Absolute and convective instabilities in double-diffusive two-fluid flow in a slippery channel

Ghosh, S and R, Usha and Sahu, K C (2015) Absolute and convective instabilities in double-diffusive two-fluid flow in a slippery channel. Chemical Engineering Science, 134. pp. 1-11. ISSN 0009-2509

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Abstract

Spatio-temporal instability of miscible two-fluid symmetric flow in a horizontal slippery channel is considered. Both fluids have the same density but different viscosity. A smooth viscosity stratification is created by a thin mixed layer between the fluids due to the presence of two species/scalars, which are diffusing at different rates. Our study suggests the existence of a rapidly growing absolute unstable mode for higher viscosity ratio with a highly viscous fluid close to the slippery channel wall. This instability is less stronger in the case of the equivalent single component two-fluid flow. The viscosity stratified single component (SC) and double-diffusive (DD) slippery flows are absolutely unstable for a wide range of parameter values, when a highly viscous fluid is adjacent to the slippery wall and the mixed layer is close to the channel wall with slip. The instability can be either enhanced or suppressed by wall slip and this is dependent on the location of mixed layer, inertial effects, diffusivity and the log-mobility ratios of the faster and slower diffusing species. This suggests that one can achieve early transition to turbulence due to the absolute instability in a viscosity stratified channel flow by making the channel walls hydrophobic/rough/porous with small permeability, which can be modelled by the Navier-slip condition.

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IITH Creators:
IITH CreatorsORCiD
Sahu, K Chttp://orcid.org/0000-0002-7357-1141
Item Type: Article
Uncontrolled Keywords: Laminar flow; Mixing; Stability; Fluid mechanics; Hydrodynamics; Multiphase flow
Subjects: Chemical Engineering > Biochemical Engineering
Divisions: Department of Chemical Engineering
Depositing User: Team Library
Date Deposited: 25 May 2015 06:27
Last Modified: 07 Jul 2017 09:54
URI: http://raiith.iith.ac.in/id/eprint/1522
Publisher URL: https://doi.org/10.1016/j.ces.2015.04.049
OA policy: http://www.sherpa.ac.uk/romeo/issn/0009-2509/
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