We propose an approach that permits constructing an analytical solution of the problem of flow and heat transfer in a viscous compressible conducting medium near an infinite dielectric disk rotating in a homogeneous magnetic field. The influence of the magnetic field on the process of heat transfer near the disk surface has been investigated. It has been shown that Joule energy dissipation prevails over viscous dissipation at moderate magnetic fields.
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V. E. Minaker and E. K. Dzhincharadze, A Centrifugal Apparatus for Separating a Mixture Consisting of Two Liquid and One Solid Fractions, Patent RF No. 2032470, published 10.04.1995, Byul. No. 23.
V. D. Borisevich, V. D. Borman, G. A. Sulaberidze, A. V. Tikhomirov, and V. I. Tokmantsev, Physical Principles of Isotope Separation in a Gas Centrifuge [in Russian], Izd. Dom MÉI, Moscow (2011).
R. Isaksson and P. Torvid, Centrifugal Separator and Rotor, Patent RF No. 2523817, published 27.07.2014, Byul. No. 21.
V. P. Beskachko, N. A. Bolotnikov, and P. O. Tsatsin, MHD effects arising in experiments with a rotating disk in the presence of an axial magnetic field, Vestn. Yuzhn.-Uralsk. Gos. Univ., Mat., Fiz., Khim., Issue 7, 187–192 (2006).
E. P. Velikhov, Stability of flow of an ideally conducting liquid between rotating cylinders in a magnetic field, Zh. Éksp. Teor. Fiz., 36, 1398–1404 (1959).
E. P. Velikhov, Magnetic geodynamics, Pis′ma Zh. Éksp. Teor. Fiz., 82, Issue 11, 785–790 (2005).
A. I. Karchevskii and E. P. Potanin, Plasma centrifuges, in: V. Yu. Baranov (Ed.), Isotopes: Properties, Production, Application [in Russian], Vol. 1, Fizmatlit, Moscow (2005), pp. 326–338.
V. D. Borisevich and E. P. Potanin, Magnetohydrodynamic flow and heat transfer near a permeable disk at simultaneous rotation of the disk and of the surrounding medium, Magn. Gidrodin., No. 4, 54–58 (1988).
E. P. Potanin, Three-dimensional gas flow in a rotating cylinder with a stopping cover, Mekh. Zhidk. Gaza, No. 1, 78–87 (2013).
L. P. Gorbachev and E. P. Potanin, On the calculation of the MHD boundary layer on disks, Magn. Gidrodin., No. 2, 93–96 (1969).
V. D. Borisevich and E. P. Potanin, Effect of viscous dissipation and Joule heat on the heat transfer near a rotating disk in the presence of intense suction, J. Eng. Phys. Thermophys., 55, No. 5, 740–744 (1988).
A. A. Dorodnitsyn, Boundary layer in a compressible gas, Prikl. Mat. Mekh., 6, Issue 6, 449–486 (1942).
V. P. Shidlovskii, Laminar boundary layer on an infinite disk rotating in a gas, Prikl. Mat. Mekh., 24, Issue 1, 161–164 (1960).
A. Chandrasekhar and G. Nath, Unsteady rotating compressible flow over a rotating infinite disk with a magnetic field, Acta Tech. CSAV, No. 1, 58–70 (1989).
V. D. Borisevich and E. P. Potanin, Flow and heat transfer in a laminar compressible boundary layer on a rotating disk in the presence of strong uniform suction, Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5, 170 (1987).
V. S. Sedach, Kinematics of the air flow cooling a gas-turbine disk, in: Tr. Kharkovsk. Politekh. Inst., 24, Issue 6, 69–87 (1957).
L. A. Dorfman, Hydrodynamic of Resistance and Heat Release of Rotating Bodies [in Russian], Fizmatgiz, Moscow (1960).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 88, No. 6, pp. 1460–1467, November–December, 2015.
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Borisevich, V.D., Potanin, E.P. Magnetohydrodynamic Phenomena and Heat Transfer Near a Rotating Disk. J Eng Phys Thermophy 88, 1513–1521 (2015). https://doi.org/10.1007/s10891-015-1337-9
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DOI: https://doi.org/10.1007/s10891-015-1337-9