Leveraging Elasticity to Uncover the Role of Rabinowitsch Suspension through a Wavelike Conduit: Consolidated Blood Suspension Application
The present work presents a mathematical investigation of a Rabinowitsch suspension fluid through elastic walls with heat transfer under the effect of electroosmotic forces (EOFs). The governing equations contain empirical stress-strain equations of the Rabinowitsch fluid model and equations of flui...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-08-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/16/2008 |
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| author | Sara I. Abdelsalam Abdullah Z. Zaher |
| author_facet | Sara I. Abdelsalam Abdullah Z. Zaher |
| author_sort | Sara I. Abdelsalam |
| collection | DOAJ |
| description | The present work presents a mathematical investigation of a Rabinowitsch suspension fluid through elastic walls with heat transfer under the effect of electroosmotic forces (EOFs). The governing equations contain empirical stress-strain equations of the Rabinowitsch fluid model and equations of fluid motion along with heat transfer. It is of interest in this work to study the effects of EOFs, which are rigid spherical particles that are suspended in the Rabinowitsch fluid, the Grashof parameter, heat source, and elasticity on the shear stress of the Rabinowitsch fluid model and flow quantities. The solutions are achieved by taking long wavelength approximation with the creeping flow system. A comparison is set between the effect of pseudoplasticity and dilatation on the behaviour of shear stress, axial velocity, and pressure rise. Physical behaviours have been graphically discussed. It was found that the Rabinowitsch and electroosmotic parameters enhance the shear stress while they reduce the pressure gradient. A biomedical application to the problem is presented. The present analysis is particularly important in biomedicine and physiology. |
| first_indexed | 2024-03-10T08:37:31Z |
| format | Article |
| id | doaj.art-d46c5b14c1894b798c812cebbffaea2c |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T08:37:31Z |
| publishDate | 2021-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-d46c5b14c1894b798c812cebbffaea2c2023-11-22T08:35:10ZengMDPI AGMathematics2227-73902021-08-01916200810.3390/math9162008Leveraging Elasticity to Uncover the Role of Rabinowitsch Suspension through a Wavelike Conduit: Consolidated Blood Suspension ApplicationSara I. Abdelsalam0Abdullah Z. Zaher1Basic Science, Faculty of Engineering, The British University in Egypt, Al-Shorouk City, Cairo 11837, EgyptEngineering Mathematics and Physics Department, Faculty of Engineering, Shubra-Benha University, Cairo 11629, EgyptThe present work presents a mathematical investigation of a Rabinowitsch suspension fluid through elastic walls with heat transfer under the effect of electroosmotic forces (EOFs). The governing equations contain empirical stress-strain equations of the Rabinowitsch fluid model and equations of fluid motion along with heat transfer. It is of interest in this work to study the effects of EOFs, which are rigid spherical particles that are suspended in the Rabinowitsch fluid, the Grashof parameter, heat source, and elasticity on the shear stress of the Rabinowitsch fluid model and flow quantities. The solutions are achieved by taking long wavelength approximation with the creeping flow system. A comparison is set between the effect of pseudoplasticity and dilatation on the behaviour of shear stress, axial velocity, and pressure rise. Physical behaviours have been graphically discussed. It was found that the Rabinowitsch and electroosmotic parameters enhance the shear stress while they reduce the pressure gradient. A biomedical application to the problem is presented. The present analysis is particularly important in biomedicine and physiology.https://www.mdpi.com/2227-7390/9/16/2008elasticityelectroosmotic forcesheat transferRabinowitsch fluidsuspension |
| spellingShingle | Sara I. Abdelsalam Abdullah Z. Zaher Leveraging Elasticity to Uncover the Role of Rabinowitsch Suspension through a Wavelike Conduit: Consolidated Blood Suspension Application Mathematics elasticity electroosmotic forces heat transfer Rabinowitsch fluid suspension |
| title | Leveraging Elasticity to Uncover the Role of Rabinowitsch Suspension through a Wavelike Conduit: Consolidated Blood Suspension Application |
| title_full | Leveraging Elasticity to Uncover the Role of Rabinowitsch Suspension through a Wavelike Conduit: Consolidated Blood Suspension Application |
| title_fullStr | Leveraging Elasticity to Uncover the Role of Rabinowitsch Suspension through a Wavelike Conduit: Consolidated Blood Suspension Application |
| title_full_unstemmed | Leveraging Elasticity to Uncover the Role of Rabinowitsch Suspension through a Wavelike Conduit: Consolidated Blood Suspension Application |
| title_short | Leveraging Elasticity to Uncover the Role of Rabinowitsch Suspension through a Wavelike Conduit: Consolidated Blood Suspension Application |
| title_sort | leveraging elasticity to uncover the role of rabinowitsch suspension through a wavelike conduit consolidated blood suspension application |
| topic | elasticity electroosmotic forces heat transfer Rabinowitsch fluid suspension |
| url | https://www.mdpi.com/2227-7390/9/16/2008 |
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