Heat conduction

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*<B>[[Unsteady tate Heat Conduction]]</B>
*<B>[[Unsteady tate Heat Conduction]]</B>
:[[Lumped analysis]], one-dimensional transient conduction in [[finite slabs]], [[cylinders]], [[spheres]], [[semi-infinite body]], and [[multi-dimensional conduction]].  
:[[Lumped analysis]], one-dimensional transient conduction in [[finite slabs]], [[cylinders]], [[spheres]], [[semi-infinite body]], and [[multi-dimensional conduction]].  
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*<B>[[Mass transfer]]</B>
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*<B>Numerical Solution</b>
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[[External forced convection]], [[internal forced convection]], and [[natural convection]].
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:[[Discretization]] of computational domain and governing equations, One-dimensional [[steady]] and [[unsteady]] state conduction, [[multi-dimensional unsteady-state conduction]], and [[solution of algebraic equations]]
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*<B>[[Mass transfer]]</B>
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:[[Mass diffusion]], and [[convective mass transfer]].
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*<b>[[Radiation]]</B>
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:[[Black body]],[[emissivity]] and [[absorptivity]], [[configuration factor]], [[radiation heat transfer in enclosure]], [[radiation with participating media]] and [[solar radiation]].
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4.2  309
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*<b>Melting and Solidification</b>
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4.2.1 One Dimensional Systems 309
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:[[Classification]] of solid-liquid phase change problem, [[boundary conditions at interface]], [[exact solution]],and numerical solution]].
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4.2.2 Multidimensional Systems 325
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4.3 Unsteady Heat Conduction 337
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*<b>Microscale heat conduction</b>
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4.3.1 Lumped Analysis 337
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:[[Hyperbolic model]], [[Dual-Phase Lag (DPL) model]], and [[Two-temperature models]].
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4.3.2 One Dimensional Transient Systems 339
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4.3.3 Multidimensional Transient Heat Conduction Systems 360
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4.4 Numerical Simulation of Heat Conduction Problems 364
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4.4.1 One-Dimensional Steady-State Conduction 365
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4.4.2 One-Dimensional Transient Conduction 369
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4.4.3 Multidimensional Transient Conduction 373
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4.5 Melting and Solidification 376
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4.5.1 Introduction 376
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4.5.2 Exact Solution 381
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4.5.3 Integral Approximate Solution 390
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4.5.4 Numerical Simulation 405
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4.6 Microscale Heat Conduction 416
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4.6.1 Extensions of Classic Model 416
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4.6.2 Two-Step Model 418
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4.6.3 Microscale Phase Change 421
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Revision as of 20:31, 8 April 2009

Conduction is heat transfer across a stationary medium, either solid or fluid. For an electrically nonconducting solid, conduction is attributed to atomic activity in the form of lattice vibration, while the mechanism of conduction in an electrically-conducting solid is a combination of lattice vibration and translational motion of electrons. Heat conduction in a liquid or gas is due to the random motion and interaction of the molecules. For most engineering problems, it is impractical and unnecessary to track the motion of individual molecules and electrons, which may instead be described using the macroscopic averaged temperature.

  • Fundamentals of Heat Conduction
Mechanism of heat conduction, Fourier's law and thermal conductivity.
finite slabs, hillow cylinders, hollow spheres, extended surface, bioheat equation, two-dimensional conduction, conduction from burried object
Lumped analysis, one-dimensional transient conduction in finite slabs, cylinders, spheres, semi-infinite body, and multi-dimensional conduction.
  • Numerical Solution
Discretization of computational domain and governing equations, One-dimensional steady and unsteady state conduction, multi-dimensional unsteady-state conduction, and solution of algebraic equations
  • Melting and Solidification
Classification of solid-liquid phase change problem, boundary conditions at interface, exact solution,and numerical solution]].
  • Microscale heat conduction
Hyperbolic model, Dual-Phase Lag (DPL) model, and Two-temperature models.