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Suction/Injection Effects on the Swirling Flow of a Reiner-Rivlin Fluid near a Rough Surface


Affiliations
1 Department of Mathematics, National Institute of Technology Rourkela, Rourkela 769008, India
2 Universite de Sherbrooke, Sherbrooke, QC, J1K 2R1, Canada
3 Department of Mathematics, Luther College, University of Regina, Regina, SK, S4S 0A2, Canada
 

The similarity equations for the Bodewadt flow of a non-Newtonian Reiner-Rivlin fluid, subject to uniform suction/injection, are solved numerically.The conventional no-slip boundary conditions are replaced by corresponding partial slip boundary conditions, owing to the roughness of the infinite stationary disk.The combined effects of surface slip (𝜆), suction/injection velocity (𝑊), and cross-viscous parameter (𝐿) on the momentum boundary layer are studied in detail. It is interesting to find that suction dominates the oscillations in the velocity profiles and decreases the boundary layer thickness significantly. On the other hand, injection has opposite effects on the velocity profiles and the boundary layer thickness.
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  • Suction/Injection Effects on the Swirling Flow of a Reiner-Rivlin Fluid near a Rough Surface

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Authors

Bikash Sahoo
Department of Mathematics, National Institute of Technology Rourkela, Rourkela 769008, India
Sébastien Poncet
Universite de Sherbrooke, Sherbrooke, QC, J1K 2R1, Canada
Fotini Labropulu
Department of Mathematics, Luther College, University of Regina, Regina, SK, S4S 0A2, Canada

Abstract


The similarity equations for the Bodewadt flow of a non-Newtonian Reiner-Rivlin fluid, subject to uniform suction/injection, are solved numerically.The conventional no-slip boundary conditions are replaced by corresponding partial slip boundary conditions, owing to the roughness of the infinite stationary disk.The combined effects of surface slip (𝜆), suction/injection velocity (𝑊), and cross-viscous parameter (𝐿) on the momentum boundary layer are studied in detail. It is interesting to find that suction dominates the oscillations in the velocity profiles and decreases the boundary layer thickness significantly. On the other hand, injection has opposite effects on the velocity profiles and the boundary layer thickness.