Limitation enhancement of a mixed convection by a vibrational heat surface in a vertical channel

Abstract

A numerical simulation is performed to study effects of a vibrational heat surface on a mixed convection in a vertical channel flow. This subject is a kind of moving boundary problems, and the finite element method and arbitrary Lagrangian-Eulerian kinematics description method is then utilized. The main parameters of Grashof number, amplitude and frequency are taken into consideration, and the Reynolds number is limited and equals 100. According to the results, the equations of the critical vibration frequency could be derived and expressed in terms of Grashof number and amplitude. In the forced convection, the critical vibration frequency is only dependent on the amplitude, and in the mixed convection the critical vibration frequency becomes larger as the Grashof number increases. The variation of the critical vibration frequency of the study could league with the critical vibration frequency of the natural convection shown in the previous study consistently.