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Analytical modeling and numerical simulation of heat transfer in a skin evaporator
ID Lorbek, Luka (Author), ID Poredoš, Primož (Author), ID Kitanovski, Andrej (Author), ID Poredoš, Alojz (Author)

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Abstract
This paper presents a one-dimensional, steady-state, analytical and a two-dimensional, steady-state, numerical approach to describing heat transfer in the complex solid structure of a skin evaporator used in household refrigerators. Both models are based on a specific form of the energy equation (the heat diffusion equation), which is solved to obtain the temperature distributions and heat flows within the different parts of the structure. Heat transfer is limited by a number of thermal resistances, such as the inner plastic wall of the refrigerator, the aluminum plate, the foil, the tube of the evaporator, and the air gaps. The insulation that prevents heat flowing into the evaporator from the surroundings is also taken into consideration. A comparison of the models showed that the root-mean-square deviation of the calculated temperatures ranged from 0.34 K to 0.60 K and that the area-weighted discrepancy of the calculated heat flows was 4.6%. Experimental validation of the model showed that the calculated and measured evaporator capacities were within +/- 12%. This demonstrates that several simplifications to the analytical model can be made, so drastically reducing the complexity of modeling a skin evaporator's structure, while retaining sufficient accuracy. These simplifications include reducing the heat transfer to one-dimensional heat conduction in the individual parts of the structure, neglecting the heat flux through the aluminum-air-gap contact, and linearizing the aluminium foil.

Language:English
Keywords:skin evaporator, heat transfer, household refrigerator, analytical modelling, numerical simulation
Work type:Article (dk_c)
Typology:1.01 - Original Scientific Article
Organization:FS - Faculty of Mechanical Engineering
Year:2018
Publication status in journal:Published
Article version:Publisher's version of article
Number of pages:Str. 195-203
Numbering:Vol. 88
PID:20.500.12556/RUL-124220 This link opens in a new window
UDC:62-714:004.94(045)
ISSN on article:0140-7007
DOI:10.1016/j.ijrefrig.2018.01.012 This link opens in a new window
COBISS.SI-ID:15891227 This link opens in a new window
Note:
cevno-ploščni uparjalnik, prenos toplote, gospodinjski hladilnik, analitično modeliranje, numerična simulacija
Publication date in RUL:08.01.2021
Views:391
Downloads:282
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Record is a part of a journal

Title:International journal of refrigeration
Shortened title:Int. j. refrig.
Publisher:Elsevier Science
ISSN:0140-7007
COBISS.SI-ID:9140997 This link opens in a new window

Secondary language

Language:French
Title:Modélisation analytique et simulation numérique du transfert de chaleur dans un évaporateur à surface
Keywords:transfert de chaleur, réfrigérateur domestique, modélisation analytique, évaporateur à surface, simulation numérique

Projects

Funder:ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
Funding programme:Mladi raziskovalci

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