Numerical solutions to BGK equation for unsteady flows
by Ying Wan Yap
Abstract: Recent developments in nanofabrication have resulted in high frequency oscillatory flows becoming prevalent. This is especially the case in nanoelectromechanical systems (NEMS), which often utilize structures vibrating in the GHz range. In such gas flows, where the frequency of intermolecular collisions and the oscillating plate are comparable, the continuum assumption breaks down and the Navier-Stokes equations cannot be used. In this talk, I will present a study of oscillatory Couette flow of a rarefied gas in which benchmark solutions are obtained using the BGK model. The applicability of the lattice Boltzmann method is also explored, using these numerical solutions as a benchmark.
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