The instability of flow through a slowly diverging pipe with viscous heating

Sahu, K C (2011) The instability of flow through a slowly diverging pipe with viscous heating. Journal of Fluids Engineering, 133 (7). pp. 1-8. ISSN 0098-2202

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Abstract

The nonparallel linear stability analysis of flow through a slowly diverging pipe undergoing viscous heating is considered. The pipe wall is maintained at constant temperatures and Nahme's law is applied to model the temperature dependence of the fluid viscosity. A one-parameter family of velocity profiles for the basic state is obtained for small angles of divergence. The nonparallel stability equations for the disturbance velocity coupled to a linearized energy equation are derived and solved using a spectral collocation method. Our results indicate that increasing viscous heating, characterized by increasing Nahme number, is destabilizing. The Prandtl number has a negligible effect on the linear stability characteristics. The Grashof number stablizes the flow for Gr > 10 6, below which it has a negligible effect.

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IITH Creators:
IITH CreatorsORCiD
Sahu, K Chttp://orcid.org/0000-0002-7357-1141
Item Type: Article
Uncontrolled Keywords: Constant temperature; Energy equation; Flowthrough; Fluid viscosity; Linear Stability; One parameter family; Pipe walls; Spectral collocation method; Stability equations; Temperature dependence; Velocity profiles; Viscous heating
Subjects: Chemical Engineering > Biochemical Engineering
Chemical Engineering > Technology of industrial chemicals
Divisions: Department of Chemical Engineering
Depositing User: Team Library
Date Deposited: 30 Oct 2014 09:39
Last Modified: 11 Jul 2017 03:50
URI: http://raiith.iith.ac.in/id/eprint/560
Publisher URL: https://doi.org/10.1115/1.4004299
OA policy: http://www.sherpa.ac.uk/romeo/issn/0098-2202/
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