Heat Conduction

ISBN-10: 1591690463

ISBN-13: 9781591690467

Edition: 4th 2008 (Revised)

Authors: Sadik Kakac
List price: $188.95
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Book details

List price: $188.95
Edition: 4th
Copyright year: 2008
Publisher: CRC Press LLC
Publication date: 6/9/2008
Binding: Hardcover
Pages: 455
Size: 6.25" wide x 9.25" long x 1.00" tall
Weight: 1.628
Language: English

Foundations of Heat Transfer
Introductory Remarks
Modes of Heat Transfer
Continuum Concept
Some Definitions and Concepts of Thermodynamics
Law of Conservation of Mass
First Law of Thermodynamics
Second Law of Thermodynamics
Temperature Distribution
Fourier's Law of Heat Conduction
Thermal Conductivity
Newton's Cooling Law
Stefan-Boltzmann Law of Radiation
General Heat Conduction Equation
General Heat Conduction Equation
Initial and Boundary Conditions
Initial Condition
Boundary Conditions
Temperature-Dependent Thermal Conductivity and Kirchhoff Transformation
One-Dimensional Steady-State Heat Conduction
One-Dimensional Steady-State Heat Conduction without Heat Sources
Plane Wall
Conduction through a Plane Wall from One Fluid to Another
Hollow Cylinder
Spherical Shells
Thermal Resistance Concept
Composite Plane Walls
Cylindrical Composite Walls
Overall Heat Transfer Coefficient
Thermal Contact and Scale Resistances
Biot Number
Critical Thickness of Cylindrical Insulation
One-Dimensional Steady-State Heat Conduction with Heat Sources
Plane Wall
Solid Cylinder
Effect of Cladding
Temperature-Dependent Thermal Conductivity
Space-Dependent Internal Energy Generation
Extended Surfaces: Fins and Spines
Extended Surfaces with Constant Cross Sections
Rectangular Fin of Least Material
Performance Factors
Heat Transfer from a Finned Wall
Limit of Usefulness of Fins
Extended Surfaces with Variable Cross Sections
The Sturm-Liouville Theory and Fourier Expansions
Characteristic-Value Problems
Orthogonal Functions
Sturm-Liouville Problem
Generalized Fourier Series
Ordinary Fourier Series
Fourier Sine Series
Fourier Cosine Series
Complete Fourier Series
Fourier-Bessel Series
Steady-State Two- and Three-Dimensional Heat Conduction: Solutions with Separation of Variables
Two-Dimensional Steady-State Problems in the Rectangular Coordinate System
Nonhomogeneity in Boundary Conditions
Nonhomogeneity in Differential Equations
Two-Dimensional Steady-State Problems in the Cylindrical Coordinate Systems
Two-Dimensional Steady-State Problems in (r, [phi]) Variables
Steady-State Two-Dimensional Problems in (r, z) Variables
Two-Dimensional Steady-State Problems in the Spherical Coordinate Systems
Legendre Polynomials
Fourier-Legendre Series
Solid Sphere
Three-Dimensional Steady-State Systems
Heat Transfer Rates
Unsteady-State Heat Conduction: Solutions With Separation of Variables
Lumped-Heat-Capacity Systems
One-Dimensional Distributed Systems
Cooling (or Heating) of a Large Flat Plate
Cooling (or Heating) of a Long Solid Cylinder
Cooling (or Heating) of a Solid Sphere
Multidimensional Systems
Cooling (or Heating) of a Long Rectangular Bar
Cooling (or Heating) of a Parallelepiped and a Finite Cylinder
Semi-Infinite Body
Cooling (or Heating) of Semi-Infinite Bars, Cylinders, and Plates
Periodic Surface Temperature Change
Solutions with Integral Transforms
Finite Fourier Transforms
An Introductory Example
Fourier Transforms in the Semi-Infinite and Infinite Regions
Unsteady-State Heat Conduction in Rectangular Coordinates
A Semi-Infinite Rectangular Strip
Infinite Medium
Steady-State Two- and Three-Dimensional Problems in Rectangular Coordinates
Hankel Transforms
