Heat conduction

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*<B>Fundamentals of Heat Conduction </B>
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*<B>[[Basics of heat conduction|Basics]] </B>
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:[[Mechanism of heat conduction]], [[Fourier's law]] and [[thermal conductivity]].
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*<B>[[Steady State Heat Conduction]]</B>
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*<B>[[Steady state heat conduction|Steady State Heat Conduction]]</B>
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:[[finite slabs]], [[hillow cylinders]], [[hollow spheres]], [[extended surface]], [[bioheat equation]], [[two-dimensional conduction]], [[conduction from burried object]]
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:[[One-dimensional steady-state heat conduction|One-dimensional heat conduction]], [[Steady-state heat conduction in plane and radial walls|plane and radial walls]], [[Heat conduction in extended surface|extended surface]], [[bioheat equation]], [[Steady-state two-dimensional conduction|two-dimensional heat conduction]], and [[heat conduction from buried object|conduction from buried object]].
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*<B>[[Unsteady tate Heat Conduction]]</B>
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:[[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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[[External forced convection]], [[internal forced convection]], and [[natural convection]].
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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>[[Unsteady state heat conduction|Unsteady State Heat Conduction]]</B>
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4.2.1 One Dimensional Systems 309
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:[[Lumped analysis]], [[one-dimensional transient heat conduction in finite slab|finite slabs]], [[One-dimensional transient heat conduction in cylinder|cylinders]], [[One-dimensional transient heat conduction in sphere|spheres]], [[One-dimensional transient heat conduction in semi-infinite body|semi-infinite body]], and [[Multidimensional transient heat conduction|multidimensional conduction]].  
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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>[[Numerical Solution of Heat Conduction]]</b>
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4.3.1 Lumped Analysis 337
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:[[Discretization]] of computational domain and governing equations, one-dimensional [[Numerical Solution of 1-D Steady Conduction|steady]] and [[Numerical Solution of 1-D Unsteady Conduction|unsteady]] state conduction, [[numerical solution of multi-dimensional unsteady-state conduction|multi-dimensional unsteady-state conduction]], and [[solution of algebraic equations]]
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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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*<b>[[Melting and Solidification|Melting and Solidification]]</b>
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4.4 Numerical Simulation of Heat Conduction Problems 364
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:[[Classification of Melting and Solidification|Classifications]], [[Boundary Conditions at Solid-Liquid Interface|boundary conditions at interface]],[[Exact Solutions of Melting and Solidification Problems|exact solutions]], [[Integral Approximate Solution of Melting and Solidification Problems|integral approximate solution]], [[Numerical Simulation of Melting and Solidification|numerical solution]], [[Solidification of a binary solution system|binary system]], and [[Melting and Solidification in Porous Media|melting and solidification in porous media]].  
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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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*<b>[[Microscale heat conduction|Microscale Heat Conduction]]</b>
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4.4.3 Multidimensional Transient Conduction 373
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:[[Hyperbolic model]], [[Dual-Phase Lag (DPL) model]], [[two-temperature models]], and [[ultrafast melting and solidification]].
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4.5 Melting and Solidification 376
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4.5.1 Introduction 376
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*<b>[[Related topics in heat conduction|Related Topics]]</b>
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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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Back to [[Heat and Mass Transfer]].<br>
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4.6 Microscale Heat Conduction 416
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Back to [[Main Page|'''T'''hermal-'''F'''luids'''P'''edia Main Page]].
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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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==References==
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4.6.3 Microscale Phase Change 421
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Faghri, A., Zhang, Y., and Howell, J. R., 2010, ''Advanced Heat and Mass Transfer'', Global Digital Press, Columbia, MO.
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==Further Reading==
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==External Links==

Current revision as of 13:59, 5 August 2010

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.

One-dimensional heat conduction, plane and radial walls, extended surface, bioheat equation, two-dimensional heat conduction, and conduction from buried object.
Lumped analysis, finite slabs, cylinders, spheres, semi-infinite body, and multidimensional conduction.
Discretization of computational domain and governing equations, one-dimensional steady and unsteady state conduction, multi-dimensional unsteady-state conduction, and solution of algebraic equations
Classifications, boundary conditions at interface,exact solutions, integral approximate solution, numerical solution, binary system, and melting and solidification in porous media.
Hyperbolic model, Dual-Phase Lag (DPL) model, two-temperature models, and ultrafast melting and solidification.


Back to Heat and Mass Transfer.
Back to Thermal-FluidsPedia Main Page.

References

Faghri, A., Zhang, Y., and Howell, J. R., 2010, Advanced Heat and Mass Transfer, Global Digital Press, Columbia, MO.

Further Reading

External Links