Stability of Plane Channel Flow With Viscous Heating

Sahu, K C and Matar, O K (2010) Stability of Plane Channel Flow With Viscous Heating. Journal of Fluids Engineering, 132 (1). 7 pp.. ISSN 0098-2202

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The linear stability analysis of pressure-driven flow undergoing viscous heating through a channel is considered. The walls of the channel are maintained at different constant temperatures and Nahme’s law is applied to model the temperature dependence of the fluid viscosity. A modified Orr–Sommerfeld equation coupled with a linearized energy equation is derived and solved using an efficient spectral collocation method. Our results indicate that increasing the influence of viscous heating is destabilizing. It is also shown that the critical Reynolds number decreases by one order of magnitude with increase in the Nahme number. An energy analysis is conducted to understand the underlying physical mechanism of the instability.

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Item Type: Article
Additional Information: The authors acknowledge the fruitful discussions with Professor Rama Govindarajan. K.S. thanks Uttam Doraswami, Francesco Coletti, and Lennon Ó Náraigh of Imperial College London for their help and encouragement. We also thank the EPSRC for their support through Grant Nos. EP/E046029/1 and EP/D503051 and the DTI through Grant No. TP//ZEE/6/1/21191.
Subjects: Chemical Engineering > Biochemical Engineering
Divisions: Department of Chemical Engineering
Depositing User: Team Library
Date Deposited: 09 Mar 2015 10:55
Last Modified: 09 Mar 2015 10:55
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