Modelling and computer simulation of the turbulent two-phase jets of nano fluids

• Date: 2026
• Main Authors: Kazachkov, Ivan, Nesterenko, Oleksandr
• Format: Article
• Language: Ukrainian
• Published: Kyiv National University of Construction and Architecture 2026
• Subjects: mathematical modeling; computational experiment; turbulent; two-phase; jets; immiscible liquids; nanofluids
• Online Access: https://es-journal.in.ua/article/view/365028
• Journal Title: Environmental safety and natural resources

The present paper is devoted to development of the mathematical models and numerical procedures for simulation of the mixing and heat transfer features of mutually immiscible liquids in the two-fluid turbulent heterogeneous jet flow, as well as in more general case – turbulent multiphase jets. Many natural and technical processes deal with the turbulent jets of mutually immiscible liquids, which represent an important class of the modern multiphase system dynamics. Differential equations for the axially symmetrical two-dimensional stationary flow and the integral correlations in a cylindrical coordinate system by Professor Alfred Nakorchevskii are considered for the jet of fluid flowing from a nozzle into a space filled with another fluid that is not miscible with the first one. Parameters of the turbulent mixing in the two-phase jet flow are modeled and analyzed. Previously the experimental data with water and oil, as well as with liquid metals, confirmed the results of numerical computer simulation when one example was performed for simulation of the high-temperature melts’ flow cooled by water in the hypothetic severe accidents at the nuclear power plant. The results obtained may be of interest for some research and industrial tasks, where the calculation of parameters of the multiphase turbulent mixing and heat transfer are important. Here the mathematical modelling and computer simulation of the mixing and heat transfer processes in the two-fluid turbulent heterogeneous jet flow of Nano fluids is considered. Many natural and technical processes deal with the turbulent jets of mutually immiscible liquids, which represent an important class of the modern multiphase system dynamics including the ones for the features of Nano fluids. Differential equations for the axially symmetrical two-dimensional stationary flow and the integral correlations in a cylindrical coordinate system were considered for the jet of fluid from a nozzle into a space filled with another fluid that is not miscible with the first one. Parameters of the turbulent mixing during the spreading of such jets are modeled and analyzed. The method was proved successfully during the half of the century in many different physical tasks including experimental studies with using the invented two-phase micro-sensor of Prof. A.I. Nakorchevskii and Dr. V.O. Chernov. The results obtained for the flow of a few Nano fluids may be of interest for the research and industrial tasks, where the calculation of multiphase turbulent mixing and heat transfer are important.