Abstract
The rapidly emerging industry of micro-electro-mechanical devices gives rise to new potential microfluidic applications. The analysis of the possible flow regimes is an important task of any microfluidic investigation. For a gas flow the transition between steady and unsteady regimes occurs at small Knudsen number Kn < 0.1 (Kn = ℓ0 / L, where ℓ0 is the mean free path of the gas molecules and L is the characteristic length). A continuum approach based on the Navier-Stokes-Fourier equations is applicable for this investigation. On the other side, the microfluidic application requires the problem to be investigated starting at very low Mach numbers (M = 0.1), close to incompressible regime. This makes pressure based methods very suitable for this investigation. The system of Navier-Stokes-Fourier equations is calculated numerically using pressure based algorithm SIMPLE-TS 2D. The results are validated by comparing them to data obtained by using molecular approach (direct simulation Monte Carlo (DSMC) method).
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Shterev, K., Stefanov, S. (2014). Determination of Zone of Flow Instability in a Gas Flow Past a Square Particle in a Narrow Microchannel. In: Dulea, M., Karaivanova, A., Oulas, A., Liabotis, I., Stojiljkovic, D., Prnjat, O. (eds) High-Performance Computing Infrastructure for South East Europe's Research Communities. Modeling and Optimization in Science and Technologies, vol 2. Springer, Cham. https://doi.org/10.1007/978-3-319-01520-0_5
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DOI: https://doi.org/10.1007/978-3-319-01520-0_5
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