MHD effect on peristaltic motion of Williamson fluid via porous channel with suction and injection
Recent advancements in nanofluids (NFs) nanomaterials have led to diverse applications across multiple disciplines, enhancing heat transfer (HT) performance in clinical systems, engineering, cooling technologies, engine generators (EG), and more. These materials play a critical role in diagnosing un...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-03-01
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| Series: | Partial Differential Equations in Applied Mathematics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818125000312 |
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| author | K. Chakradhar K. Nandagopal Vishnudasu Prashanthi A. Parandhama T. Somaiah B.V. Sai Thrinath Nainaru Tarakaramu Ghulam Rasool Dilsora Abduvalieva |
| author_facet | K. Chakradhar K. Nandagopal Vishnudasu Prashanthi A. Parandhama T. Somaiah B.V. Sai Thrinath Nainaru Tarakaramu Ghulam Rasool Dilsora Abduvalieva |
| author_sort | K. Chakradhar |
| collection | DOAJ |
| description | Recent advancements in nanofluids (NFs) nanomaterials have led to diverse applications across multiple disciplines, enhancing heat transfer (HT) performance in clinical systems, engineering, cooling technologies, engine generators (EG), and more. These materials play a critical role in diagnosing underlying issues within human organs that rely on peristaltic pumping for fluid transfer, such as the stomach, intestines, and ureters. They are also integral to devices like flow meters, magnetohydrodynamic (MHD) generators and pumps, nuclear reactors using liquid metals, geothermal energy systems, and solar power absorbers. This research focuses on the influence of a magnetic field (MF) on peristaltic flow within a porous channel containing Williamson fluid (WF), driven by both injection and vertical pressure gradients. The objective is to analyze how peristaltic motion affects heat transfer efficiency in such systems. The fluid dynamics are modeled under the assumptions of long wavelengths and small Reynolds numbers. The study aims to evaluate key factors affecting pressure and frictional forces in the porous channel, including Hartmann number (HN), suction and injection parameters, and the rheological properties of Williamson fluid. Nonlinear differential equations governing the flow are solved analytically using perturbation techniques. The findings indicate that increasing the suction and injection parameters enhances volumetric flow rates, while the relationship between pressure rise and time-averaged volumetric flow rate is also explored. Results show that pressure rise decreases as the Hartmann number increases, consistent with the findings of Shapiro et al. The study concludes that the interaction between magnetic fields and peristaltic motion significantly influences fluid behavior, with potential applications in both biological and industrial systems. |
| format | Article |
| id | doaj-art-aa6d7430cf534a6ea67c177d9f0c2007 |
| institution | Kabale University |
| issn | 2666-8181 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj-art-aa6d7430cf534a6ea67c177d9f0c20072025-02-04T04:10:38ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812025-03-0113101103MHD effect on peristaltic motion of Williamson fluid via porous channel with suction and injectionK. Chakradhar0K. Nandagopal1Vishnudasu Prashanthi2A. Parandhama3T. Somaiah4B.V. Sai Thrinath5Nainaru Tarakaramu6Ghulam Rasool7Dilsora Abduvalieva8Department of Mathematics, KPRIT College of Engineering, Hyderabad, Telangana, IndiaDepartment of Mathematics, School of Liberal Arts and Sciences, Mohan Babu University, Sree Sainath Nagar, Tirupathi 517102, Andhra Pradesh, India; Corresponding authors.Department of Mathematics, Vignana Bharathi Institute of Technology (VBIT), Aushapur, Ghatkesar, Hyderabad 501301, Telangana, IndiaDepartment of Mathematics, Sreenidhi University, Ghatkesar, Hyderabad 501301, Telangana, IndiaDepartment of Mathematics, KPRIT College of Engineering, Hyderabad, Telangana, IndiaDepartment of Electrical and Electronics Engineering, School of Engineering, Mohan Babu University, Sree Sainath Nagar, Tirupathi 517102, Andhra Pradesh, IndiaDepartment of Mathematics, School of Liberal Arts and Sciences, Mohan Babu University, Sree Sainath Nagar, Tirupathi 517102, Andhra Pradesh, India; Corresponding authors.Department of Mechanical Engineering, College of Engineering, Prince Mohammad Bin Fahd University, Al-Khobar, Saudi ArabiaDepartment of Mathematics and Information Technologies, Tashkent State Pedagogical University, Bunyodkor avenue, 27, Tashkent 100070, UzbekistanRecent advancements in nanofluids (NFs) nanomaterials have led to diverse applications across multiple disciplines, enhancing heat transfer (HT) performance in clinical systems, engineering, cooling technologies, engine generators (EG), and more. These materials play a critical role in diagnosing underlying issues within human organs that rely on peristaltic pumping for fluid transfer, such as the stomach, intestines, and ureters. They are also integral to devices like flow meters, magnetohydrodynamic (MHD) generators and pumps, nuclear reactors using liquid metals, geothermal energy systems, and solar power absorbers. This research focuses on the influence of a magnetic field (MF) on peristaltic flow within a porous channel containing Williamson fluid (WF), driven by both injection and vertical pressure gradients. The objective is to analyze how peristaltic motion affects heat transfer efficiency in such systems. The fluid dynamics are modeled under the assumptions of long wavelengths and small Reynolds numbers. The study aims to evaluate key factors affecting pressure and frictional forces in the porous channel, including Hartmann number (HN), suction and injection parameters, and the rheological properties of Williamson fluid. Nonlinear differential equations governing the flow are solved analytically using perturbation techniques. The findings indicate that increasing the suction and injection parameters enhances volumetric flow rates, while the relationship between pressure rise and time-averaged volumetric flow rate is also explored. Results show that pressure rise decreases as the Hartmann number increases, consistent with the findings of Shapiro et al. The study concludes that the interaction between magnetic fields and peristaltic motion significantly influences fluid behavior, with potential applications in both biological and industrial systems.http://www.sciencedirect.com/science/article/pii/S2666818125000312PeristalsisMHDWilliamson fluidPorous mediumVertical channel |
| spellingShingle | K. Chakradhar K. Nandagopal Vishnudasu Prashanthi A. Parandhama T. Somaiah B.V. Sai Thrinath Nainaru Tarakaramu Ghulam Rasool Dilsora Abduvalieva MHD effect on peristaltic motion of Williamson fluid via porous channel with suction and injection Partial Differential Equations in Applied Mathematics Peristalsis MHD Williamson fluid Porous medium Vertical channel |
| title | MHD effect on peristaltic motion of Williamson fluid via porous channel with suction and injection |
| title_full | MHD effect on peristaltic motion of Williamson fluid via porous channel with suction and injection |
| title_fullStr | MHD effect on peristaltic motion of Williamson fluid via porous channel with suction and injection |
| title_full_unstemmed | MHD effect on peristaltic motion of Williamson fluid via porous channel with suction and injection |
| title_short | MHD effect on peristaltic motion of Williamson fluid via porous channel with suction and injection |
| title_sort | mhd effect on peristaltic motion of williamson fluid via porous channel with suction and injection |
| topic | Peristalsis MHD Williamson fluid Porous medium Vertical channel |
| url | http://www.sciencedirect.com/science/article/pii/S2666818125000312 |
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