Impact of slippage on the wall correction rotation factor of MHD couple stress fluid between two concentric spheres
The creeping rotational motion of a magnetohydrodynamic couple stress fluid between two concentric spheres under the impact of slippages. The slippage conditions are applied on the surface of the inside sphere. In addition, the couple stresses on the boundary are assumed to vanish. The analytical so...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-12-01
|
| Series: | Results in Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S259012302300590X |
| _version_ | 1827578684656058368 |
|---|---|
| author | Amal Al-Hanaya Shreen El-Sapa |
| author_facet | Amal Al-Hanaya Shreen El-Sapa |
| author_sort | Amal Al-Hanaya |
| collection | DOAJ |
| description | The creeping rotational motion of a magnetohydrodynamic couple stress fluid between two concentric spheres under the impact of slippages. The slippage conditions are applied on the surface of the inside sphere. In addition, the couple stresses on the boundary are assumed to vanish. The analytical solution to the problem is used to obtain the field functions of velocity, tangential stress, and couple stresses. The wall correction factor experienced by the fluid on the inner solid sphere is evaluated and plotted. However, in the presence of a magnetic field, the eddy current caused by rotating particles produces a torque that tends to rise because the assumption of the torque direction is the opposite direction of magnetic induction. Also, the first couple stress parameter, the angular velocity ratio, and slip condition did an improvement in the torque. On the other side, the wall correction factor slows down with slippage on the inner sphere and the size parameter. All results give limiting cases with no slippage and viscous fluid. |
| first_indexed | 2024-03-08T21:49:59Z |
| format | Article |
| id | doaj.art-5fb83a92b19c411b92ffbe6c1414e873 |
| institution | Directory Open Access Journal |
| issn | 2590-1230 |
| language | English |
| last_indexed | 2024-03-08T21:49:59Z |
| publishDate | 2023-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Engineering |
| spelling | doaj.art-5fb83a92b19c411b92ffbe6c1414e8732023-12-20T07:35:49ZengElsevierResults in Engineering2590-12302023-12-0120101463Impact of slippage on the wall correction rotation factor of MHD couple stress fluid between two concentric spheresAmal Al-Hanaya0Shreen El-Sapa1Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Damanhour University, Damanhour, Egypt; Corresponding author.The creeping rotational motion of a magnetohydrodynamic couple stress fluid between two concentric spheres under the impact of slippages. The slippage conditions are applied on the surface of the inside sphere. In addition, the couple stresses on the boundary are assumed to vanish. The analytical solution to the problem is used to obtain the field functions of velocity, tangential stress, and couple stresses. The wall correction factor experienced by the fluid on the inner solid sphere is evaluated and plotted. However, in the presence of a magnetic field, the eddy current caused by rotating particles produces a torque that tends to rise because the assumption of the torque direction is the opposite direction of magnetic induction. Also, the first couple stress parameter, the angular velocity ratio, and slip condition did an improvement in the torque. On the other side, the wall correction factor slows down with slippage on the inner sphere and the size parameter. All results give limiting cases with no slippage and viscous fluid.http://www.sciencedirect.com/science/article/pii/S259012302300590XMagnetic fieldHartmann numberConcentric spheresCouple stress fluidSlippage |
| spellingShingle | Amal Al-Hanaya Shreen El-Sapa Impact of slippage on the wall correction rotation factor of MHD couple stress fluid between two concentric spheres Results in Engineering Magnetic field Hartmann number Concentric spheres Couple stress fluid Slippage |
| title | Impact of slippage on the wall correction rotation factor of MHD couple stress fluid between two concentric spheres |
| title_full | Impact of slippage on the wall correction rotation factor of MHD couple stress fluid between two concentric spheres |
| title_fullStr | Impact of slippage on the wall correction rotation factor of MHD couple stress fluid between two concentric spheres |
| title_full_unstemmed | Impact of slippage on the wall correction rotation factor of MHD couple stress fluid between two concentric spheres |
| title_short | Impact of slippage on the wall correction rotation factor of MHD couple stress fluid between two concentric spheres |
| title_sort | impact of slippage on the wall correction rotation factor of mhd couple stress fluid between two concentric spheres |
| topic | Magnetic field Hartmann number Concentric spheres Couple stress fluid Slippage |
| url | http://www.sciencedirect.com/science/article/pii/S259012302300590X |
| work_keys_str_mv | AT amalalhanaya impactofslippageonthewallcorrectionrotationfactorofmhdcouplestressfluidbetweentwoconcentricspheres AT shreenelsapa impactofslippageonthewallcorrectionrotationfactorofmhdcouplestressfluidbetweentwoconcentricspheres |