Influence of radially magnetic field properties in a peristaltic flow with internal heat generation: Numerical treatment
This article investigates the impact of radially varying magnetic field during the peristaltically flowing nanofluid in a finite flexible tube. The inner surface of axisymmetric tube is filled with metachronal waves of cilia. Flow is provoked as a result of these metachronal waves, which are formed...
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| Format: | Article |
| Language: | English |
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Elsevier
2021-08-01
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| Series: | Case Studies in Thermal Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2214157X21001829 |
| _version_ | 1818425884902686720 |
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| author | Imran Haider Qureshi Muhammad Awais Saeed Ehsan Awan Muhammad Nasir Abrar Muhammad Asif Zahoor Raja Sayer Obaid Alharbi I. Khan |
| author_facet | Imran Haider Qureshi Muhammad Awais Saeed Ehsan Awan Muhammad Nasir Abrar Muhammad Asif Zahoor Raja Sayer Obaid Alharbi I. Khan |
| author_sort | Imran Haider Qureshi |
| collection | DOAJ |
| description | This article investigates the impact of radially varying magnetic field during the peristaltically flowing nanofluid in a finite flexible tube. The inner surface of axisymmetric tube is filled with metachronal waves of cilia. Flow is provoked as a result of these metachronal waves, which are formed due to wavy or beating motion cilia. The thermal conduction of water base fluid is enhanced by involvement of carbon nanotubes. Moreover, heat transport analysis is performed with heat generation process. Governing problem is simplified under the long wave length and low Reynolds number approximation. Mathematical formulations have been performed which results into nonlinear partial differential equations. The suitable variables have been employed to obtain coupled ordinary differential system. Numerical solution is obtained by using Adams-Bashforth technique. Error analysis for the obtained results have been presented which show the validity in terms of tolerance level. Graphical results are prepared and analyzed for different sundry parameters showing the real insight of the analysis. The peristaltic pumping region is −1.0 < Q < -0.3 for wave amplitude and −1.0 < Q < −0.4 for magnetic parameter. Magnetic parameter reduces the fluid velocity effectively. Streamline pattern and bar charts have been prepared for both single and multiwall CNTs. |
| first_indexed | 2024-12-14T14:21:02Z |
| format | Article |
| id | doaj.art-a133f78d005642a2846e8e45e66e09cb |
| institution | Directory Open Access Journal |
| issn | 2214-157X |
| language | English |
| last_indexed | 2024-12-14T14:21:02Z |
| publishDate | 2021-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Case Studies in Thermal Engineering |
| spelling | doaj.art-a133f78d005642a2846e8e45e66e09cb2022-12-21T22:58:04ZengElsevierCase Studies in Thermal Engineering2214-157X2021-08-0126101019Influence of radially magnetic field properties in a peristaltic flow with internal heat generation: Numerical treatmentImran Haider Qureshi0Muhammad Awais1Saeed Ehsan Awan2Muhammad Nasir Abrar3Muhammad Asif Zahoor Raja4Sayer Obaid Alharbi5I. Khan6Department of Applied Mathematics and Statistics, Institute of Space Technology, Islamabad, 44000, PakistanDepartment of Mathematics, COMSATS University Islamabad, Attock Campus, Attock, 43600, PakistanDepartment of Electrical and Computer Engineering, COMSATS University Islamabad, Attock Campus, Attock, 43600, PakistanDepartment of Mathematics, Capital University of Science and Technology, Islamabad, PakistanFuture Technology Research Center, National Yunlin University of Science and Technology, 123 University Road, Section 3, Douliou, Yunlin, 64002, Taiwan, ROCDepartment of Mathematics, College of Science Al-Zulfi, Majmaah University, 11952, Saudi Arabia; Corresponding author.Department of Mathematics, College of Science Al-Zulfi, Majmaah University, 11952, Saudi ArabiaThis article investigates the impact of radially varying magnetic field during the peristaltically flowing nanofluid in a finite flexible tube. The inner surface of axisymmetric tube is filled with metachronal waves of cilia. Flow is provoked as a result of these metachronal waves, which are formed due to wavy or beating motion cilia. The thermal conduction of water base fluid is enhanced by involvement of carbon nanotubes. Moreover, heat transport analysis is performed with heat generation process. Governing problem is simplified under the long wave length and low Reynolds number approximation. Mathematical formulations have been performed which results into nonlinear partial differential equations. The suitable variables have been employed to obtain coupled ordinary differential system. Numerical solution is obtained by using Adams-Bashforth technique. Error analysis for the obtained results have been presented which show the validity in terms of tolerance level. Graphical results are prepared and analyzed for different sundry parameters showing the real insight of the analysis. The peristaltic pumping region is −1.0 < Q < -0.3 for wave amplitude and −1.0 < Q < −0.4 for magnetic parameter. Magnetic parameter reduces the fluid velocity effectively. Streamline pattern and bar charts have been prepared for both single and multiwall CNTs.http://www.sciencedirect.com/science/article/pii/S2214157X21001829Carbon nanotubesRadially varying magnetic fieldCiliated wallsError analysisAdams-bashforth technique |
| spellingShingle | Imran Haider Qureshi Muhammad Awais Saeed Ehsan Awan Muhammad Nasir Abrar Muhammad Asif Zahoor Raja Sayer Obaid Alharbi I. Khan Influence of radially magnetic field properties in a peristaltic flow with internal heat generation: Numerical treatment Case Studies in Thermal Engineering Carbon nanotubes Radially varying magnetic field Ciliated walls Error analysis Adams-bashforth technique |
| title | Influence of radially magnetic field properties in a peristaltic flow with internal heat generation: Numerical treatment |
| title_full | Influence of radially magnetic field properties in a peristaltic flow with internal heat generation: Numerical treatment |
| title_fullStr | Influence of radially magnetic field properties in a peristaltic flow with internal heat generation: Numerical treatment |
| title_full_unstemmed | Influence of radially magnetic field properties in a peristaltic flow with internal heat generation: Numerical treatment |
| title_short | Influence of radially magnetic field properties in a peristaltic flow with internal heat generation: Numerical treatment |
| title_sort | influence of radially magnetic field properties in a peristaltic flow with internal heat generation numerical treatment |
| topic | Carbon nanotubes Radially varying magnetic field Ciliated walls Error analysis Adams-bashforth technique |
| url | http://www.sciencedirect.com/science/article/pii/S2214157X21001829 |
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