Impact of permeability and fluid parameters in couple stress media on rotating eccentric spheres
This study elucidates the axisymmetric rotation of two eccentric spheres immersed in an incompressible couple stress fluid within a porous annular region. The investigation incorporates boundary conditions applied to the surfaces of both spheres, which rotate axially at differing angular velocities....
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| Language: | English |
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De Gruyter
2024-12-01
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| Series: | Open Physics |
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| Online Access: | https://doi.org/10.1515/phys-2024-0112 |
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| author | Al-Hanaya Amal El-Sapa Shreen |
| author_facet | Al-Hanaya Amal El-Sapa Shreen |
| author_sort | Al-Hanaya Amal |
| collection | DOAJ |
| description | This study elucidates the axisymmetric rotation of two eccentric spheres immersed in an incompressible couple stress fluid within a porous annular region. The investigation incorporates boundary conditions applied to the surfaces of both spheres, which rotate axially at differing angular velocities. Utilizing a collocation scheme alongside a semi-analytical approach under the assumption of low Reynolds numbers, this research delves into the hydrodynamic couple force (torque) exerted by the Brinkman couple stress fluid on the interior sphere. The analysis reveals that the dimensionless torque becomes increasingly significant as permeability enhances the size ratio, couple stress fluid parameters, and separation distance. The computed torque values due to stress and couple stress are presented graphically, providing visual clarity to the findings. Additionally, all the results align closely with the numerical analysis of two eccentric rigid spheres in conventional couple stress fluids, devoid of permeability effects or slip conditions, as demonstrated in previous studies (Al-Hanaya and El-Sapa (Effects of slippage and permeability of couple stress fluid squeezed between two concentric rotating spheres. Phys Fluids. 2023;35:103112); Al-Hanaya et al. (Axisymmetric motion of an incompressible couple stress fluid between two eccentric rotating spheres. J Appl Mech Tech Phys. 2022;63(5):1–9)). |
| format | Article |
| id | doaj-art-d3f40eef764147588cd3d4c983ad3b9b |
| institution | Kabale University |
| issn | 2391-5471 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Physics |
| spelling | doaj-art-d3f40eef764147588cd3d4c983ad3b9b2025-01-14T14:22:23ZengDe GruyterOpen Physics2391-54712024-12-0122110091610.1515/phys-2024-0112Impact of permeability and fluid parameters in couple stress media on rotating eccentric spheresAl-Hanaya Amal0El-Sapa Shreen1Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaDepartment of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaThis study elucidates the axisymmetric rotation of two eccentric spheres immersed in an incompressible couple stress fluid within a porous annular region. The investigation incorporates boundary conditions applied to the surfaces of both spheres, which rotate axially at differing angular velocities. Utilizing a collocation scheme alongside a semi-analytical approach under the assumption of low Reynolds numbers, this research delves into the hydrodynamic couple force (torque) exerted by the Brinkman couple stress fluid on the interior sphere. The analysis reveals that the dimensionless torque becomes increasingly significant as permeability enhances the size ratio, couple stress fluid parameters, and separation distance. The computed torque values due to stress and couple stress are presented graphically, providing visual clarity to the findings. Additionally, all the results align closely with the numerical analysis of two eccentric rigid spheres in conventional couple stress fluids, devoid of permeability effects or slip conditions, as demonstrated in previous studies (Al-Hanaya and El-Sapa (Effects of slippage and permeability of couple stress fluid squeezed between two concentric rotating spheres. Phys Fluids. 2023;35:103112); Al-Hanaya et al. (Axisymmetric motion of an incompressible couple stress fluid between two eccentric rotating spheres. J Appl Mech Tech Phys. 2022;63(5):1–9)).https://doi.org/10.1515/phys-2024-0112numerical methodinteraction: couple stress fluidpermeabilitytorque |
| spellingShingle | Al-Hanaya Amal El-Sapa Shreen Impact of permeability and fluid parameters in couple stress media on rotating eccentric spheres Open Physics numerical method interaction: couple stress fluid permeability torque |
| title | Impact of permeability and fluid parameters in couple stress media on rotating eccentric spheres |
| title_full | Impact of permeability and fluid parameters in couple stress media on rotating eccentric spheres |
| title_fullStr | Impact of permeability and fluid parameters in couple stress media on rotating eccentric spheres |
| title_full_unstemmed | Impact of permeability and fluid parameters in couple stress media on rotating eccentric spheres |
| title_short | Impact of permeability and fluid parameters in couple stress media on rotating eccentric spheres |
| title_sort | impact of permeability and fluid parameters in couple stress media on rotating eccentric spheres |
| topic | numerical method interaction: couple stress fluid permeability torque |
| url | https://doi.org/10.1515/phys-2024-0112 |
| work_keys_str_mv | AT alhanayaamal impactofpermeabilityandfluidparametersincouplestressmediaonrotatingeccentricspheres AT elsapashreen impactofpermeabilityandfluidparametersincouplestressmediaonrotatingeccentricspheres |