Analytical modeling and numerical simulation of heat transfer in a skin evaporator

Lorbek, Luka (author), Poredoš, Primož (author), Kitanovski, Andrej (author), Poredoš, Alojz (author)

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
• Typology: 1.01 - Original Scientific Article
• Organization: FS - Faculty of Mechanical Engineering
• Publication status: Published
• Publication version: Version of Record
• Year: 2018
• Number of pages: Str. 195-203
• Numbering: Vol. 88
• PID: 20.500.12556/RUL-124220
• UDC: 62-714:004.94(045)
• ISSN on article: 0140-7007
• DOI: 10.1016/j.ijrefrig.2018.01.012
• COBISS.SI-ID: 15891227

Note

cevno-ploščni uparjalnik, prenos toplote, gospodinjski hladilnik, analitično modeliranje, numerična simulacija

• Publication date in RUL: 08.01.2021

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

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 - Slovenian Research Agency
• Funding programme: Mladi raziskovalci