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Unformatted text preview: Chapter 1 Basics of Heat Transfer Heat Transfer Mechanisms 144C The thermal conductivity of a material is the rate of heat transfer through a unit thickness of the material per unit area and per unit temperature difference. The thermal conductivity of a material is a measure of how fast heat will be conducted in that material. 145C The mechanisms of heat transfer are conduction, convection and radiation. Conduction is the transfer of energy from the more energetic particles of a substance to the adjacent less energetic ones as a result of interactions between the particles. Convection is the mode of energy transfer between a solid surface and the adjacent liquid or gas which is in motion, and it involves combined effects of conduction and fluid motion. Radiation is energy emitted by matter in the form of electromagnetic waves (or photons) as a result of the changes in the electronic configurations of the atoms or molecules. 146C In solids, conduction is due to the combination of the vibrations of the molecules in a lattice and the energy transport by free electrons. In gases and liquids, it is due to the collisions of the molecules during their random motion. 147C The parameters that effect the rate of heat conduction through a windowless wall are the geometry and surface area of wall, its thickness, the material of the wall, and the temperature difference across the wall. 148C Conduction is expressed by Fourier's law of conduction as Q kA dT dx cond =  where dT/dx is the temperature gradient, k is the thermal conductivity, and A is the area which is normal to the direction of heat transfer. Convection is expressed by Newton's law of cooling as ) ( ∞ = T T hA Q s s conv where h is the convection heat transfer coefficient, A s is the surface area through which convection heat transfer takes place, T s is the surface temperature and T ∞ is the temperature of the fluid sufficiently far from the surface. Radiation is expressed by StefanBoltzman law as ) ( 4 4 surr s s rad T T A Q = εσ where ε is the emissivity of surface, A s is the surface area, T s is the surface temperature, T surr is average surrounding surface temperature and σ = × 567 10 8 . W / m .K 2 4 is the StefanBoltzman constant. 149C Convection involves fluid motion, conduction does not. In a solid we can have only conduction. 150C No. It is purely by radiation. 151C In forced convection the fluid is forced to move by external means such as a fan, pump, or the wind. The fluid motion in natural convection is due to buoyancy effects only. 152C Emissivity is the ratio of the radiation emitted by a surface to the radiation emitted by a blackbody at the same temperature. Absorptivity is the fraction of radiation incident on a surface that is absorbed by the surface. The Kirchhoff's law of radiation states that the emissivity and the absorptivity of a surface are equal at the same temperature and wavelength....
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This homework help was uploaded on 03/19/2008 for the course ME 410 taught by Professor Benard during the Spring '08 term at Michigan State University.
 Spring '08
 BENARD
 Heat Transfer

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