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

Full text not available from this repository. (Request a copy)


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.

[error in script]
IITH Creators:
IITH CreatorsORCiD
Sahu, Kirti Chandra
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
Publisher URL:
OA policy:
Related URLs:

Actions (login required)

View Item View Item
Statistics for RAIITH ePrint 1901 Statistics for this ePrint Item