For certain values of the material parameters, certain viscoelastic fluid models allow for a nonmonotonic relationship between the shear stress and shear rate in simple flows. We consider channel flow of such a fluid, the Johnson-Segalman liquid, subjected to exothermic reactions. A numerical algorithm based on the finite difference method is implemented in time and space for the solution process of the highly nonlinear governing equations. The phenomenon of shear banding is observed and explained in terms of the jump discontinuities in shear rates. We demonstrate that for a reacting Johnson-Segalman fluid, the shear banding can be catastrophic as it leads to large temperature buildup within the fluid and hence makes it easily susceptible, say, to thermal runaway. We also demonstrate that the shear banding can be eliminated by making the walls porous and hence allowing for suction and injection. The suction/injection flow is shown to significantly decrease fluid temperatures for the nonmonotonic viscoelastic Johnson-Segalman model but leads to significant temperature increases for the monotonic viscoelastic Oldroyd-B model.
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July 2011
Research Papers
Suction-Injection Control of Shear Banding in Non-Isothermal and Exothermic Channel Flow of Johnson-Segalman Liquids
T. Chinyoka
T. Chinyoka
Center for Research in Computational and Applied Mechanics,
University of Cape Town
, Private Bag X3, Rondebosch 7701, South Africa
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T. Chinyoka
Center for Research in Computational and Applied Mechanics,
University of Cape Town
, Private Bag X3, Rondebosch 7701, South Africa
e-mail: J. Fluids Eng. Jul 2011, 133(7): 071205 (12 pages)
Published Online: July 22, 2011
Article history
Received:
January 25, 2011
Revised:
June 1, 2011
Online:
July 22, 2011
Published:
July 22, 2011
Citation
Chinyoka, T. (July 22, 2011). "Suction-Injection Control of Shear Banding in Non-Isothermal and Exothermic Channel Flow of Johnson-Segalman Liquids." ASME. J. Fluids Eng. July 2011; 133(7): 071205. https://doi.org/10.1115/1.4004363
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