Abstract
Details of a numerical model and the results of calculation are presented for the interphase heat and mass transfer in the two-phase flow produced by nozzle spraying of a liquid into a gas. The proposed mathematical model is based on the unsteady-state differential equations of flow of a compressible medium, supplemented with the equations of heat and mass transfer from the drops to the gas. Difference analogs of the equations of continuity and motion of the phases are created using the known Lax–Wendroff explicit scheme. The axial and radial profiles of the velocities and temperatures of the drops and the gas in the free nozzle spray cone, and also in the two-phase flow through the cylindrical apparatus, are calculated taking into account the early drag crisis of the drops and the crisis of the heat-and-mass transfer inter the phases, and also the specific features of the turbulent friction in the gas, which were detected in previous experiments. In the calculations, in particular, the dependences of the temperatures of the drops and the gas, averaged over the outlet section of the apparatus, on the gas flow rate through the apparatus are characterized.
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REFERENCES
Simakov, N.N., Crisis of hydrodynamic drag of drops in the two-phase turbulent flow of a spray produced by a mechanical nozzle at transition Reynolds numbers, Tech. Phys., 2004, vol. 49, no. 2, p. 188.
Simakov, N.N., Calculation of interphase mass transfer in a spray flow produced by a nozzle with account of crisis, Tech. Phys., 2020, vol. 65, no. 4, p. 534.
Simakov, N.N., Liquid Spray from Nozzles, Cham: Springer Nature Switzerland AG, 2020.
Nigmatulin, R.I., Dynamics of Multiphase Systems, Moscow: Nauka, 1987, part 1.
Abramovich, G.N., Theory of Turbulent Jets, Moscow: Nauka, 1984.
Gel’perin, N.I., Basargin, B.N., and Zvezdin, Yu.G., On the fluid dynamics of liquid–gas injectors with dispersion of the working liquid, Teor. Osn. Khim. Tekhnol., 1972, vol. 6, no. 3, p. 434.
Zvezdin, Yu.G., Simakov, N.N., Plastinin, A.P., and Basargin, B.N., Fluid dynamics and heat transfer during spraying a liquid in a high-temperature gas flow, Teor. Osn. Khim. Tekhnol., 1985, vol. 19, no. 3, p. 354.
Schlichting, H., Grenzschicht-Theorie, Karlsruhe: Braun, 1951.
Torobin, L.B. and Gauvin, W.H., Fundamental aspects of solids–gas flow, Part 1: Introductory concepts and idealized motion in viscous regime, Can. J. Chem. Eng., 1959, vol. 37, no. 4, pp. 129–141.
Torobin, L.B. and Gauvin, W.H., Fundamental aspects of solids–gas flow, Part 5: The effect of fluid turbulence on the particle drag coefficient, Can. J. Chem. Eng., 1960, vol. 38, no. 6, pp. 189–200.
Loitsyanskii, L.G., Fluid Mechanics, Moscow: Nauka, 1978.
Landau, L.D. and Lifshits, E.M., Theoretical Physics, Vol. IV: Fluid Mechanics, Moscow: Nauka, 1988.
Ranz, W.E. and Marshall, W.R., Evaporation from drops, Part 2, Chem. Eng. Prog., 1952, vol. 48, no. 5, p. 173.
Potter, D., Computational Physics, New York: Wiley, 1973.
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Translated by V. Glyanchenko
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Simakov, N.N. Calculation of the Interphase Heat and Mass Transfer in a Nozzle Spray Cone Taking into Account the Drag Crisis and the Heat- and Mass-Transfer Crisis. Theor Found Chem Eng 56, 339–351 (2022). https://doi.org/10.1134/S0040579522030137
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DOI: https://doi.org/10.1134/S0040579522030137