Novel idea about the peristaltic flow of heated Newtonian fluid in elliptic duct having ciliated walls
This novel investigation unfolds the mathematical model of peristaltic flow in an elliptic duct having ciliated walls. The current assessment is carried out by considering a heated Newtonian viscous fluid in this ciliated elliptic duct. A detailed heat transfer study combined with various physical a...
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Format: | Article |
Language: | English |
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Elsevier
2022-04-01
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Series: | Alexandria Engineering Journal |
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Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016821005044 |
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author | L.B. McCash Sohail Nadeem Salman Akhtar Anber Saleem Salman Saleem Alibek Issakhov |
author_facet | L.B. McCash Sohail Nadeem Salman Akhtar Anber Saleem Salman Saleem Alibek Issakhov |
author_sort | L.B. McCash |
collection | DOAJ |
description | This novel investigation unfolds the mathematical model of peristaltic flow in an elliptic duct having ciliated walls. The current assessment is carried out by considering a heated Newtonian viscous fluid in this ciliated elliptic duct. A detailed heat transfer study combined with various physical aspects of peristalsis is provided. We have incorporated the appropriate and useful transformations that simplify this mathematical problem into its non-dimensional form with relevant non-dimensional boundary conditions over the surface of ciliated elliptic duct. Finally, the exact mathematical results are computed for this interesting problem. A thorough graphical assessment is also included for a complete understanding of mathematical results. The axially symmetric flow behaviour is noted for both velocity and temperature profiles in this elliptic duct having ciliated walls. |
first_indexed | 2024-12-13T00:48:10Z |
format | Article |
id | doaj.art-c5aa022764574675ad122a57dd288f91 |
institution | Directory Open Access Journal |
issn | 1110-0168 |
language | English |
last_indexed | 2024-12-13T00:48:10Z |
publishDate | 2022-04-01 |
publisher | Elsevier |
record_format | Article |
series | Alexandria Engineering Journal |
spelling | doaj.art-c5aa022764574675ad122a57dd288f912022-12-22T00:04:59ZengElsevierAlexandria Engineering Journal1110-01682022-04-0161426972707Novel idea about the peristaltic flow of heated Newtonian fluid in elliptic duct having ciliated wallsL.B. McCash0Sohail Nadeem1Salman Akhtar2Anber Saleem3Salman Saleem4Alibek Issakhov5School of Mathematics & Actuarial Science, Univerisity of Leicester, Leicester LE1 7RH, UKDepartment of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan; Corresponding author.Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, PakistanDepartment of Anatomy, School of Dentistry, Shaheed Zulfiqar Ali Bhutto Medical University Islamabad, PakistanDepartment of Mathematics, College of Sciences, King Khalid University, Abha, Saudi ArabiaAl-Farabi Kazakh National University, Faculty of Mechanics and Mathematics, av. al-Farabi 71, Almaty, KazakhstanThis novel investigation unfolds the mathematical model of peristaltic flow in an elliptic duct having ciliated walls. The current assessment is carried out by considering a heated Newtonian viscous fluid in this ciliated elliptic duct. A detailed heat transfer study combined with various physical aspects of peristalsis is provided. We have incorporated the appropriate and useful transformations that simplify this mathematical problem into its non-dimensional form with relevant non-dimensional boundary conditions over the surface of ciliated elliptic duct. Finally, the exact mathematical results are computed for this interesting problem. A thorough graphical assessment is also included for a complete understanding of mathematical results. The axially symmetric flow behaviour is noted for both velocity and temperature profiles in this elliptic duct having ciliated walls.http://www.sciencedirect.com/science/article/pii/S1110016821005044Elliptic ductCiliaPeristalsisHeated fluidExact solutions |
spellingShingle | L.B. McCash Sohail Nadeem Salman Akhtar Anber Saleem Salman Saleem Alibek Issakhov Novel idea about the peristaltic flow of heated Newtonian fluid in elliptic duct having ciliated walls Alexandria Engineering Journal Elliptic duct Cilia Peristalsis Heated fluid Exact solutions |
title | Novel idea about the peristaltic flow of heated Newtonian fluid in elliptic duct having ciliated walls |
title_full | Novel idea about the peristaltic flow of heated Newtonian fluid in elliptic duct having ciliated walls |
title_fullStr | Novel idea about the peristaltic flow of heated Newtonian fluid in elliptic duct having ciliated walls |
title_full_unstemmed | Novel idea about the peristaltic flow of heated Newtonian fluid in elliptic duct having ciliated walls |
title_short | Novel idea about the peristaltic flow of heated Newtonian fluid in elliptic duct having ciliated walls |
title_sort | novel idea about the peristaltic flow of heated newtonian fluid in elliptic duct having ciliated walls |
topic | Elliptic duct Cilia Peristalsis Heated fluid Exact solutions |
url | http://www.sciencedirect.com/science/article/pii/S1110016821005044 |
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