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Communication Dans Un Congrès Année : 2022

Asymptotic Modelling of the Flow of a Thermal Binary Gas Mixture in a Microchannel with VariableWidth

Résumé

Sub-millimeter-sized channels are present in a wide range of applications: They are involved, for instance, in micro channel heat exchangers used in air-conditioner systems, in medical tools (lab-on-chip, micro-pumps) and in micro filters used in high-technology industry to detect biological or chemical entities. In order to study the gas flows in micro channels, Bird's DSMC method is frequently used. This method is efficient but it requires a large computation time [1, 2]. Consequently, it is of main interest to develop alternative asymptotic models in order to predict these flows more quickly. The purpose of this communication is to model the flow of a mixture of two compressible gases in a plane micro-channel with variable width ; its wall temperature depends on the longitudinal space variable. This work deals with flows at low Mach numbers and at low to moderate Knudsen numbers that correspond to the slip-flow regime. Under these assumptions, it is suitable to use the usual macroscopic balance laws of mass, momentum and energy (Navier-Stokes-Fourier equations) with additional coupling terms in the momentum and energy equations [3, 4, 5, 6]. The results of this asymptotic modeling are compared to DSMC simulations in the same configuration.
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Dates et versions

hal-03791885 , version 1 (12-10-2022)

Identifiants

  • HAL Id : hal-03791885 , version 1

Citer

Cédric Croizet, Renée Gatignol. Asymptotic Modelling of the Flow of a Thermal Binary Gas Mixture in a Microchannel with VariableWidth. 32nd International Symposium on Rarefied Gas Dynamics (RGD32), Jul 2022, Séoul, South Korea. ⟨hal-03791885⟩
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