Influence of the heat transfer coefficient on heat transfer in a vibrating cylindrical cavity

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.