By M Beran
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Extra resources for Statistical Continuum Theories
Example text
The overall heat transfer coefficient determined by calibration test is, UAch ¼ Qch, c ; ðT1 À Tch Þ ð4:2Þ where Qch,c is the sensible heat added to the chamber during calibration, and T1 and Tch are the average exterior and interior air temperatures respectively. 2 Characterization of the Test Chamber 49 heat is estimated by the input power, P, and heat pumping efficiency of the thermoelectric module, ηTE, Qcp ¼ P Á ηTE : ð4:3Þ Heat addition by the humidifier is calculated by the change in air enthalpy across the device, Qhu ¼ V_ a ρa ðia, o À ia, i Þ; ð4:4Þ where V_ a is the volumetric flow rate, ρa is the average density, and ia,o and ia,i are the outlet and inlet moist air enthalpies respectively.
1 shows a plain half fin, which represents a single fin of a common evaporator. The fin is attached to a continuous base where heating is applied. The fin has a length L and a half-thickness w. A frost layer of thickness δ is bonded to the fin surface. The frost is constructed of interlacing ice crystals with internal air pockets and has a bulk porosity ε. There is some debate within the literature whether porosity varies within the frost layer, and our model is constructed such that effects of either a constant or variable porosity can be evaluated.
An effective diffusion coefficient, Dv,eff, can describe the diffusion in a porous frost structure (Na 2003), 00 mv ¼ ÀDv, eff ∂ρv : ∂y ð3:5Þ Generally it is assumed that the water vapor within the pores is saturated at the local frost interface temperature. 5) becomes, ∂ pv : ∂y RT 00 mv ¼ ÀDv, eff ð3:6Þ With local thermal equilibrium (Wiederhold 1997), the vapor pressure and can be determined by, i À Á h pv ¼ 6:1115 1:003 þ 4:18 Â 10À6 pt exp 22:452 T=272:55þT ð3:7Þ The effective diffusion coefficient is related to the bulk diffusion coefficient by the bulk porosity and tortuosity, Dv,eff/εDv, which describes the path through the porous structure.