Mathematical model of turbulent heat transfer based on the dynamics of two fluids

• Published in: Applied Mathematical Modelling 2021-03, Vol.91, p.186-213
• Main Author: Malikov, Z.M.
• Format: Article
• Language: English
• Subjects: Computational fluid dynamics; Flow past a plate; Fluid flow; Fluids; Heat transfer; Jet aircraft; Mathematical analysis; Mathematical models; Nusselt number; Rotating cylinders; Rotating flow; Temperature gradients; Thermodynamic properties; Turbulence models; Turbulent flow; Turbulent heat transfer; Two fluid models; Two–fluid model
• ISSN: 0307-904X; 1088-8691; 0307-904X
• DOI: 10.1016/j.apm.2020.09.029

•Turbulent flow is presented as a heterogeneous mixture of two fluids with different velocities and temperatures.•A closed system of equations for turbulent thermodynamics is derived.•It is shown that the new model is able to describe complex anisotropic turbulent processes of thermodynamics. A new approach to modeling turbulent heat transfer based on the thermodynamics of two fluids is presented in the paper. This study is a development of a two-fluid turbulence model. It was shown that the temperature fluctuation in a turbulent flow is due to the temperature difference of these fluids. A mathematical model of turbulent heat transfer was built on the basis of the two-fluid approach. The obtained mathematical model of turbulence was used to study turbulent heat propagation when flowing past a plane plate, in round and plane jets, and between two rotating cylinders. To verify the model, numerical results were compared with known experimental data. The results obtained showed that the two-fluid model of turbulent transfer describes the thermodynamic properties of the turbulent flow with great accuracy.