Unsteady Carreau-Casson fluids over a radiated shrinking sheet in a suspension of dust and graphene nanoparticles with non-Fourier heat flux

This study gives unsteady radiative magneto hydrodynamic Carreau-Casson fluids in suspension of graphene particle with Cattaneo-Christov model. A simulation is performed by mixing of graphene nanoparticles into the base water. The arising set of governing partial differential equations (PDEs) are tr...

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Main Authors: Santhosh H.B., Mahesha, Raju C.S.K
Format: Article
Language:English
Published: De Gruyter 2019-01-01
Series:Nonlinear Engineering
Subjects:
Online Access:http://www.degruyter.com/view/j/nleng.2019.8.issue-1/nleng-2017-0158/nleng-2017-0158.xml?format=INT
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author Santhosh H.B.
Mahesha
Raju C.S.K
author_facet Santhosh H.B.
Mahesha
Raju C.S.K
author_sort Santhosh H.B.
collection DOAJ
description This study gives unsteady radiative magneto hydrodynamic Carreau-Casson fluids in suspension of graphene particle with Cattaneo-Christov model. A simulation is performed by mixing of graphene nanoparticles into the base water. The arising set of governing partial differential equations (PDEs) are transformed into set of ordinary differential equations (ODEs) using similarity transformations and then solved numerically using shooting technique with Runge-Kutta (RK) method. The computational results for non-dimensional temperature and velocity profiles are presented through graphs and tables. We also presented the numerical values of physical quantities (friction factor and local numbers) for various physical parameters. We compared the present results with existing literature under some limited case. At the end of this analysis we concluded that, the temperature profiles are higher in Casson fluid when compared to Carreau fluid. Similarly, the friction between the particles is more in Casson fluid compare to Carreau fluid, and heat transfer rate is high in Carreau fluid compared to Casson fluid. This help us to conclude that the cooling treatment by using Casson fluid is useful compared to Carreau fluid over unsteady sheet.
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spelling doaj.art-87857fed26fc4b4c93e7443e0431a7b02022-12-22T00:12:15ZengDe GruyterNonlinear Engineering2192-80102192-80292019-01-018141942810.1515/nleng-2017-0158nleng-2017-0158Unsteady Carreau-Casson fluids over a radiated shrinking sheet in a suspension of dust and graphene nanoparticles with non-Fourier heat fluxSanthosh H.B.0Mahesha1Raju C.S.K2Department of MathematicsGITAM School of TechnologyBengaluru-562163, Karnataka, IndiaDepartment of Mathematics UniversityB.D.T. College of EngineeringDavangere-577004, Karnataka, IndiaDepartment of MathematicsGITAM School of TechnologyBengaluru-562163, Karnataka, IndiaThis study gives unsteady radiative magneto hydrodynamic Carreau-Casson fluids in suspension of graphene particle with Cattaneo-Christov model. A simulation is performed by mixing of graphene nanoparticles into the base water. The arising set of governing partial differential equations (PDEs) are transformed into set of ordinary differential equations (ODEs) using similarity transformations and then solved numerically using shooting technique with Runge-Kutta (RK) method. The computational results for non-dimensional temperature and velocity profiles are presented through graphs and tables. We also presented the numerical values of physical quantities (friction factor and local numbers) for various physical parameters. We compared the present results with existing literature under some limited case. At the end of this analysis we concluded that, the temperature profiles are higher in Casson fluid when compared to Carreau fluid. Similarly, the friction between the particles is more in Casson fluid compare to Carreau fluid, and heat transfer rate is high in Carreau fluid compared to Casson fluid. This help us to conclude that the cooling treatment by using Casson fluid is useful compared to Carreau fluid over unsteady sheet.http://www.degruyter.com/view/j/nleng.2019.8.issue-1/nleng-2017-0158/nleng-2017-0158.xml?format=INTGraphene NanoparticlesHeat source or sinkthermal radiationCasson fluidCarreau fluidMHDCattaneo-Christov heat fluxDust particles
spellingShingle Santhosh H.B.
Mahesha
Raju C.S.K
Unsteady Carreau-Casson fluids over a radiated shrinking sheet in a suspension of dust and graphene nanoparticles with non-Fourier heat flux
Nonlinear Engineering
Graphene Nanoparticles
Heat source or sink
thermal radiation
Casson fluid
Carreau fluid
MHD
Cattaneo-Christov heat flux
Dust particles
title Unsteady Carreau-Casson fluids over a radiated shrinking sheet in a suspension of dust and graphene nanoparticles with non-Fourier heat flux
title_full Unsteady Carreau-Casson fluids over a radiated shrinking sheet in a suspension of dust and graphene nanoparticles with non-Fourier heat flux
title_fullStr Unsteady Carreau-Casson fluids over a radiated shrinking sheet in a suspension of dust and graphene nanoparticles with non-Fourier heat flux
title_full_unstemmed Unsteady Carreau-Casson fluids over a radiated shrinking sheet in a suspension of dust and graphene nanoparticles with non-Fourier heat flux
title_short Unsteady Carreau-Casson fluids over a radiated shrinking sheet in a suspension of dust and graphene nanoparticles with non-Fourier heat flux
title_sort unsteady carreau casson fluids over a radiated shrinking sheet in a suspension of dust and graphene nanoparticles with non fourier heat flux
topic Graphene Nanoparticles
Heat source or sink
thermal radiation
Casson fluid
Carreau fluid
MHD
Cattaneo-Christov heat flux
Dust particles
url http://www.degruyter.com/view/j/nleng.2019.8.issue-1/nleng-2017-0158/nleng-2017-0158.xml?format=INT
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AT mahesha unsteadycarreaucassonfluidsoveraradiatedshrinkingsheetinasuspensionofdustandgraphenenanoparticleswithnonfourierheatflux
AT rajucsk unsteadycarreaucassonfluidsoveraradiatedshrinkingsheetinasuspensionofdustandgraphenenanoparticleswithnonfourierheatflux