Second-order slip effect on bio-convectional viscoelastic nanofluid flow through a stretching cylinder with swimming microorganisms and melting phenomenon

Abstract The uses of nanofluid in cooling technology is growing. The nanofluid is made up of metallic and nonmetallic particles that are distributed in a base fluid. This research provides a summary of fuel cell models, uses, and how they function. Researchers have made significant contributions in...

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Main Authors: Hassan Waqas, Umar Farooq, Zahir Shah, Poom Kumam, Meshal Shutaywi
Format: Article
Language:English
Published: Nature Publishing Group 2021-05-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-021-90671-z
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spelling doaj-502d6aed945d48e3afa5ed7c1f5347d92021-05-30T11:40:35ZengNature Publishing GroupScientific Reports2045-23222021-05-0111111610.1038/s41598-021-90671-zSecond-order slip effect on bio-convectional viscoelastic nanofluid flow through a stretching cylinder with swimming microorganisms and melting phenomenonHassan Waqas0Umar Farooq1Zahir Shah2Poom Kumam3Meshal Shutaywi4Department of Mathematics, Government College University FaisalabadDepartment of Mathematics, Government College University FaisalabadDepartment of Mathematical Sciences, University of Lakki MarwatFixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT)Department of Mathematics College of Science and Arts, King Abdulaziz UniversityAbstract The uses of nanofluid in cooling technology is growing. The nanofluid is made up of metallic and nonmetallic particles that are distributed in a base fluid. This research provides a summary of fuel cell models, uses, and how they function. Researchers have made significant contributions in the following era due to the importance of bioconvection in nanotechnology and a variety of biological systems. The idea of the recent work is to evaluate the aspects of the Cattaneo–Christov (C–C) heat and mass flux model, the second-order boundary with melting phenomenon on the bioconvective flow of viscoelastic nanofluid across a cylinder. The nature of the activation energy, thermal conductivity is also taken into account. Appropriate similarity transformations are utilized to reframe the PDEs of the modeled system into a system of ODEs. The governing equations for the renovated system of ODEs are treated by a shooting function. Here bvp4c built-in function computational tool MATLAB is used. The two-dimensional flow has ceased application in several areas, such as polymer industry, material synthesis technology, nano-biopolymer computer graphics processing, industry, mechanical engineering, airplane structures, and scientific research, which is much more useful in nanotechnology. The results of emerging important flow-field parameters are investigated with the aid of graphs and numerical results.https://doi.org/10.1038/s41598-021-90671-z
collection DOAJ
language English
format Article
sources DOAJ
author Hassan Waqas
Umar Farooq
Zahir Shah
Poom Kumam
Meshal Shutaywi
spellingShingle Hassan Waqas
Umar Farooq
Zahir Shah
Poom Kumam
Meshal Shutaywi
Second-order slip effect on bio-convectional viscoelastic nanofluid flow through a stretching cylinder with swimming microorganisms and melting phenomenon
Scientific Reports
author_facet Hassan Waqas
Umar Farooq
Zahir Shah
Poom Kumam
Meshal Shutaywi
author_sort Hassan Waqas
title Second-order slip effect on bio-convectional viscoelastic nanofluid flow through a stretching cylinder with swimming microorganisms and melting phenomenon
title_short Second-order slip effect on bio-convectional viscoelastic nanofluid flow through a stretching cylinder with swimming microorganisms and melting phenomenon
title_full Second-order slip effect on bio-convectional viscoelastic nanofluid flow through a stretching cylinder with swimming microorganisms and melting phenomenon
title_fullStr Second-order slip effect on bio-convectional viscoelastic nanofluid flow through a stretching cylinder with swimming microorganisms and melting phenomenon
title_full_unstemmed Second-order slip effect on bio-convectional viscoelastic nanofluid flow through a stretching cylinder with swimming microorganisms and melting phenomenon
title_sort second-order slip effect on bio-convectional viscoelastic nanofluid flow through a stretching cylinder with swimming microorganisms and melting phenomenon
publisher Nature Publishing Group
series Scientific Reports
issn 2045-2322
publishDate 2021-05-01
description Abstract The uses of nanofluid in cooling technology is growing. The nanofluid is made up of metallic and nonmetallic particles that are distributed in a base fluid. This research provides a summary of fuel cell models, uses, and how they function. Researchers have made significant contributions in the following era due to the importance of bioconvection in nanotechnology and a variety of biological systems. The idea of the recent work is to evaluate the aspects of the Cattaneo–Christov (C–C) heat and mass flux model, the second-order boundary with melting phenomenon on the bioconvective flow of viscoelastic nanofluid across a cylinder. The nature of the activation energy, thermal conductivity is also taken into account. Appropriate similarity transformations are utilized to reframe the PDEs of the modeled system into a system of ODEs. The governing equations for the renovated system of ODEs are treated by a shooting function. Here bvp4c built-in function computational tool MATLAB is used. The two-dimensional flow has ceased application in several areas, such as polymer industry, material synthesis technology, nano-biopolymer computer graphics processing, industry, mechanical engineering, airplane structures, and scientific research, which is much more useful in nanotechnology. The results of emerging important flow-field parameters are investigated with the aid of graphs and numerical results.
url https://doi.org/10.1038/s41598-021-90671-z
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