Geodesic
Mathematical modeling of the hydrothermodynamic regime of a vortex axial heat generator
Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 2 (2017), pp. 37-47

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The mathematical model of the vortex axial heat generator is based on the equations of hydromechanics of a viscous incompressible fluid, written in the cylindrical system coordinates in supposition axial symmetry. The currents fields are found from solution of a set of two equations for vorticity and stream function. To calculate the heat release, swirling flow of liquid in the heat generator, the heat transfer equation was applied taking into account the transition of mechanical energy of the viscous fluid flow into heat. The numerical modeling results of the hydro thermo dynamical regime in a passive vortex axial heat generator were obtained by numerical experiments. Three options are considered. The differences relate to the internal configuration of the heat generator. The design efficiency was estimated by the ratio of the temperature increment to the loss of pressure. The results are illustrated by temperature distribution inside the heat generator and the stream functions characterizing arising flow fields.
Keywords: numerical experiment, integral characteristics, vortex heat generator, passive axial. 
@article{VTPMK_2017_2_a2,
     author = {V. I. Klimok},
     title = {Mathematical modeling of the hydrothermodynamic regime of a vortex axial heat generator},
     journal = {Vestnik Tverskogo gosudarstvennogo universiteta. Seri\^a Prikladna\^a matematika},
     pages = {37--47},
     publisher = {mathdoc},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTPMK_2017_2_a2/}
}
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V. I. Klimok. Mathematical modeling of the hydrothermodynamic regime of a vortex axial heat generator. Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 2 (2017), pp. 37-47. http://geodesic.mathdoc.fr/item/VTPMK_2017_2_a2/