Volume 111, Number 1, July 2015
|Number of page(s)||6|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||27 July 2015|
On stability of Poiseuille flow in grooved channels
1 Khristianovich Institute of Theoretical and Applied Mechanics, Russian Academy of Sciences 4/1 Institutskaya str., Novosibirsk 630090, Russia
2 Tyumen State Oil and Gas University - 56 Volodarskogo str., Tyumen 625000, Russia
3 Keldysh Institute of Applied Mathematics, Russian Academy of Sciences - 4 Miusskaya sq., Moscow 125047, Russia
4 Institute of Numerical Mathematics, Russian Academy of Sciences - 8 Gubkina str., Moscow 119333, Russia
Received: 7 May 2015
Accepted: 26 June 2015
The stability of Poiseuille flow in channels with walls grooved in the streamwise direction is investigated numerically. In the framework of physically justified scaling of velocity and length, an analysis of energy and linear critical Reynolds numbers was carried out in a practically important range of groove heights, sharpness and spacing. It is shown that there are such values of these parameters that both critical Reynolds numbers are higher than those for the flow in plane channel.
PACS: 47.15.Fe – Stability of laminar flows / 47.20.Ft – Instability of shear flows (e.g., Kelvin-Helmholtz) / 47.15.Rq – Laminar flows in cavities, channels, ducts, and conduits
© EPLA, 2015
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