Three-Dimensional Couette Flow of a Second-Grade Fluid Along Periodic Injection/Suction
Abstract
:1. Introduction
2. Problem Description
3. Formulation of the Problem
4. Solution
4.1. Cross Flow Solution
4.2. Main Flow Solution
4.3. Shear Stress Components
4.4. Pressure
5. Results
6. Closing Remarks
- The Reynolds number and injection/suction parameter cause a reduction in main flow velocity. On the contrary, elastic parameter enhances main flow velocity.
- The transverse velocity components v and w have increasing trend with increasing injection/suction parameter. On the other hand, an opposite trend of these velocity components is noted with Reynolds number and non-Newtonian parameter.
- The elastic parameter enhances the main flow velocity profile.
- Reynolds number provides a system to stable the shear stress components.
- This study gives a better outcome as changing injection/suction velocity is assumed at both plates as in natural practice injection/suction cannot be constant in all cases.
- Viscous results in the absence of Magnetohydrodynamic (MHD) effect [12] are recovered when K = 0.
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
Appendix A
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Afzal Rana, M.; Ali, Y.; Ahmad, B.; Afzal Rana, M.T. Three-Dimensional Couette Flow of a Second-Grade Fluid Along Periodic Injection/Suction. Coatings 2019, 9, 553. https://doi.org/10.3390/coatings9090553
Afzal Rana M, Ali Y, Ahmad B, Afzal Rana MT. Three-Dimensional Couette Flow of a Second-Grade Fluid Along Periodic Injection/Suction. Coatings. 2019; 9(9):553. https://doi.org/10.3390/coatings9090553
Chicago/Turabian StyleAfzal Rana, Muhammad, Yasar Ali, Babar Ahmad, and Muhammad Touseef Afzal Rana. 2019. "Three-Dimensional Couette Flow of a Second-Grade Fluid Along Periodic Injection/Suction" Coatings 9, no. 9: 553. https://doi.org/10.3390/coatings9090553