Forced Convection Heat Transfer of Giesekus Viscoelastic Fluid in Concentric Annulus with both Cylinders Rotation

<span style="font-family: Calibri;"><span style="font-size: medium;">A theoretical solution is presented for the forced convection heat transfer of a viscoelastic fluid obeying the Giesekus constitutive equation in a concentric annulus under steady state, laminar, and...

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Main Authors: maryam jouyandeh, Mehdi moayed mohseni, fariborz Rashidi
Format: Article
Language:English
Published: Reaserch Institute of Petroleum Industry 2014-10-01
Series:Journal of Petroleum Science and Technology
Subjects:
Online Access:https://jpst.ripi.ir/article_398_e3373d4461f532677ef35104747e8223.pdf
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author maryam jouyandeh
Mehdi moayed mohseni
fariborz Rashidi
author_facet maryam jouyandeh
Mehdi moayed mohseni
fariborz Rashidi
author_sort maryam jouyandeh
collection DOAJ
description <span style="font-family: Calibri;"><span style="font-size: medium;">A theoretical solution is presented for the forced convection heat transfer of a viscoelastic fluid obeying the Giesekus constitutive equation in a concentric annulus under steady state, laminar, and purely tangential flow. A relative rotational motion exists between the inner and the outer cylinders, which induces the flow. A constant temperature was set in both cylinders, in this study. The fluid properties are taken as constants and axial conduction is negligible, but the effect of viscous dissipation is included. The dimensionless temperature profile, the normalized bulk temperature, and the inner and outer Nusselt numbers are derived from solving non-dimensional energy equation as a function of all relevant non-dimensional parameters. The effects of Deborah number (<em>De</em></span><span style="font-size: medium;">), mobility factor (</span><em><span style="font-size: medium;">α</span></em><span style="font-size: medium;">), Brinkman number (</span><em><span style="font-size: medium;">Br</span></em><span style="font-size: medium;">) and velocity ratio (β) on the normalized temperature profile and Nusselt number are investigated. The results indicate the significant effects of these parameters on the dimensionless temperature distribution and Nusselt number.</span></span>
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spelling doaj.art-74790aee1fc049adb124dc240b1affd32022-12-22T01:37:51ZengReaserch Institute of Petroleum IndustryJournal of Petroleum Science and Technology2251-659X2645-33122014-10-01421910.22078/jpst.2014.398398Forced Convection Heat Transfer of Giesekus Viscoelastic Fluid in Concentric Annulus with both Cylinders Rotationmaryam jouyandeh0Mehdi moayed mohseni1fariborz Rashidi2Chemical Engineering Department, Amirkabir University of TechnologyDepartment of Chemical Engineering, Amirkabir University of TechnologyDepartment of Chemical Engineering, Amirkabir University of Technology<span style="font-family: Calibri;"><span style="font-size: medium;">A theoretical solution is presented for the forced convection heat transfer of a viscoelastic fluid obeying the Giesekus constitutive equation in a concentric annulus under steady state, laminar, and purely tangential flow. A relative rotational motion exists between the inner and the outer cylinders, which induces the flow. A constant temperature was set in both cylinders, in this study. The fluid properties are taken as constants and axial conduction is negligible, but the effect of viscous dissipation is included. The dimensionless temperature profile, the normalized bulk temperature, and the inner and outer Nusselt numbers are derived from solving non-dimensional energy equation as a function of all relevant non-dimensional parameters. The effects of Deborah number (<em>De</em></span><span style="font-size: medium;">), mobility factor (</span><em><span style="font-size: medium;">α</span></em><span style="font-size: medium;">), Brinkman number (</span><em><span style="font-size: medium;">Br</span></em><span style="font-size: medium;">) and velocity ratio (β) on the normalized temperature profile and Nusselt number are investigated. The results indicate the significant effects of these parameters on the dimensionless temperature distribution and Nusselt number.</span></span>https://jpst.ripi.ir/article_398_e3373d4461f532677ef35104747e8223.pdfviscoelastic fluidgiesekus modelelasticityviscous dissipationnusselt number
spellingShingle maryam jouyandeh
Mehdi moayed mohseni
fariborz Rashidi
Forced Convection Heat Transfer of Giesekus Viscoelastic Fluid in Concentric Annulus with both Cylinders Rotation
Journal of Petroleum Science and Technology
viscoelastic fluid
giesekus model
elasticity
viscous dissipation
nusselt number
title Forced Convection Heat Transfer of Giesekus Viscoelastic Fluid in Concentric Annulus with both Cylinders Rotation
title_full Forced Convection Heat Transfer of Giesekus Viscoelastic Fluid in Concentric Annulus with both Cylinders Rotation
title_fullStr Forced Convection Heat Transfer of Giesekus Viscoelastic Fluid in Concentric Annulus with both Cylinders Rotation
title_full_unstemmed Forced Convection Heat Transfer of Giesekus Viscoelastic Fluid in Concentric Annulus with both Cylinders Rotation
title_short Forced Convection Heat Transfer of Giesekus Viscoelastic Fluid in Concentric Annulus with both Cylinders Rotation
title_sort forced convection heat transfer of giesekus viscoelastic fluid in concentric annulus with both cylinders rotation
topic viscoelastic fluid
giesekus model
elasticity
viscous dissipation
nusselt number
url https://jpst.ripi.ir/article_398_e3373d4461f532677ef35104747e8223.pdf
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AT mehdimoayedmohseni forcedconvectionheattransferofgiesekusviscoelasticfluidinconcentricannuluswithbothcylindersrotation
AT fariborzrashidi forcedconvectionheattransferofgiesekusviscoelasticfluidinconcentricannuluswithbothcylindersrotation