Global linear instability of flow through a converging-diverging channel

Jotkar, M R and Swaminathan, G and Sahu, Kirti Chandra and Govindarajan, R (2016) Global linear instability of flow through a converging-diverging channel. Journal of Fluids Engineering, 138 (3). 031301-1. ISSN 0098-2202

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Abstract

The global linear stability, where we assume no homogeneity in either of the spatial directions, of a two-dimensional laminar base flow through a spatially periodic converging-diverging channel is studied at low Reynolds numbers. A large converging-diverging angle is used, to achieve critical Reynolds numbers of the first instability of below $10$. These values are significantly lower than those reported earlier at smaller amplitudes of wall waviness. The leading disturbance mode is seen to be a symmetry-breaking stationary mode thus leading to a pitchfork type of bifurcation. The eigenspectrum has a branched structure, with modes on the upper branch displaying a variety of structures. Our global stability study suggests that such modes can be tailored to give enhanced mixing in micro channels at low Reynolds numbers.

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IITH Creators:	IITH Creators ORCiD Sahu, Kirti Chandra http://orcid.org/0000-0002-7357-1141
Item Type:	Article
Additional Information:	We acknowledge the anonymous referees for their valuable comments.
Uncontrolled Keywords:	Flow (Dynamics) , Reynolds number , Stability , Bifurcation , Microchannels
Subjects:	Chemical Engineering > Biochemical Engineering
Divisions:	Department of Chemical Engineering
Depositing User:	Team Library
Date Deposited:	01 Sep 2015 04:53
Last Modified:	10 May 2018 11:58
URI:	http://raiithold.iith.ac.in/id/eprint/1901
Publisher URL:	https://doi.org/10.1115/1.4031429
OA policy:	http://www.sherpa.ac.uk/romeo/issn/0098-2202/
Related URLs:	Google Scholar

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