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

Sahu, Kirti Chandra (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 Creators	ORCiD
Sahu, Kirti Chandra	http://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:

15 May 2018 08:54

URI:

http://raiithold.iith.ac.in/id/eprint/560