Mathematical Modeling of Carreau Fluid Flow and Heat Transfer Characteristics in the Renal Tubule
This study looks into the steady heat transfer issue of a flow of an incompressible Carreau fluid. Carreau fluid exhibits the shear thinning and thickening characteristics at low, moderate, and high shear rates. At the tubule wall, the fluid absorption is used as a function of pressure gradient and...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/2517933 |
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| _version_ | 1849399225081659392 |
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| author | Muhammad Rooman Zahir Shah Ebenezer Bonyah Muhammad Asif Jan Wejdan Deebani |
| author_facet | Muhammad Rooman Zahir Shah Ebenezer Bonyah Muhammad Asif Jan Wejdan Deebani |
| author_sort | Muhammad Rooman |
| collection | DOAJ |
| description | This study looks into the steady heat transfer issue of a flow of an incompressible Carreau fluid. Carreau fluid exhibits the shear thinning and thickening characteristics at low, moderate, and high shear rates. At the tubule wall, the fluid absorption is used as a function of pressure gradient and wall permeability through the tubule wall. Supposing the tubule radius considerably small in comparison to its length, the governing equations are considerably simplified. Significant quantities of interest are computed analytically by using perturbation, and the influence of emergent parameters is discussed through graphical results. The comparisons of results with existing data are set up to be good agreement. |
| format | Article |
| id | doaj-art-9e239d135e2b4a2f98cf9b982a4f91ec |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-9e239d135e2b4a2f98cf9b982a4f91ec2025-08-20T03:38:23ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/2517933Mathematical Modeling of Carreau Fluid Flow and Heat Transfer Characteristics in the Renal TubuleMuhammad Rooman0Zahir Shah1Ebenezer Bonyah2Muhammad Asif Jan3Wejdan Deebani4Department of MathematicsDepartment of Mathematical SciencesDepartment of Mathematics EducationDepartment of Medical ResearchDepartment of MathematicsThis study looks into the steady heat transfer issue of a flow of an incompressible Carreau fluid. Carreau fluid exhibits the shear thinning and thickening characteristics at low, moderate, and high shear rates. At the tubule wall, the fluid absorption is used as a function of pressure gradient and wall permeability through the tubule wall. Supposing the tubule radius considerably small in comparison to its length, the governing equations are considerably simplified. Significant quantities of interest are computed analytically by using perturbation, and the influence of emergent parameters is discussed through graphical results. The comparisons of results with existing data are set up to be good agreement.http://dx.doi.org/10.1155/2022/2517933 |
| spellingShingle | Muhammad Rooman Zahir Shah Ebenezer Bonyah Muhammad Asif Jan Wejdan Deebani Mathematical Modeling of Carreau Fluid Flow and Heat Transfer Characteristics in the Renal Tubule Journal of Mathematics |
| title | Mathematical Modeling of Carreau Fluid Flow and Heat Transfer Characteristics in the Renal Tubule |
| title_full | Mathematical Modeling of Carreau Fluid Flow and Heat Transfer Characteristics in the Renal Tubule |
| title_fullStr | Mathematical Modeling of Carreau Fluid Flow and Heat Transfer Characteristics in the Renal Tubule |
| title_full_unstemmed | Mathematical Modeling of Carreau Fluid Flow and Heat Transfer Characteristics in the Renal Tubule |
| title_short | Mathematical Modeling of Carreau Fluid Flow and Heat Transfer Characteristics in the Renal Tubule |
| title_sort | mathematical modeling of carreau fluid flow and heat transfer characteristics in the renal tubule |
| url | http://dx.doi.org/10.1155/2022/2517933 |
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