2009 journal article

Instability of a slip flow in a curved channel formed by two concentric cylindrical surfaces

EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 28(6), 722–727.

By: A. Avramenko & A. Kuznetsov

co-author countries: Ukraine 🇺🇦 United States of America 🇺🇸
author keywords: Slip flow; Curved microchannel; Linear instability analysis; Taylor number; Dean number
Source: Web Of Science
Added: August 6, 2018

Instability of a slip flow in a curved channel formed by two concentric cylindrical surfaces is investigated. Two cases are considered. In the first (Taylor–Couette flow) case the flow is driven by the rotation of the inner cylindrical surface; no azimuthal pressure gradient is applied. In the second case (Dean flow) both cylindrical surfaces are motionless, and the flow is driven by a constant azimuthal pressure gradient. The collocation method is used to find numerically the critical values of the Taylor and Dean numbers, which establish the instability criteria for these two cases. The dependencies of critical values of these numbers on the ratio between the radii of concave and convex walls and on the velocity slip coefficient are investigated.