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Mathematical modelling and experimental investigation of gas flow in minichannels and microchannels

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Abstract

The first part of this study is focused on the numerical modelling and experimental investigation of transonic flow through a 2D model of the male rotor-housing gap in a dry screw compressor. Numerical simulations of the clearance flow are performed with the help of the in-house compressible Navier-Stokes solver. Experimental measurements based on the Schlieren method in Toepler configuration are carried out. The objective of the second part of the study is to derive the analytical solution of gas microflow development in a gap between two parallel plates. The microflow is assumed to be laminar, incompressible and the velocity slip boundary conditions are considered at the walls. The constant velocity profile is prescribed at the inlet. For the mathematical description of the problem, the Oseen equation is used. The analytical results are compared with the numerical ones obtained using the developed incompressible Navier-Stokes solver including the slip flow boundary conditions.

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Authors and Affiliations

  1. Faculty of Applied Sciences, Department of Mechanics, University of West Bohemia, Univerzitní 22, CZ-306 14, Pilsen, Czech Republic

    Jan Vimmr & Marek Hajžman

  2. Faculty of Mechanical Engineering, Department of Power System Engineering, University of West Bohemia, Univerzitní 22, CZ-306 14, Pilsen, Czech Republic

    Hynek Klášterka

  3. Institute of Thermomechanics of Academy of Sciences of the Czech Republic, Department of Fluid Dynamics, Dolejškova 5, CZ-182 00, Prague, Czech Republic

    Martin Luxa & Rudolf Dvořák

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  1. Jan Vimmr
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  2. Hynek Klášterka
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  3. Marek Hajžman
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  4. Martin Luxa
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  5. Rudolf Dvořák
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Correspondence to Jan Vimmr.

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Vimmr, J., Klášterka, H., Hajžman, M. et al. Mathematical modelling and experimental investigation of gas flow in minichannels and microchannels. J. Therm. Sci. 19, 289–294 (2010). https://doi.org/10.1007/s11630-010-0385-x

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  • DOI: https://doi.org/10.1007/s11630-010-0385-x

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