Geodesic
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, mehanika, kompʹûternye nauki, Tome 28 (2018) no. 1, pp. 119-130

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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, numerical simulation.
Mots-clés : convection 
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     author = {N. S. Gibanov and M. A. Sheremet},
     title = {The impact of position of the local volumetric heat generating source of a semi-cylindrical shape on heat exchange inside the cavity},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {119--130},
     publisher = {mathdoc},
     volume = {28},
     number = {1},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2018_28_1_a10/}
}
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N. S. Gibanov; M. A. Sheremet. 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, mehanika, kompʹûternye nauki, Tome 28 (2018) no. 1, pp. 119-130. http://geodesic.mathdoc.fr/item/VUU_2018_28_1_a10/