection Heat Transfer -- 2.1 Introduction to Heat Transfer -- 2.2 Heat Conduction -- 2.3 Heat Convection -- 2.4 Nonlinear Conduction-Convection Heat Transfer Problems -- 2.4.1 Cooling of a Lumped System with Variable Specific Heat -- 2.4.1.1 Variational Iteration Method (VIM) -- 2.4.1.2 Homotopy Perturbation Method (HPM) -- 2.4.1.3 Conventional Perturbation Method -- 2.4.1.4 Results and Discussion -- 2.4.2 Cooling of a Lumped System with Variable Heat Transfer Coefficient -- 2.4.2.1 Variational Iteration Method (VIM) -- 2.4.2.2 Homotopy Perturbation Method (HPM) -- 2.4.2.3 Results and Discussion -- 2.4.3 Heat Conduction in a Slab with Variable Thermal Conductivity -- 2.4.4 Forced Convection Over a Horizontal Flat Plate -- 2.4.5 Porous Media Equation -- 2.4.5.1 Variational Iteration Method (VIM) -- 2.4.5.2 Homotopy Perturbation Method (HPM) -- 2.4.6 Nonlinear Heat Equation with Cubic Nonlinearity -- 2.4.6.1 Variational Iteration Method (VIM) -- 2.4.6.2 Homotopy Perturbation Method (HPM) -- 2.4.7 Temperature Distribution in a Straight Fin -- 2.4.7.1 Variational Iteration Method (VIM) -- 2.4.7.2 Homotopy Perturbation Method (HPM) -- 2.4.7.3 Results and Discussion -- 2.4.8 Rectangular Purely Convective Fin with Temperature-Dependent Thermal Conductivity -- 2.4.8.1 Variational Iteration Method (VIM) 2.4.8.2 Homotopy Perturbation Method (HPM) -- 2.4.8.3 Perturbation Method (PM) -- 2.4.8.4 Fin Efficiency -- 2.4.8.5 Results and Discussion -- 2.5 Conclusion -- References -- 3 Radiation Heat Transfer -- 3.1 Heat Transfer by Thermal Radiation -- 3.2 Nonlinear Heat Transfer Problems with Thermal Radiation -- 3.2.1 Cooling of a Lumped System by Combined Convection and Radiation -- 3.2.1.1 Variational Iteration Method (VIM) -- 3.2.1.2 Homotopy Perturbation Method (HPM) -- 3.2.1.3 Conventional Perturbation Method -- 3.3 Results and Discussion -- 3.3.1 Convective-Radiating Cooling of a Lumped System with Variable Specific Heat -- 3.3.1.1 Variational Iteration Method (VIM) -- 3.3.1.2 Homotopy Perturbation Method (HPM) -- 3.3.1.3 Conventional Perturbation Method -- 3.3.1.4 Results and Discussion -- 3.3.2 Temperature Distribution in a Radiating Thick Rectangular Plate -- 3.3.2.1 Variational Iteration Method (VIM) -- 3.3.2.2 Results and Discussion -- 3.3.3 Temperature Distribution in a Radiating Thick Rectangular Plate -- 3.3.3.1 Variational Iteration Method (VIM) -- 3.3.3.2 Fin Efficiency -- 3.3.3.3 Homotopy Perturbation Method -- 3.3.3.4 Results and Discussion -- 3.4 Conclusion -- References -- Further Reading -- 4 Heat Transfer in Nanofluids -- 4.1 Application of Nanofluids in Heat Transfer -- 4.2 Nonlinear Heat Transfer Problems in Nanofluids -- 4.2.1 Heat Transfer in Nanofluid Between Infinite Parallel Plates -- 4.2.1.1 Homotopy Perturbation Method (HPM) -- 4.2.1.2 Adomian Decomposition Method (ADM) -- 4.3 Results and Discussion -- 4.3.1 Heat Transfer in Two-Phase Unsteady Nanofluid Flow Between Infinite Parallel Plates in the Presence of Magnetic Field -- 4.3.1.1 Homotopy Perturbation Method (HPM) -- 4.3.1.2 Results and Discussion -- 4.3.2 Jeffery-Hamel Flow with High Magnetic Field and Nano Particle -- 4.4 Results and Discussion -- 4.5 Conclusion Summary Annotation 'Nonlinear Heat Transfer' 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 Bibliography Includes bibliographical references and index Notes Online resource; title from PDF title page (EBSCO, viewed September 27, 2017) Subject Heat -- Transmission. Heat -- Transmission -- Mathematical models heat transmission. SCIENCE -- Mechanics -- Thermodynamics. Heat -- Transmission Heat -- Transmission -- Mathematical models Form Electronic book Author Sabzehmeidani, Yaser, author Sedighiamiri, Amin, author ISBN 9780128120200 0128120207

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