Analytical approach to explore theory of creeping flow with constant absorption
Exploration of entire human body is now possible with the advancement in the field of biotechnology, biosensors and bio-inspired modeling. We model the flow of a fluid between parallel plates for a couple stress fluid in order to incorporate polar effects on the flow. The stream function is used to...
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| Format: | Article |
| Language: | English |
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KeAi Communications Co., Ltd.
2024-01-01
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| Series: | Sensors International |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666351123000244 |
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| author | Abdul M. Siddiqui Q.A. Azim Getinet A. Gawo Ayesha Sohail |
| author_facet | Abdul M. Siddiqui Q.A. Azim Getinet A. Gawo Ayesha Sohail |
| author_sort | Abdul M. Siddiqui |
| collection | DOAJ |
| description | Exploration of entire human body is now possible with the advancement in the field of biotechnology, biosensors and bio-inspired modeling. We model the flow of a fluid between parallel plates for a couple stress fluid in order to incorporate polar effects on the flow. The stream function is used to transform the governing equations to system of ordinary differential equations. The analytical solutions are found for velocity components, pressure distribution, the axial flow rate, the mean pressure drop and the shear stress. The effect of couple stress parameter on the velocity, pressure and the shear stress has been investigated through graphs. We have also used the data from the renal tubule of a rat kidney in our analytical results to study the effect of the couple stress parameter on the mean pressure drop across the slit of the rat’s renal tubule. |
| format | Article |
| id | doaj-art-f263e774298c4973b9de9f2a7c5cf0b1 |
| institution | Kabale University |
| issn | 2666-3511 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | KeAi Communications Co., Ltd. |
| record_format | Article |
| series | Sensors International |
| spelling | doaj-art-f263e774298c4973b9de9f2a7c5cf0b12025-01-04T04:57:05ZengKeAi Communications Co., Ltd.Sensors International2666-35112024-01-015100250Analytical approach to explore theory of creeping flow with constant absorptionAbdul M. Siddiqui0Q.A. Azim1Getinet A. Gawo2Ayesha Sohail3Pennsylvania State University, 1031 Edgecomb Ave, York, PA 17403, USAUniversity of British Columbia, CanadaPennsylvania State University, 1031 Edgecomb Ave, York, PA 17403, USASchool of Mathematics and Statistics, University of Sydney, Sydney, NSW, 2006, Australia; Corresponding author.Exploration of entire human body is now possible with the advancement in the field of biotechnology, biosensors and bio-inspired modeling. We model the flow of a fluid between parallel plates for a couple stress fluid in order to incorporate polar effects on the flow. The stream function is used to transform the governing equations to system of ordinary differential equations. The analytical solutions are found for velocity components, pressure distribution, the axial flow rate, the mean pressure drop and the shear stress. The effect of couple stress parameter on the velocity, pressure and the shear stress has been investigated through graphs. We have also used the data from the renal tubule of a rat kidney in our analytical results to study the effect of the couple stress parameter on the mean pressure drop across the slit of the rat’s renal tubule.http://www.sciencedirect.com/science/article/pii/S2666351123000244Couple stress fluidCreeping flowParallel platesConstant absorptionFlow rate |
| spellingShingle | Abdul M. Siddiqui Q.A. Azim Getinet A. Gawo Ayesha Sohail Analytical approach to explore theory of creeping flow with constant absorption Sensors International Couple stress fluid Creeping flow Parallel plates Constant absorption Flow rate |
| title | Analytical approach to explore theory of creeping flow with constant absorption |
| title_full | Analytical approach to explore theory of creeping flow with constant absorption |
| title_fullStr | Analytical approach to explore theory of creeping flow with constant absorption |
| title_full_unstemmed | Analytical approach to explore theory of creeping flow with constant absorption |
| title_short | Analytical approach to explore theory of creeping flow with constant absorption |
| title_sort | analytical approach to explore theory of creeping flow with constant absorption |
| topic | Couple stress fluid Creeping flow Parallel plates Constant absorption Flow rate |
| url | http://www.sciencedirect.com/science/article/pii/S2666351123000244 |
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