An hybrid method, coupling the direct numerical solution of the Bhatnagar-Gross-Krook (BGK) kinetic equation and a Navier-Stokes model is presented. The computational physical domain is decomposed into kinetic and continuum sub-domains using an appropriate criteria based on the local Knudsen number and proper gradients of macro-parameters, computed via a preliminary Navier-Stokes solution throughout the whole physical domain. The coupling is achieved by matching half fluxes at the interface of the kinetic and Navier-Stokes domains, thus taking care of the conservation of momentum, energy and mass through the interface. The proposed method is used for the simulation of the flow through a micro-slit. Outlet to inlet pressure ratio of 0.1, 0.5 and 0.9 are considered, for a wide range of Knudsen number. The local parameters (density, velocity and temperature) along symmetry axis show satisfactory agreement with those computed by the continuum model.
- Heat Transfer Division
Coupling Kinetic and Continuum Equations for Micro Scale Flow Computations
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Croce, G, & Rovenskaya, O. "Coupling Kinetic and Continuum Equations for Micro Scale Flow Computations." Proceedings of the ASME 2011 9th International Conference on Nanochannels, Microchannels, and Minichannels. ASME 2011 9th International Conference on Nanochannels, Microchannels, and Minichannels, Volume 1. Edmonton, Alberta, Canada. June 19–22, 2011. pp. 319-326. ASME. https://doi.org/10.1115/ICNMM2011-58091
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