Temporal linear stability analysis of an entry flow in a channel with viscous heating

Srivastava, H and Dalal, A and Sahu, K C and Biswas, G (2017) Temporal linear stability analysis of an entry flow in a channel with viscous heating. International Journal of Heat and Mass Transfer, 109. pp. 922-929. ISSN 0017-9310

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Abstract

A non-isothermal flow in the entry region of a straight channel in the presence of viscous heating is investigated via direct numerical simulations and a temporal linear stability analysis. Initially, the system is maintained at an isothermal state. As the time progresses, the temperature near the channel walls increases, which in turn decreases the viscosity of the working fluid. This resulting viscosity-stratification in the flow gives rise to an unexpected stability behavior. From the linear stability analysis, we found that viscous heating has a destabilising influence, and the flow becomes linearly unstable to infinitesimal small disturbance near the developing region of the channel. We also found that increasing the Reynolds number and decreasing the Prandtl number enhance the instability behavior. For the parameter values considered, the Grashof number does not change the stability characteristics qualitatively. These findings may be relevant to several industrial applications, such as lubrication, tribology, food processing, instrumentation, and polymer processing, to name a few.

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IITH Creators:
IITH CreatorsORCiD
Sahu, K Chttp://orcid.org/0000-0002-7357-1141
Item Type: Article
Subjects: Chemical Engineering > Biochemical Engineering
Divisions: Department of Chemical Engineering
Depositing User: Team Library
Date Deposited: 20 Mar 2017 04:33
Last Modified: 07 Jul 2017 07:39
URI: http://raiith.iith.ac.in/id/eprint/3097
Publisher URL: https://doi.org/10.1016/j.ijheatmasstransfer.2017....
OA policy: http://www.sherpa.ac.uk/romeo/issn/0017-9310/
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