d1736dba-cc94-499a-9e2f-9bd64099413520210201103826239wseamdt@crossref.orgMDT DepositWSEAS TRANSACTIONS ON HEAT AND MASS TRANSFER1790-50442224-34611790-504410.37394/232012http://wseas.org/wseas/cms.action?id=4041217202021720201510.37394/232012.2020.15http://www.wseas.org/wseas/cms.action?id=23191Ivan V.KazachkovDepartment of Information Technology and Data Analysis, Nizhyn Mykola Gogol State University, Nizhyn, UKRAINEMixing processes in the turbulent two-phase jet confined at some distance from the nozzle aremodeled and examined. Many natural and technical phenomena deal with the turbulent mixing and heattransfer in the jet of mutually immiscible liquids, which represent an important class of the modern multiphasesystems dynamics. The differential equations for axially symmetrical two-dimensional stationary flow and theintegral correlations in a cylindrical coordinate system are considered for the free heterogeneous jet confined atits initial or ground part in the cylindrical channel. Algorithm and the results obtained may be of interest for theresearch and industrial tasks, where the calculations of the turbulent mixing and heat transfer in multiphase jetdevices are of importance.10120201012020151162https://www.wseas.org/multimedia/journals/heat/2020/a385112-076.pdf10.37394/232012.2020.15.19https://www.wseas.org/multimedia/journals/heat/2020/a385112-076.pdfNakorchevskii А.I. Heterogeneous turbulent jets. Кyiv: Naukova Dumka, 1980, 142 p. Nakorchevskii А.I., Kazachkov I.V. Calculation of heterogeneous turbulent jet. In: Automation Systems of continuous technological processes, Inst. of Cybernetics of NASU, 1979, P. 68-79.10.20431/2454-7980.0401008Kazachkov I.V. Approaches for mathematical modeling and experimental study of the turbulent flows of mutually immiscible liquids (oil-water)// Int. J. Petroleum and Petrochemical Engineering (IJPPE).– V. 4, N 1, 2018, P. 1-12.Nakorchevskii А.I., Basok B.I. Hydrodynamics and heat transfer in heterogeneous systems and devices of pulsating type. Kyiv: Naukova Dumka, 2001, 348 p.Kazachkov I.V. Mathematical modeling of heterogeneous turbulent jets in cylindrical chamber// Soviet automatic control, 1980, vol.13, jan.-feb., p. 1-6. 10.37394/232012.2020.15.16Kazachkov Ivan V. Mathematical Modeling of the Mixing and Heat Transfer in Turbulent Two-Phase Jets of Mutually Immiscible Liquids// WSEAS Transactions on Heat and Mass Transfer, 2020, 15 (16), p. 117-129. Kazachkov Ivan V. Numerical Simulation of the Turbulent Two-Phase Jet// Engineering World, 2020, vol. 2, p. 107-119.Yakovlevskii O.V. The Mixing of Jets in a Channel with Variable Cross Section// Izvestiya Akademii NaukSSSR, OTN, Mekhanika i Mashinostroyeniye.- 1962, No. 1, p. 66-72 (English translation FTD-TT-62- 1571).Nakorchevskii А.I. Basic regularities of the stabilization of flows in jet devices. –In book: Hydraulics and hydrotechnics.- Kiev: Tekhnika.- 1966, No.4, p. 127-145.Nakorchevskii A.I. Reactor for continuous refinement of metal/ Patent USSR No492554.- Bulletin. 1975. No.4310.2514/3.10143Khodadadi J.M. and Vlachost N.S. Experimental and Numerical Study of Confined Coaxial Turbulent Jets// AIAA Journal, 1989, Vol. 27, No. 5, p. 532-541.10.1063/1.3662442Voropayev S.I., Sanchez X., Nath C., Webb S., and Fernando H.J.S. Evolution of a confined turbulent jet in a long cylindrical cavity: Homogeneous fluids// Physics of Fluids, 2011, 23, 115106, p. 1-11.Hilgers A. Control and optimization of turbulent jet mixing/ Center for Turbulence Research: Annual Research Briefs, 2000, p. 45-54. Dreitser, G. A., Some problems of development of highly efficient tubular heat exchangers, Proc. V Minsk Int. Forum of Heat and Mass Transfer, Minsk, 2004, vol. 2,p. 288–289.10.1016/s0009-2509(02)00172-0Ho C.A. and Sommerfeld M. Modeling of micro-particle agglomeration in turbulent flows// Chem. Eng. Sci., 2002, vol. 57, p. 3073–3084.10.1017/s0022112002001738Marchioli C. and Soldati A. Mechanisms for particle transfer and segregation in a turbulent boundary layer, J. Fluid. Mech., 2002, vol. 468, p. 283–315.10.1017/s0022112000002627Rouson D.W.I. and Eaton J.K. On the preferential concentration of solid particles in turbulent channel flow, J. Fluid Mech., 2001, vol. 428, p. 149–169.10.1063/1.1517603Sigurgeirsson H. and Stuart A.M. A model for preferential concentration, Phys. Fluids, 2002, vol. 14, no. 12, p. 4352–4361. 10.1088/1468-5248/3/1/040Simonin O., Fevrier P., and Lavieville J., On the spatial distribution of heavy particle velocities in turbulent flow: from continuous fi eld to particulate chaos// J. Turbulence, 2002, vol. 3(040), p. 1-18. 10.1007/bf02755810Varaksin A.Yu. and Polyakov A.F. Some problems associated with experimental investigation of the structure of heterogeneous flows, High Temp., 2000b, vol. 38, no. 4, p. 621–628.