Heat conduction

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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.

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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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