FLUID FLOW IN LONG RECTANGULAR MINICHANNELS AND MICROCHANNELS
Abstract
This article applies methods of statistical thermodynamics to analysis of fluid transport in mini channel sand micro channels. The hydrodynamic equations are linear is edand the governing equation of gas motion is reduced to the Stokese quation. There ducedmass flow through the micro channelis expressed in terms of the molecular mass, Boltzmannconstantandrare faction parameter. A key variable in estimating pressure differences within the microchannel is the apparent viscosity and thermal conductivity. In this regard, kinetic theory is applied with a Lenard–Jones potential to derive formulations of the microfluidic viscosity and thermal conductivity. The ChungͲLeeͲStarling model is applied to calculate viscosity and thermal conductivity. Numerical results are presented for property variations in fully developed flow through along rectangular micro channel.
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