Couple Stress Fluid Flow Through a Porous Media Past A Solid Sphere
DOI:
https://doi.org/10.18311/jmmf/2023/36047Keywords:
Continuity Equation, Couple Stress Parameter, PorosityAbstract
A steady, two-dimensional, incompressible couple stress fluid flow over a rigid sphere of radius ‘a’ surrounded by infinite porous region specifying a constant velocity away from the boundary is considered. An exact solution is found for the governing equations which leads to the expression for the stream function and shearing stress. The impact of couple stress parameter and porosity on the flow patterns is examined through streamlines. Also shear stress is computed for various values of couple- stress parameter and porous parameter. The obtained results reveal that as coupling stress parameter increases for fixing the porosity, streamlines are symmetric and meandered near the rigid sphere. But for fixed coupling stress parameter and increase in porous parameter cause the streamlines to move away from the solid sphere. Also, the dimensionless shear stress increases as couple-stress parameter intensifies for fixed porous parameter and vanishes at two stagnation points. The amplitude of the shearing stress raises with raise in porous parameter for fixed coupling stress parameter.
Downloads
Metrics
Downloads
Published
How to Cite
Issue
Section
License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
References
Eringen AC. Simple microfluids. Int J Eng Sci. 1964; 2(2):205-217. DOI: https://doi.org/10.1016/0020-7225(64)90005-9
Stokes VK. Couple-stresses in fluids - The Phy. Fluids. 1966; 9:1709. DOI: https://doi.org/10.1063/1.1761925
Sai Lakshmi Radhika T, Iyengar TKV. Proceedings of International Multiconference of Engineers & Computer Scientists; Hong Kong. 2010; III, March 17–19.
Devakar M, Sreenivasu D, Sahnkar B. Analytical solutions of couple stress fluid flows with slip boundary conditions. Alexandria Engineering Journal. 2014; 53(3):723-730. DOI: https://doi.org/10.1016/j.aej.2014.06.005
Ashmawy EA. Drag on a slip spherical particle moving in a couple stress fluid. Alexandria Engineering Journal. 2016; 55:1159-1164. DOI: https://doi.org/10.1016/j.aej.2016.03.032
Aparna P, Ramana Murthy JV, Nagaraju G. Couple on a rotating permeable sphere in a couple stress fluid. Ain Shams Engineering Journal. 2018; 9(4):665-673. DOI: https://doi.org/10.1016/j.asej.2016.03.012
Shehadeh, Tarek & Ashmawy, Emad. Rotary oscillations of a rigid sphere in a couple stress fluid. BAU Journal- Science & Technology. 2019; 1(1):article 8. DOI: https://doi.org/10.54729/2959-331X.1009
Madasu KP, Sarkar P. Couple stress fluid past a sphere embedded in a porous medium. Archive of Mechanical Engineering. 2022; 69(1):5-19. DOI: https://doi.org/10.24425/ame.2021.139314
Alsudais NS, El-Sapa S, Ashmawy EA. Stokes flow of an incompressible couple stress fluid confined between two eccentric spheres. European Journal of Mechanics – B/ Fluids. 2022; 91:244-252. DOI: https://doi.org/10.1016/j.euromechflu.2021.10.011
Aparna P, Padmaja P, Pothanna N, Ramana Murthy JV. Couple stress fluid flow due to slow steady oscillations of a permeable sphere. Nonlinear Engineering. 2020; 9:352-360. DOI: https://doi.org/10.1515/nleng-2020-0021
Geetha Vani V, Ravi Kanth ASV. Oscillating flow of an incompressible couple stress fluid generated by the rotatory oscillations of two concentric spheres. AIP Conference Proceedings. 2020; 2277, 030020. DOI: https://doi.org/10.1063/5.0025631
Palaiah SS, Basha H, Reddy GJ. Magnetized couple stress fluid flow past a vertical cylinder under thermal radiations and viscous dissipation effects. Nonlinear Engineering. 2021; 10:343-362. DOI: https://doi.org/10.1515/nleng-2021-0027