Authors: Mizzi, Simon; Emerson, David R.; Stefanov, Stefan K.; Barber, Robert W.; Reese, Jason M.

Source: Journal of Computational and Theoretical Nanoscience, Volume 4, Number 4, June 2007 , pp. 817-822(6)

Publisher: American Scientific Publishers

Abstract:

The Navier-Stokes-Fourier equations, with boundary conditions that account for the effects of velocity-slip and temperature-jump, are compared to the direct simulation Monte Carlo method for the case of a lid-driven micro-cavity. Results are presented for Knudsen numbers within the slip-flow regime where the onset of nonequilibrium effects are usually observed. Good agreement is found in predicting the general features of the velocity field and the recirculating flow. However, although the steady-state pressure distributions along the walls of the driven cavity are generally in good agreement with the Monte Carlo data, there is some indication that the results are starting to show noticeable differences, particularly at the separation and reattachment points. The modified Navier-Stokes-Fourier equations consistently overpredict the maximum and minimum pressure values throughout the slip regime. This highlights the need for alternative boundary formulations or modeling techniques that can provide accurate and computationally economic solutions over a wider range of Knudsen numbers.

Keywords: MICROFLUIDICS; CAVITY FLOW; SLIP REGIME; NONEQUILIBRIUM PHENOMENA; KNUDSEN NUMBER

Document Type: Research article

DOI: http://dx.doi.org/10.1166/jctn.2007.017

Publication date: 2007-06-01

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• Journal of Computational and Theoretical Nanoscience is an international peer-reviewed journal with a wide-ranging coverage, consolidates research activities in all aspects of computational and theoretical nanoscience into a single reference source. This journal offers scientists and engineers peer-reviewed research papers in all aspects of computational and theoretical nanoscience and nanotechnology in chemistry, physics, materials science, engineering and biology to publish original full papers and timely state-of-the-art reviews and short communications encompassing the fundamental and applied research.
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