Impacts of Viscous Dissipation and Brownian Motion on Jeffrey Nanofluid Flow over an Unsteady Stretching Surface with Thermophoresis

The goal of this investigation is to explore the influence of viscous dissipation and Brownian motion on Jeffrey nanofluid flow over an unsteady moving surface with thermophoresis and mixed convection. Zero mass flux is also addressed at the surface such that the nanoparticles fraction of maintains...

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Main Authors: Essam R. El-Zahar, Ahmed M. Rashad, Laila F. Seddek
Format: Article
Language:English
Published: MDPI AG 2020-09-01
Series:Symmetry
Subjects:
MHD
Online Access:https://www.mdpi.com/2073-8994/12/9/1450
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spelling doaj-9167cfe8c1cb47eba849f4b081d69d3e2020-11-25T01:49:55ZengMDPI AGSymmetry2073-89942020-09-01121450145010.3390/sym12091450Impacts of Viscous Dissipation and Brownian Motion on Jeffrey Nanofluid Flow over an Unsteady Stretching Surface with ThermophoresisEssam R. El-Zahar0Ahmed M. Rashad1Laila F. Seddek2Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Aswan University, Aswan 81528, EgyptDepartment of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi ArabiaThe goal of this investigation is to explore the influence of viscous dissipation and Brownian motion on Jeffrey nanofluid flow over an unsteady moving surface with thermophoresis and mixed convection. Zero mass flux is also addressed at the surface such that the nanoparticles fraction of maintains itself on huge obstruction. An aiding transformation is adopted to renovate the governing equations into a set of partial differential equations which is solved using a new fourth-order finite difference continuation method and various graphical outcomes are discussed in detail with several employed parameters. The spectacular influence of pertinent constraints on velocity and thermal curves are inspected through various plots. Computational data for the heat transfer rate and skin-friction coefficient are also reported graphically. Graphical outcomes indicate that an augmentation in buoyance ratio and thermophoretic parameter leads to diminish the velocity curves and increase the temperature curves. Furthermore, it is inspected that escalating Deborah number exhibits increasing in the skin friction and salient decreasing heat transmission. Increasing magnetic strength leads to a reduction in the skin friction and enhancement in the Nusselt number, whilst a reverse reaction is manifested with mixed convection aspects.https://www.mdpi.com/2073-8994/12/9/1450Jeffrey nanofluidMHDmixed convectionviscous dissipationmoving surface
collection DOAJ
language English
format Article
sources DOAJ
author Essam R. El-Zahar
Ahmed M. Rashad
Laila F. Seddek
spellingShingle Essam R. El-Zahar
Ahmed M. Rashad
Laila F. Seddek
Impacts of Viscous Dissipation and Brownian Motion on Jeffrey Nanofluid Flow over an Unsteady Stretching Surface with Thermophoresis
Symmetry
Jeffrey nanofluid
MHD
mixed convection
viscous dissipation
moving surface
author_facet Essam R. El-Zahar
Ahmed M. Rashad
Laila F. Seddek
author_sort Essam R. El-Zahar
title Impacts of Viscous Dissipation and Brownian Motion on Jeffrey Nanofluid Flow over an Unsteady Stretching Surface with Thermophoresis
title_short Impacts of Viscous Dissipation and Brownian Motion on Jeffrey Nanofluid Flow over an Unsteady Stretching Surface with Thermophoresis
title_full Impacts of Viscous Dissipation and Brownian Motion on Jeffrey Nanofluid Flow over an Unsteady Stretching Surface with Thermophoresis
title_fullStr Impacts of Viscous Dissipation and Brownian Motion on Jeffrey Nanofluid Flow over an Unsteady Stretching Surface with Thermophoresis
title_full_unstemmed Impacts of Viscous Dissipation and Brownian Motion on Jeffrey Nanofluid Flow over an Unsteady Stretching Surface with Thermophoresis
title_sort impacts of viscous dissipation and brownian motion on jeffrey nanofluid flow over an unsteady stretching surface with thermophoresis
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2020-09-01
description The goal of this investigation is to explore the influence of viscous dissipation and Brownian motion on Jeffrey nanofluid flow over an unsteady moving surface with thermophoresis and mixed convection. Zero mass flux is also addressed at the surface such that the nanoparticles fraction of maintains itself on huge obstruction. An aiding transformation is adopted to renovate the governing equations into a set of partial differential equations which is solved using a new fourth-order finite difference continuation method and various graphical outcomes are discussed in detail with several employed parameters. The spectacular influence of pertinent constraints on velocity and thermal curves are inspected through various plots. Computational data for the heat transfer rate and skin-friction coefficient are also reported graphically. Graphical outcomes indicate that an augmentation in buoyance ratio and thermophoretic parameter leads to diminish the velocity curves and increase the temperature curves. Furthermore, it is inspected that escalating Deborah number exhibits increasing in the skin friction and salient decreasing heat transmission. Increasing magnetic strength leads to a reduction in the skin friction and enhancement in the Nusselt number, whilst a reverse reaction is manifested with mixed convection aspects.
topic Jeffrey nanofluid
MHD
mixed convection
viscous dissipation
moving surface
url https://www.mdpi.com/2073-8994/12/9/1450
work_keys_str_mv AT essamrelzahar impactsofviscousdissipationandbrownianmotiononjeffreynanofluidflowoveranunsteadystretchingsurfacewiththermophoresis
AT ahmedmrashad impactsofviscousdissipationandbrownianmotiononjeffreynanofluidflowoveranunsteadystretchingsurfacewiththermophoresis
AT lailafseddek impactsofviscousdissipationandbrownianmotiononjeffreynanofluidflowoveranunsteadystretchingsurfacewiththermophoresis
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