Problems in Cylindrical Coordinates
Problems in Spherical Coordinate
Observations on the Method
Solutions With Laplace Transforms
Definition of the Laplace Transform
Introductory Example
Some Important Properties of Laplace Transforms
The Inverse Laplace Transform
Method of Partial Fractions
Convolution Theorem
Laplace Transforms and Heat Conduction Problems
Plane Wall
Semi-Infinite Solid
Solid Cylinder
Solid Sphere
Heat Conduction With Local Heat Sources
The Delta Function
Plane Heat Source
Cylindrical and Spherical Shell Heat Sources
Slab with Distributed and Plane Heat Sources
Instantaneous Volumetric Heat Source
Plane Heat Source
Instantaneous Plane Heat Source
Long Solid Cylinder with Cylindrical Shell and Line Heat Sources
Cylindrical Shell Heat Source
Instantaneous Cylindrical Shell Heat Source
Line Heat Source
Instantaneous Line Heat Source
Solid Sphere with Spherical Shell and Point Heat Sources
Spherical Shell Heat Source
Instantaneous Spherical Shell Heat Source
Point Heat Source
Instantaneous Point Heat Source
Infinite Region with Line Heat Source
Continuous Heat Release
Instantaneous Line Heat Source
Infinite Region with Point Heat Source
Continuous Heat Release
Instantaneous Point Heat Source
Systems with Moving Heat Sources
Quasi-Steady State Condition
Moving Plane Heat Source in an Infinite Solid
Further Analytical Methods of Solution
Duhamel's Method
The Similarity Method
The Integral Method
Problems with Temperature-Dependent Thermal Conductivity
Nonlinear Boundary Conditions
Plane Wall
Problems with Cylindrical and Spherical Symmetry
Variational Formulation and Solution by the Ritz Method
Basics of Variational Calculus
Variational Formulation of Heat Conduction Problems
Approximate Solutions by the Ritz Method
Heat Conduction Involving Phase Change
Boundary Conditions at a Sharp Moving Interface
Continuity of Temperature at the Interface
Energy Balance at the Interface
A Single-Region Phase-Change Problem
Stefan's Exact Solution
Approximate Solution by the Integral Method
A Two-Region Phase-Change Problem
Neumann's Exact Solution
Solidification Due to a Line Heat Sink in a Large Medium
Solidification Due to a Point Heat Sink in a Large Medium
Similarity Solution for the Case of q[subscript pt](t) = Q[subscript 0]t[superscript 1/2]
Solutions by the Quasi-Steady Approximation
Melting of a Slab with Prescribed Surface Temperatures
Melting of a Slab with Imposed Surface Heat Flux
Melting of a Slab with Convection
Outward Melting of a Hollow Cylinder
Inward Melting of a Solid Sphere
Solidification of Binary Alloys
Equilibrium-Phase Diagram
Solidification of a Binary Alloy
Numerical Solutions
Finite-Difference Approximation of Derivatives
Finite-Difference Formulation of Steady-State Problems in Rectangular Coordinates
Finite-Difference Approximation of Boundary Conditions
Boundary Exchanging Heat by Convection with a Medium at a Prescribed Temperature
Insulated Boundary
Irregular Boundaries
Solution of Finite-Difference Equations
Relaxation Method
Matrix Inversion Method
Gaussian Elimination Method
Finite-Difference Formulation of One-Dimensional, Unsteady-State Problems in Rectangular Coordinates
Explicit Method
Implicit Method
Crank-Nicolson Method
Finite-Difference Formulation of Two-Dimensional, Unsteady-State Problems in Rectangular Coordinates
Finite-Difference Formulation of Problems in Cylindrical Coordinates
Errors in Finite-Difference Solutions
Convergence and Stability
Graphical Solutions
Thermophysical Properties
Bessel Functions
Error Function
Laplace Transforms
Exponential Integral Functions
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