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Nonlinear systems in heat transfer : mathematical modeling and analytical methods

Author: Davood Domairry Ganji; Yaser Sabzehmeidani; Amin Sedighiamiri
Publisher: Amsterdam : Elsevier, [2017] ©2018
Edition/Format:   eBook : Document : EnglishView all editions and formats
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Davood Domairry Ganji; Yaser Sabzehmeidani; Amin Sedighiamiri
ISBN: 9780128120200 0128120207
OCLC Number: 1004271361
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 Convection2.4 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 Plate2.4.5 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 Heat3.3.1.1 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
Responsibility: 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.

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