A mathematical model for radiative peristaltic flow of Jeffrey fluid in curved channel with Joule heating and different walls: Shooting technique analysis
The peristaltic phenomenon has intended the researcher’s attention due to its extensive applications in bio-mechanics, industries and biological sciences. The applications of peristaltic transport problems are observed in the transportation of cilia, food mixing in digestive tract, small blood vesse...
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| Format: | Article |
| Language: | English |
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Elsevier
2022-09-01
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| Series: | Ain Shams Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2090447921004639 |
| _version_ | 1811250540347129856 |
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| author | Zahid Hussain Kamel Al-Khaled Uzma Ashrif A. Abbasi Sami Ullah Khan W Farooq M. Ijaz Khan Shahid Farooq M.Y. Malik |
| author_facet | Zahid Hussain Kamel Al-Khaled Uzma Ashrif A. Abbasi Sami Ullah Khan W Farooq M. Ijaz Khan Shahid Farooq M.Y. Malik |
| author_sort | Zahid Hussain |
| collection | DOAJ |
| description | The peristaltic phenomenon has intended the researcher’s attention due to its extensive applications in bio-mechanics, industries and biological sciences. The applications of peristaltic transport problems are observed in the transportation of cilia, food mixing in digestive tract, small blood vessels vasomtion, urine transportation etc. Following to such motivating applications in minds, this theoretical analysis presents the peristaltic flow of magnetized Jeffery fluid through accounted by curved channel in presence of heat transfer. The assumed flow is confined by different wave frames. The heat transfer inspection has been performed by utilizing the non-linear thermal radiation and joule heating features. The curvilinear coordinate system is used to model the two dimensional, laminar and incompressible Jeffrey fluid with peristaltic phenomenon. The partial differential equations are transformed into ordinary differential equations in view of appropriate quantities. The implementation of wave length with long magnitude and the assumptions of smaller Reynolds assumptions, the governing system of ordinary system is solved numerically by using shooting technique. The dynamic of involved quantities and physical variables is observed carefully. A declining observation in the temperature in all forms of waves has been noticed for increasing the viscoelastic parameter. The heat transfer coefficient for all waves enhanced for the radius of curvature. Moreover, the velocity of the fluid declines in the lower half of the channel and rises near upper wall of the curved channel due to magnetic parameter. |
| first_indexed | 2024-04-12T16:06:41Z |
| format | Article |
| id | doaj.art-e628e72d2b2f4bf48cfb5a00e3d644a6 |
| institution | Directory Open Access Journal |
| issn | 2090-4479 |
| language | English |
| last_indexed | 2024-04-12T16:06:41Z |
| publishDate | 2022-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Ain Shams Engineering Journal |
| spelling | doaj.art-e628e72d2b2f4bf48cfb5a00e3d644a62022-12-22T03:26:03ZengElsevierAin Shams Engineering Journal2090-44792022-09-01135101685A mathematical model for radiative peristaltic flow of Jeffrey fluid in curved channel with Joule heating and different walls: Shooting technique analysisZahid Hussain0Kamel Al-Khaled1Uzma Ashrif2A. Abbasi3Sami Ullah Khan4W Farooq5M. Ijaz Khan6Shahid Farooq7M.Y. Malik8Department of Mathematics, University of Azad Jammu and Kashmir Muzaffarabad, 13100 PakistanDepartment of Mathematics & Statistics, Jordan University of Science and Technology, P.O. Box 3030, Irbid 22110, JordanDepartment of Mathematics, University of Azad Jammu and Kashmir Muzaffarabad, 13100 PakistanDepartment of Mathematics, University of Azad Jammu and Kashmir Muzaffarabad, 13100 PakistanDepartment of Mathematics, COMSATS University Islamabad, Sahiwal 57000, PakistanDepartment of Mathematics, University of Azad Jammu and Kashmir Muzaffarabad, 13100 PakistanDepartment of Mathematics and Statistics, Riphah International University I-14, Islamabad 44000, PakistanDepartment of Mathematics and Statistics, Riphah International University I-14, Islamabad 44000, Pakistan; Corresponding author.Department of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi ArabiaThe peristaltic phenomenon has intended the researcher’s attention due to its extensive applications in bio-mechanics, industries and biological sciences. The applications of peristaltic transport problems are observed in the transportation of cilia, food mixing in digestive tract, small blood vessels vasomtion, urine transportation etc. Following to such motivating applications in minds, this theoretical analysis presents the peristaltic flow of magnetized Jeffery fluid through accounted by curved channel in presence of heat transfer. The assumed flow is confined by different wave frames. The heat transfer inspection has been performed by utilizing the non-linear thermal radiation and joule heating features. The curvilinear coordinate system is used to model the two dimensional, laminar and incompressible Jeffrey fluid with peristaltic phenomenon. The partial differential equations are transformed into ordinary differential equations in view of appropriate quantities. The implementation of wave length with long magnitude and the assumptions of smaller Reynolds assumptions, the governing system of ordinary system is solved numerically by using shooting technique. The dynamic of involved quantities and physical variables is observed carefully. A declining observation in the temperature in all forms of waves has been noticed for increasing the viscoelastic parameter. The heat transfer coefficient for all waves enhanced for the radius of curvature. Moreover, the velocity of the fluid declines in the lower half of the channel and rises near upper wall of the curved channel due to magnetic parameter.http://www.sciencedirect.com/science/article/pii/S2090447921004639Curved channelDifferent wallsNon-linear thermal radiationJoule heating |
| spellingShingle | Zahid Hussain Kamel Al-Khaled Uzma Ashrif A. Abbasi Sami Ullah Khan W Farooq M. Ijaz Khan Shahid Farooq M.Y. Malik A mathematical model for radiative peristaltic flow of Jeffrey fluid in curved channel with Joule heating and different walls: Shooting technique analysis Ain Shams Engineering Journal Curved channel Different walls Non-linear thermal radiation Joule heating |
| title | A mathematical model for radiative peristaltic flow of Jeffrey fluid in curved channel with Joule heating and different walls: Shooting technique analysis |
| title_full | A mathematical model for radiative peristaltic flow of Jeffrey fluid in curved channel with Joule heating and different walls: Shooting technique analysis |
| title_fullStr | A mathematical model for radiative peristaltic flow of Jeffrey fluid in curved channel with Joule heating and different walls: Shooting technique analysis |
| title_full_unstemmed | A mathematical model for radiative peristaltic flow of Jeffrey fluid in curved channel with Joule heating and different walls: Shooting technique analysis |
| title_short | A mathematical model for radiative peristaltic flow of Jeffrey fluid in curved channel with Joule heating and different walls: Shooting technique analysis |
| title_sort | mathematical model for radiative peristaltic flow of jeffrey fluid in curved channel with joule heating and different walls shooting technique analysis |
| topic | Curved channel Different walls Non-linear thermal radiation Joule heating |
| url | http://www.sciencedirect.com/science/article/pii/S2090447921004639 |
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