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Measurements of pressure gradient and temperature gradient driven flows in a rectangular channel

Published online by Cambridge University Press:  02 August 2021

Ricardo Brancher Open the ORCID record for Ricardo Brancher [Opens in a new window] ,
Martin Victor Johansson Open the ORCID record for Martin Victor Johansson [Opens in a new window] ,
Pierre Perrier Open the ORCID record for Pierre Perrier [Opens in a new window]  and
Irina Graur Open the ORCID record for Irina Graur [Opens in a new window]
Ricardo Brancher*
Affiliation:
Aix Marseille Université, CNRS, IUSTI UMR 7343, 13453 Marseille, France
Martin Victor Johansson
Affiliation:
Aix Marseille Université, CNRS, IUSTI UMR 7343, 13453 Marseille, France SINTEF Energy Research, PO Box 4761 Torgarden, NO-7465 Trondheim, Norway
Pierre Perrier
Affiliation:
Aix Marseille Université, CNRS, IUSTI UMR 7343, 13453 Marseille, France
Irina Graur
Affiliation:
Aix Marseille Université, CNRS, IUSTI UMR 7343, 13453 Marseille, France
*
†Email address for correspondence: ricardo.d.brancher@gmail.com
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Abstract

The objective of this experimental investigation is to characterize the gas–surface interaction under different flow conditions. Therefore, the mass flow rates driven by a pressure gradient under isothermal conditions and by only a temperature gradient under constant pressure conditions are measured in the same microchannel for five different gases: helium, neon, nitrogen, argon and krypton. The pressure driven experiments are carried out in the hydrodynamic and slip flow regimes, $0.0016< \text{Knudsen number } (Kn) <0.12$, while the temperature driven experiments in the slip and transitional flow regimes have $0.05< Kn<0.45$. Using a previously developed methodology, the velocity and thermal slip coefficients are derived from the measured mass flow rates. By adopting the classical Maxwell boundary condition, the accommodation coefficients are found to be very different for both types of flows, with a significantly lower value for polyatomic nitrogen in the case of temperature gradient driven flows. An attempt to calculate the tangential momentum and normal energy accommodation coefficients in the frame of the Cercignani–Lampis model was successful only for the tangential momentum accommodation coefficient, which was found to be very close to that derived with the Maxwell model. However, it was not possible to obtain the values of the normal energy accommodation coefficient due to a lack of numerical results which connect the thermal slip and normal energy accommodation coefficients for very low values of the latter.

JFM classification

Rarefied Gas Flow: Kinetic theory Multiphase and Particle-laden Flows: Gas/liquid flow
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 923 , 25 September 2021 , A35
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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