Analytic simulation of thermophoretic second grade fluid flow past a vertical surface with variable fluid characteristics and convective heating

Abstract The study considers the effect of thermophoresis particle deposition on the flow properties of second grade fluid with variable viscosity, variable thermal conductivity and variable concentration diffusivity subjected to a convective boundary condition. To further describe the transport phe...

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Main Authors: Nehad Ali Shah, Se-Jin Yook, Oreyeni Tosin
Format: Article
Language:English
Published: Nature Portfolio 2022-03-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-022-09301-x
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author Nehad Ali Shah
Se-Jin Yook
Oreyeni Tosin
author_facet Nehad Ali Shah
Se-Jin Yook
Oreyeni Tosin
author_sort Nehad Ali Shah
collection DOAJ
description Abstract The study considers the effect of thermophoresis particle deposition on the flow properties of second grade fluid with variable viscosity, variable thermal conductivity and variable concentration diffusivity subjected to a convective boundary condition. To further describe the transport phenomenon, the special case of assisting and opposing flows is explored. Using similarity transformations, the governing equations of the fluid model are transformed and parameterized into a system of nonlinear ordinary differential equations. The approximate analytic solution of a dimensionless system is obtained through the Optimal Homotopy Analysis Method (OHAM). It is observed that velocity and temperature distributions are decreasing functions of the second grade parameter for both assisting and opposing flows. When the thermophoretic parameter is increased, the concentration distributions at the first and fourth orders of chemical reaction decrease. For both opposing and assisting flows, velocity distributions are enhanced due to larger temperature-dependent viscous parameters.
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spelling doaj.art-cc301a4082144f6ba0dc180397608fd12022-12-22T03:20:37ZengNature PortfolioScientific Reports2045-23222022-03-0112111710.1038/s41598-022-09301-xAnalytic simulation of thermophoretic second grade fluid flow past a vertical surface with variable fluid characteristics and convective heatingNehad Ali Shah0Se-Jin Yook1Oreyeni Tosin2Department of Mechanical Engineering, Sejong UniversitySchool of Mechanical Engineering, Hanyang UniversityDepartment of Physical Sciences, Precious Cornerstone UniversityAbstract The study considers the effect of thermophoresis particle deposition on the flow properties of second grade fluid with variable viscosity, variable thermal conductivity and variable concentration diffusivity subjected to a convective boundary condition. To further describe the transport phenomenon, the special case of assisting and opposing flows is explored. Using similarity transformations, the governing equations of the fluid model are transformed and parameterized into a system of nonlinear ordinary differential equations. The approximate analytic solution of a dimensionless system is obtained through the Optimal Homotopy Analysis Method (OHAM). It is observed that velocity and temperature distributions are decreasing functions of the second grade parameter for both assisting and opposing flows. When the thermophoretic parameter is increased, the concentration distributions at the first and fourth orders of chemical reaction decrease. For both opposing and assisting flows, velocity distributions are enhanced due to larger temperature-dependent viscous parameters.https://doi.org/10.1038/s41598-022-09301-x
spellingShingle Nehad Ali Shah
Se-Jin Yook
Oreyeni Tosin
Analytic simulation of thermophoretic second grade fluid flow past a vertical surface with variable fluid characteristics and convective heating
Scientific Reports
title Analytic simulation of thermophoretic second grade fluid flow past a vertical surface with variable fluid characteristics and convective heating
title_full Analytic simulation of thermophoretic second grade fluid flow past a vertical surface with variable fluid characteristics and convective heating
title_fullStr Analytic simulation of thermophoretic second grade fluid flow past a vertical surface with variable fluid characteristics and convective heating
title_full_unstemmed Analytic simulation of thermophoretic second grade fluid flow past a vertical surface with variable fluid characteristics and convective heating
title_short Analytic simulation of thermophoretic second grade fluid flow past a vertical surface with variable fluid characteristics and convective heating
title_sort analytic simulation of thermophoretic second grade fluid flow past a vertical surface with variable fluid characteristics and convective heating
url https://doi.org/10.1038/s41598-022-09301-x
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AT oreyenitosin analyticsimulationofthermophoreticsecondgradefluidflowpastaverticalsurfacewithvariablefluidcharacteristicsandconvectiveheating