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Archive of Issues

Russia Tomsk
Year
2018
Volume
28
Issue
1
Pages
119-130
 Section Mechanics Title The impact of position of the local volumetric heat generating source of a semi-cylindrical shape on heat exchange inside the cavity Author(-s) Gibanov N.S.a, Sheremet M.A.a Affiliations Tomsk State Universitya Abstract Mathematical modeling of heat transfer processes inside a closed square cavity having a local heat source of a semi-cylindrical shape has been performed. The effect of the heater location on the evolution of flow structures has been analyzed. The considered cavity was a closed square contour with a heat-generating element located on the bottom wall. Side walls were considered as isothermal. The presented boundary problem has been formulated in dimensionless variables such as stream function-vorticity-temperature and it has been solved by a finite difference method. The effects of Rayleigh numbers in the range of $10^{4}$-$10^{5}$ and the position of the local energy source on heat exchange inside the cavity have been estimated. Keywords closed contour, heat generating source, convection, numerical simulation UDC 536.24 MSC 76R10, 80A20 DOI 10.20537/vm180111 Received 18 January 2018 Language Russian Citation Gibanov N.S., Sheremet M.A. The impact of position of the local volumetric heat generating source of a semi-cylindrical shape on heat exchange inside the cavity, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2018, vol. 28, issue 1, pp. 119-130. References Martyushev S.G., Sheremet M.A. Numerical analysis of conjugate convective-radiative heat transfer in an enclosure filled with diathermanous medium, Vestn. Udmurt. Univ. Mat. Mekh. Komp'yut. Nauki, 2012, issue 3, pp. 114-125 (in Russian). DOI: 10.20537/vm120311 Martyushev S.G., Miroshnichenko I.V., Sheremet M.A. Numerical analysis of conjugate natural convection and thermal surface radiation in a cube filled with diathermanous medium, Vestn. Udmurt. Univ. Mat. Mekh. Komp'yut. Nauki, 2014, issue 2, pp. 111-120 (in Russian). 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Sheremet M.A. Effect of shape and sizes of a local heat source on convective heat transfer in a square cavity, Computer Research and Modeling, 2015, vol. 7, no. 2, pp. 271-280 (in Russian). Full text