Predicting microscale gas flows and rarefaction effects through extended Navier–Stokes–Fourier equations from phoretic transport considerations

Dongari, Nishanth ; Durst, Franz ; Chakraborty, Suman (2010) Predicting microscale gas flows and rarefaction effects through extended Navier–Stokes–Fourier equations from phoretic transport considerations Microfluidics and Nanofluidics, 9 (4-5). pp. 831-846. ISSN 1613-4982

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Official URL: http://link.springer.com/article/10.1007%2Fs10404-...

Related URL: http://dx.doi.org/10.1007/s10404-010-0604-5

Abstract

We test an extended continuum-based approach for analyzing micro-scale gas flows over a wide range of Knudsen number and Mach number. In this approach, additional terms are invoked in the constitutive relations of Navier–Stokes–Fourier equations, which originate from the considerations of phoretic motion as triggered by strong local gradients of density and/or temperature. Such augmented considerations are shown to implicitly take care of the complexities in the flow physics in a thermo-physically consistent sense, so that no special boundary treatment becomes necessary to address phenomenon such as Knudsen paradox. The transition regime gas flows, which are otherwise to be addressed through computationally intensive molecular simulations, become well tractable within the extended quasi-continuum framework without necessitating the use of any fitting parameters. Rigorous comparisons with direct simulation Monte Carlo (DSMC) computations and experimental results support this conjecture for cases of isothermal pressure driven gas flows and high Mach number shock wave flows through rectangular microchannels.

Item Type:Article
Source:Copyright of this article belongs to Springer.
Keywords:Extended Navier–Stokes–Fourier Equations; Phoretic Mass Diffusion; Rarefied Gas Flows; Shock Waves; DSMC; Effective Mean Free Path
ID Code:100843
Deposited On:04 Jan 2017 12:25
Last Modified:04 Jan 2017 12:25

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