Nonlinear systems in heat transfer : mathematical modeling and analytical methods /

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Ganji, Davood Domairry (Autor), Sabzehmeidani, Yaser (Autor), Sedighiamiri, Amin (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam : Elsevier, [2017]
Temas:
Heat > Transmission.
Heat > Transmission > Mathematical models.
Chaleur > Transmission.
Chaleur > Transmission > Mod�eles math�ematiques.
heat transmission.
SCIENCE > Mechanics > Thermodynamics.
Heat > Transmission
Heat > Transmission > Mathematical models
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.

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