Influence of the heat transfer coefficient on heat transfer in a vibrating cylindrical cavity
https://doi.org/10.26907/2541-7746.2025.1.16-29
Abstract
Heat transfer in a vibrating cylindrical air-filled cavity, where the heat flux on the walls is defined by the Newton–Richmann law, was studied numerically. To describe the process in an axisymmetric formulation, the full system of Navier–Stokes equations with constant values of the viscosity and thermal conductivity coefficients was used. Three characteristic vibration frequencies were considered. The influence of the heat transfer coefficient on the temperature distribution in the cavity was investigated. The findings show that when the heat transfer occurs through the cavity walls, vibration can reduce the period average temperature in the central part of the cavity. For each of the considered vibration frequencies, the values of the heat transfer coefficient were determined at which the overall average temperature in the cavity increases. The influence of the heat transfer coefficient on the direction of the heat flux through the side surface of the cavity at different vibration frequencies was analyzed.
About the Authors
A. A. Gubaidullin
Tyumen Branch of the Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences; University of Tyumen
Russian Federation
Russian Federation
Amir A. Gubaidullin, Dr. Sci. (Physics and Mathematics), Full Professor, Leading Researcher, Tyumen Branch of the Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences; Full Professor, Department of Applied and Technical Physics, University of Tyumen
Tyumen
A. V. Pyatkova
Tyumen Branch of the Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences; University of Tyumen
Russian Federation
Russian Federation
Anna V. Pyatkova, Cand. Sci. (Physics and Mathematics), Researcher, Tyumen Branch of the Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences; Associate Professor, Department of Fundamental Mathematics and Mechanics, University of Tyumen
Tyumen
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Review
For citations:
Gubaidullin A.A., Pyatkova A.V. Influence of the heat transfer coefficient on heat transfer in a vibrating cylindrical cavity. Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki. 2025;167(1):16-29. (In Russ.) https://doi.org/10.26907/2541-7746.2025.1.16-29
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