Determination of Zone of Flow Instability in a Gas Flow Past a Square Particle in a Narrow Microchannel

  • Kiril ShterevEmail author
  • Stefan Stefanov
Part of the Modeling and Optimization in Science and Technologies book series (MOST, volume 2)


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).


Mach Number Knudsen Number Direct Simulation Monte Carlo Total Variation Diminish Karman Vortex Street 
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© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Institute of MechanicsBulgarian Academy of SciencesSofiaBulgaria

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