Problems of Two-Phase Immiscible Liquids and Methods for Their Solution

Toleuov T. Sakhabayeva A. Baishemirov Z. Sadirbekova D.
2025 International Information and Engineering Technology Association

Mathematical Modelling of Engineering Problems
2025 #12 Issue 6 2069 - 2076 pp.

This study investigates the dynamics of two-phase immiscible fluids, which are critically important for chemical engineering, petrochemistry, biotechnology, and ecology. Fundamental aspects of phase interactions are analyzed, including the influence of capillary forces, viscosity, and surface tension. Modern modeling methods are considered, such as the finite element method, the volume-of-fluid method, and the phase field method, as well as numerical solutions based on the Navier-Stokes equations. The study proposes an improved finite volume method with adaptive grids, ensuring high accuracy in accounting for capillary and gravitational forces. Improved stability and computational accuracy have been achieved, making the method promising for optimizing liquid separation processes, controlling flows in porous media, and enhancing heat exchange efficiency. Copyright:

experimental research , hydrodynamics of two-phase systems , immiscible fluids , mathematical modeling , partition coefficient , phase interaction , phase interaction models , two-phase fluids

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Department of Computer Science and Information Technology, K.Zhubanov Aktobe Regional University, Aktobe, 030000, Kazakhstan
Department of Mathematics and Mathematical Modeling, Abai Kazakh National Pedagogical University, Almaty, 050010, Kazakhstan
School of Applied Mathematics, Kazakh-British Technical University, Almaty, 050010, Kazakhstan
Department of Science, Abai Kazakh National Pedagogical University, Almaty, 050010, Kazakhstan
Department of Science, Almaty Humanitarian-Economic University, Almaty, 050035, Kazakhstan

Department of Computer Science and Information Technology
Department of Mathematics and Mathematical Modeling
School of Applied Mathematics
Department of Science
Department of Science

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