Abstract
It is suggested to use Cartesian-helical coordinates for simplifying numerical solution and analytical investigations of equations of heat transfer in swirling regions. In these coordinates, a swirling region is a cylinder. This enables one, in particular, to avoid the difficulties of constructing computational grids and, in the case of stabilized flows, to treat the problem as a two-parameter one. In the case of numerical solution, additional terms appearing in the equations are treated as source terms. The solution of problem of stabilized heat transfer in a profiled pipe is given by way of illustration of application of the suggested method.
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References
Ivanova, A.I., Izv. Akad. Nauk SSSR, 1957, no. 12, p. 46.
Nazmeev, Yu.G., Gidrodinamika i teploobmen zakruchennykh potokov reologicheski slozhnykh zhidkostei (The Hydrodynamics and Heat Transfer of Swirling Flows of Rheologically Complex Liquids), Moscow: Energoatomizdat, 1996.
Tokarev, Yu.N., Vestn. Mosk. Energ. Inst., 2004, no. 5, p. 115.
Astarita, G. and Marrucci, G., Principles of Non-Newtonian Fluid Mechanics, New York: McGraw-Hill, 1974. Translated under the title Osnovy gideomekhaniki nen’yutonovskikh zhidkostei, Moscow: Mir, 1978.
Korenev, G.V., Tenzornoe ischislenie (Tensor Calculus), Moscow: MFTI (Moscow Inst. of Physics and Technology), 2000.
Vasil’ev, O.F., Osnovy mekhaniki vintovykh i tsirkulyatsionnykh potokov (Fundamentals of Mechanics of Helical and Circulation Flows), Moscow: Gosenergoizdat, 1958.
Mitrofanova, O.V., Teplofiz. Vys. Temp., 2003, vol. 41, no. 4, p. 587 (High Temp. (Engl. transl.), vol. 41, no. 4, p. 518).
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Original Russian Text © Yu.N. Tokarev, A.T. Komov, 2007, published in Teplofizika Vysokikh Temperatur, Vol. 45, No. 5, 2007, pp. 763–771.
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Tokarev, Y.N., Komov, A.T. Equations of dynamics and heat transfer of incompressible liquid in Cartesian-helical coordinates. High Temp 45, 694–702 (2007). https://doi.org/10.1134/S0018151X07050185
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DOI: https://doi.org/10.1134/S0018151X07050185