THE INSTABILITY OF SLIPPING FLOW IN A CURVILINEAR POROUS MICROCHANNEL


  • Y.Y. Kovetska Institute of Engineering Thermophysics of the National Academy of Sciences of Ukraine, vul. Zhelyabova, 2a, Kyiv, 03680 Ukraine
  • A.I. Skitsko Institute of Engineering Thermophysics of the National Academy of Sciences of Ukraine, vul. Zhelyabova, 2a, Kyiv, 03680 Ukraine
  • T.V. Sorokina Institute of Engineering Thermophysics of the National Academy of Sciences of Ukraine, vul. Zhelyabova, 2a, Kyiv, 03680 Ukraine
Keywords: instability of flow, permeability, critical Dean number

Abstract

The hydrodynamic instability of flow with slippage in a curvilinear porous microchannel between two stationary concentric cylinders is investigated. Unperturbed velocity profiles for a flow with slip are obtained. The problem of linear instability is solved numerically, using the collocation method.

Calculations showed that an increase in the coefficient of slippage, the porosity of the medium and the width of the channel leads to an increase in the occupancy of the velocity profile of the undisturbed flow (the profile becomes more flat). This, in turn, leads to an increase in the critical values of Dean number and the critical wave length of the perturbation, which determine the instability criteria for the flow. It is also shown that for σ> 0 the dependences of the critical Dean number on the parameter η have a minimum observed at η = 0.5. With decrease in channel width and permeability, this effect is leveled.

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Published
2018-09-07
How to Cite
Kovetska, Y., Skitsko, A., & Sorokina, T. (2018). THE INSTABILITY OF SLIPPING FLOW IN A CURVILINEAR POROUS MICROCHANNEL. Thermophysics and Thermal Power Engineering, 40(3), 20-26. https://doi.org/https://doi.org/10.31472/ihe.3.2018.03
Section
Heat and Mass Transfer Processes and Equipment, Theory and Practice of Drying