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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Main Authors: L.B. McCash, Sohail Nadeem, Salman Akhtar, Anber Saleem, Salman Saleem, Alibek Issakhov
Format: Article
Language:English
Published: Elsevier 2022-04-01
Series:Alexandria Engineering Journal
Subjects:
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.
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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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