Effect of heat transfer on peristaltic flow of Newtonian fluid through eccentric cylinders

Heat transfer effect on peristaltic Newtonian flow in an annular region of eccentric cylinders is considered. An approximate solution for temperature and velocity is obtained using perturbation technique. For constant flow rate, the variation of pressure gradient and velocity with respect to several...

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Main Authors: Sushma M Puranik, Indira Rama Rao, K.R. Sreegowrav, Fehmi Gamaoun, Umair Khan, Sayed M. Eldin, Konduru Sarada, Jasgurpreet Singh Chohan, Abdulkafi Mohammed Saeed
Format: Article
Language:English
Published: Elsevier 2023-05-01
Series:Case Studies in Thermal Engineering
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2214157X23002186
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author Sushma M Puranik
Indira Rama Rao
K.R. Sreegowrav
Fehmi Gamaoun
Umair Khan
Sayed M. Eldin
Konduru Sarada
Jasgurpreet Singh Chohan
Abdulkafi Mohammed Saeed
author_facet Sushma M Puranik
Indira Rama Rao
K.R. Sreegowrav
Fehmi Gamaoun
Umair Khan
Sayed M. Eldin
Konduru Sarada
Jasgurpreet Singh Chohan
Abdulkafi Mohammed Saeed
author_sort Sushma M Puranik
collection DOAJ
description Heat transfer effect on peristaltic Newtonian flow in an annular region of eccentric cylinders is considered. An approximate solution for temperature and velocity is obtained using perturbation technique. For constant flow rate, the variation of pressure gradient and velocity with respect to several non-dimensional parameters is studied using graphical representation. It is seen in these graphs that velocity, pressure gradient and temperature enhance with raise in eccentricity and amplitude ratio. Heat diffuses with faster rate with depletion in area of cross section eccentric annulus through parameter inner cylinder radius. Also, velocity rises with increase in heat transfer parameters such as Grashof number and heat transfer co-efficient. Thus velocity of peristaltic flow in eccentric annulus enhances rapidly in presence of heat transfer compared to absence of heat transfer. A study of peristaltic flow in concentric annulus in presence of heat transfer is obtained analytically and compared with present study at eccentricity equal to zero, to validate the approximate solution. It is seen that flow rate increases more in case of eccentric annulus compared to concentric in presence of heat transfer. Present study has application in endoscope, which is important to diagnose problems in internal organs. Also, the variation of pressure gradient helps to maintain flow rate which is essential during insertion of catheter into artery.
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spelling doaj.art-56777b30703d45d7a738bacf02975ab12023-05-06T04:37:50ZengElsevierCase Studies in Thermal Engineering2214-157X2023-05-0145102912Effect of heat transfer on peristaltic flow of Newtonian fluid through eccentric cylindersSushma M Puranik0Indira Rama Rao1K.R. Sreegowrav2Fehmi Gamaoun3Umair Khan4Sayed M. Eldin5Konduru Sarada6Jasgurpreet Singh Chohan7Abdulkafi Mohammed Saeed8Department of Mathematics, RV Institute of Technology and Management, Bengaluru, Karnataka, 560076, IndiaDepartment of Mathematics, Nitte Meenakshi Institute of Technology, Bengaluru, Karnataka, 560064, IndiaDepartment of Mathematics, School of Applied Sciences, REVA University, Bengaluru, Karnataka, 560064, India; Corresponding author.Department of Mechanical Engineering, College of Engineering, King Khalid University, Abha, 61421, Saudi ArabiaDepartment of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM, Bangi, 43600, Selangor, Malaysia; Department of Mathematics and Social Sciences, Sukkur IBA University, Sukkur, 65200, Sindh, PakistanCenter of Research, Faculty of Engineering, Future University in Egypt, New Cairo, 11835, EgyptDepartment of Mathematics, Government City College, Hyderabad, IndiaDepartment of Mechanical Engineering and University Centre for Research & Development, Chandigarh University, Mohali, 140413, Punjab, IndiaDepartment of Mathematics, College of Science, Qassim University, Buraydah, 51452, Saudi ArabiaHeat transfer effect on peristaltic Newtonian flow in an annular region of eccentric cylinders is considered. An approximate solution for temperature and velocity is obtained using perturbation technique. For constant flow rate, the variation of pressure gradient and velocity with respect to several non-dimensional parameters is studied using graphical representation. It is seen in these graphs that velocity, pressure gradient and temperature enhance with raise in eccentricity and amplitude ratio. Heat diffuses with faster rate with depletion in area of cross section eccentric annulus through parameter inner cylinder radius. Also, velocity rises with increase in heat transfer parameters such as Grashof number and heat transfer co-efficient. Thus velocity of peristaltic flow in eccentric annulus enhances rapidly in presence of heat transfer compared to absence of heat transfer. A study of peristaltic flow in concentric annulus in presence of heat transfer is obtained analytically and compared with present study at eccentricity equal to zero, to validate the approximate solution. It is seen that flow rate increases more in case of eccentric annulus compared to concentric in presence of heat transfer. Present study has application in endoscope, which is important to diagnose problems in internal organs. Also, the variation of pressure gradient helps to maintain flow rate which is essential during insertion of catheter into artery.http://www.sciencedirect.com/science/article/pii/S2214157X23002186Peristaltic flowHeat transferEccentricityPerturbationNewtonian fluid
spellingShingle Sushma M Puranik
Indira Rama Rao
K.R. Sreegowrav
Fehmi Gamaoun
Umair Khan
Sayed M. Eldin
Konduru Sarada
Jasgurpreet Singh Chohan
Abdulkafi Mohammed Saeed
Effect of heat transfer on peristaltic flow of Newtonian fluid through eccentric cylinders
Case Studies in Thermal Engineering
Peristaltic flow
Heat transfer
Eccentricity
Perturbation
Newtonian fluid
title Effect of heat transfer on peristaltic flow of Newtonian fluid through eccentric cylinders
title_full Effect of heat transfer on peristaltic flow of Newtonian fluid through eccentric cylinders
title_fullStr Effect of heat transfer on peristaltic flow of Newtonian fluid through eccentric cylinders
title_full_unstemmed Effect of heat transfer on peristaltic flow of Newtonian fluid through eccentric cylinders
title_short Effect of heat transfer on peristaltic flow of Newtonian fluid through eccentric cylinders
title_sort effect of heat transfer on peristaltic flow of newtonian fluid through eccentric cylinders
topic Peristaltic flow
Heat transfer
Eccentricity
Perturbation
Newtonian fluid
url http://www.sciencedirect.com/science/article/pii/S2214157X23002186
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