Heat and mass transfer of oscillatory lid-driven cavity flow in the continuum, transition and free molecular flow regimes.

Highlights • Heat and mass transfer of an oscillatory rarefied gas flow in a square cavity is investigated. • Effects of frequency and speed of the oscillating lid are studied. • The hot to cold heat transfer could be dominant for a highly rarefied oscillatory flow. • The convective heat transfer could be dramatically enhanced by lid oscillation. • The average Nusselt number on the lid is reported in all the flow regimes. Abstract Although effective cooling of micro-electro-mechanical systems (MEMS) with oscillatory components is essential for reliable device operation, the role of oscillation on heat transfer remains poorly understood. In this work, heat and mass transfer of the oscillatory gas flow inside a square cavity is computationally studied by solving the Boltzmann model equation, i.e. the Shakhov model. The oscillation frequency of the lid and rarefaction and nonlinearity of the flow field are systematically investigated. Our results show that, when the oscillation frequency of the lid increases, the usual cold-to-hot heat transfer pattern for highly rarefied flow changes to hot-to-cold, which contradicts the well-known anti-Fourier (i.e. cold-to-hot) heat transfer in a non-oscillatory lid-driven cavity. In addition, the thermal convection will be dramatically enhanced by lid oscillation, which may play a dominant role in the heat transfer. Meanwhile, the average Nusselt number varies non-monotonically with the oscillation frequency, with the maximum occurring at the anti-resonance frequency. Finally, the average Nusselt number on the lid at various oscillation frequencies is found to reduce when the gas becomes more rarefied. These findings may be useful for the thermal design of MEMS. [ABSTRACT FROM AUTHOR]