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Rayleigh–Benard convection is a fundamental phenomenon found in many atmospheric and industrial applications. Many numerical methods have been applied to analyze this problem. The effects of oscillatory flow structures on transient convective heat transfer in an air-filled shallow enclosure with a vibrating side wall are investigated. Oscillatory flows and RayleighBenard convection have been extensively studied. In the present study, fluid motion is driven by the periodic vibration of the enclosure side wall. The vertical walls of enclosure are adiabatic while the bottom wall is isothermally heated and the top wall is kept at an initial temperature. The fully compressible forms of the Navier-Stokes and energy equations are considered to compute the interaction of oscillatory and gravitational flow fields. A finite-volume method based, explicit time-marching Flux-Corrected Transport Algorithm is used to simulate the transport phenomena in the enclosure. The results of a test case simulation with stationary walls are compared with the existing literature for the validation of the algorithm utilized. The oscillatory fluid motion significantly changes the transient behavior of the thermal transport in the enclosure compared to the pure Rayleigh-Benard convection.

Simulations of the rayleigh benard Convection type acoustic streaming Motion in acompressible gas filled Two dimensional rectangular Enclosure