Effect of spin slip conditions on Couette-Poiseuille flow of couple stress fluid between parallel plates
In the current paper, we investigate the effect of spin slip conditions for the Couette-Poiseuille flow of a couple stress fluid between two parallel plates. In the study, the motion of the fluid is considered to be steady, incompressible and unidirectional. At the interface between the fluid and th...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of West Bohemia
2024-12-01
|
| Series: | Applied and Computational Mechanics |
| Subjects: | |
| Online Access: | https://acm.kme.zcu.cz/acm/article/view/912 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850084286851448832 |
|---|---|
| author | Nishad S. Madasu K. P. |
| author_facet | Nishad S. Madasu K. P. |
| author_sort | Nishad S. |
| collection | DOAJ |
| description | In the current paper, we investigate the effect of spin slip conditions for the Couette-Poiseuille flow of a couple stress fluid between two parallel plates. In the study, the motion of the fluid is considered to be steady, incompressible and unidirectional. At the interface between the fluid and the plates (both the upper and lower), we consider the non-zero tangential and couple stress spin slip relationships as boundary conditions. We present analytical expressions for the velocity profile, volume flow rate, vorticity, and couple stresses. This paper discusses the numerical influence of the spin slip parameter, velocity slip parameter, couple stress parameter, and pressure gradient on the velocity, vorticity, couple stresses, and volume flow rate. Our results show that the presence of the spin slip parameter reduces the velocity, couple stress and volume flow rate of the fluid, while it enhances the vorticity. The limiting cases for each problem align well with previously published results regarding the vanishing of couple stresses at the boundaries. This research helps both researchers and engineers in understanding how to control the conditions to achieve an efficient fluid flow, particularly in applications involving couple stress effects, such as microfluidics systems, lubrication technology, and polymeric suspensions. |
| format | Article |
| id | doaj-art-b2475ed0eb0449728fa36d9cb9cf7c41 |
| institution | DOAJ |
| issn | 1802-680X 2336-1182 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | University of West Bohemia |
| record_format | Article |
| series | Applied and Computational Mechanics |
| spelling | doaj-art-b2475ed0eb0449728fa36d9cb9cf7c412025-08-20T02:44:07ZengUniversity of West BohemiaApplied and Computational Mechanics1802-680X2336-11822024-12-0118217518810.24132/acm.2024.912Effect of spin slip conditions on Couette-Poiseuille flow of couple stress fluid between parallel platesNishad S.0Madasu K. P.1National Institute of Technology Raipur, Department of Mathematics, Chhattisgarh, IndiaNational Institute of Technology Raipur, Department of Mathematics, Chhattisgarh, IndiaIn the current paper, we investigate the effect of spin slip conditions for the Couette-Poiseuille flow of a couple stress fluid between two parallel plates. In the study, the motion of the fluid is considered to be steady, incompressible and unidirectional. At the interface between the fluid and the plates (both the upper and lower), we consider the non-zero tangential and couple stress spin slip relationships as boundary conditions. We present analytical expressions for the velocity profile, volume flow rate, vorticity, and couple stresses. This paper discusses the numerical influence of the spin slip parameter, velocity slip parameter, couple stress parameter, and pressure gradient on the velocity, vorticity, couple stresses, and volume flow rate. Our results show that the presence of the spin slip parameter reduces the velocity, couple stress and volume flow rate of the fluid, while it enhances the vorticity. The limiting cases for each problem align well with previously published results regarding the vanishing of couple stresses at the boundaries. This research helps both researchers and engineers in understanding how to control the conditions to achieve an efficient fluid flow, particularly in applications involving couple stress effects, such as microfluidics systems, lubrication technology, and polymeric suspensions.https://acm.kme.zcu.cz/acm/article/view/912couette flowpoiseuille flowgeneralized couette flowcouple stress fluidexact solutionsspin slip effect |
| spellingShingle | Nishad S. Madasu K. P. Effect of spin slip conditions on Couette-Poiseuille flow of couple stress fluid between parallel plates Applied and Computational Mechanics couette flow poiseuille flow generalized couette flow couple stress fluid exact solutions spin slip effect |
| title | Effect of spin slip conditions on Couette-Poiseuille flow of couple stress fluid between parallel plates |
| title_full | Effect of spin slip conditions on Couette-Poiseuille flow of couple stress fluid between parallel plates |
| title_fullStr | Effect of spin slip conditions on Couette-Poiseuille flow of couple stress fluid between parallel plates |
| title_full_unstemmed | Effect of spin slip conditions on Couette-Poiseuille flow of couple stress fluid between parallel plates |
| title_short | Effect of spin slip conditions on Couette-Poiseuille flow of couple stress fluid between parallel plates |
| title_sort | effect of spin slip conditions on couette poiseuille flow of couple stress fluid between parallel plates |
| topic | couette flow poiseuille flow generalized couette flow couple stress fluid exact solutions spin slip effect |
| url | https://acm.kme.zcu.cz/acm/article/view/912 |
| work_keys_str_mv | AT nishads effectofspinslipconditionsoncouettepoiseuilleflowofcouplestressfluidbetweenparallelplates AT madasukp effectofspinslipconditionsoncouettepoiseuilleflowofcouplestressfluidbetweenparallelplates |