Mixed convection two-phase flow of Maxwell fluid under the influence of non-linear thermal radiation, non-uniform heat source/sink and fluid-particle suspension

A detailed investigation of two-dimensional mixed convection flow of non-Newtonian fluid due to convectively heated stretching sheet in the presence of dust particles is conducted. The influence of viscous dissipation, nonlinear thermal radiation and non-uniform heat source/sink is considered in the...

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Main Authors: B.J. Gireesha, B. Mahanthesh, Rama Subba Reddy Gorla, K.L. Krupalakshmi
Format: Article
Language:English
Published: Elsevier 2018-12-01
Series:Ain Shams Engineering Journal
Online Access:http://www.sciencedirect.com/science/article/pii/S2090447916300600
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spelling doaj-2a655af546134048b14df1e82d1bee0a2021-06-02T09:38:15ZengElsevierAin Shams Engineering Journal2090-44792018-12-0194735746Mixed convection two-phase flow of Maxwell fluid under the influence of non-linear thermal radiation, non-uniform heat source/sink and fluid-particle suspensionB.J. Gireesha0B. Mahanthesh1Rama Subba Reddy Gorla2K.L. Krupalakshmi3Department of Mechanical Engineering, Cleveland State University, Cleveland, OH, USA; Department of Studies and Research in Mathematics, Kuvempu University, Jnana Sahyadri, Shankaraghatta, Shimoga, Karnataka, India; Corresponding author at: Department of Studies and Research in Mathematics, Kuvempu University, Jnana Sahyadri, Shankaraghatta, Shimoga, Karnataka, India. Tel.: +91 9741148002.Department of Studies and Research in Mathematics, Kuvempu University, Jnana Sahyadri, Shankaraghatta, Shimoga, Karnataka, India; Department of Mathematics, AIMS Institutes, Peenya, Bangalore 560058, IndiaDepartment of Mechanical Engineering, Cleveland State University, Cleveland, OH, USADepartment of Studies and Research in Mathematics, Kuvempu University, Jnana Sahyadri, Shankaraghatta, Shimoga, Karnataka, IndiaA detailed investigation of two-dimensional mixed convection flow of non-Newtonian fluid due to convectively heated stretching sheet in the presence of dust particles is conducted. The influence of viscous dissipation, nonlinear thermal radiation and non-uniform heat source/sink is considered in the heat transport equation. To simulate the nonlinear thermal radiation effect, the Rosseland approximation has been used. The governing equations are transformed into a set of self-similar nonlinear ordinary differential equations by means of suitable similarity transformations, which are then solved numerically by using Shooting method. The influence of pertinent parameters on the velocity and temperature distributions of both fluid and particle phases inside the boundary layer is observed and discussed in detail. Further, the features of skin friction coefficient and Nusselt number for different values of the governing parameters are also analysed and discussed. Moreover, the numerical results of present study and those existing ones are tabulated for some limiting case. Keywords: Upper-convected Maxwell fluid, Boundary layer flow, Non-uniform heat source/sink, Convective boundary condition, Dusty fluid, Numerical solutionhttp://www.sciencedirect.com/science/article/pii/S2090447916300600
collection DOAJ
language English
format Article
sources DOAJ
author B.J. Gireesha
B. Mahanthesh
Rama Subba Reddy Gorla
K.L. Krupalakshmi
spellingShingle B.J. Gireesha
B. Mahanthesh
Rama Subba Reddy Gorla
K.L. Krupalakshmi
Mixed convection two-phase flow of Maxwell fluid under the influence of non-linear thermal radiation, non-uniform heat source/sink and fluid-particle suspension
Ain Shams Engineering Journal
author_facet B.J. Gireesha
B. Mahanthesh
Rama Subba Reddy Gorla
K.L. Krupalakshmi
author_sort B.J. Gireesha
title Mixed convection two-phase flow of Maxwell fluid under the influence of non-linear thermal radiation, non-uniform heat source/sink and fluid-particle suspension
title_short Mixed convection two-phase flow of Maxwell fluid under the influence of non-linear thermal radiation, non-uniform heat source/sink and fluid-particle suspension
title_full Mixed convection two-phase flow of Maxwell fluid under the influence of non-linear thermal radiation, non-uniform heat source/sink and fluid-particle suspension
title_fullStr Mixed convection two-phase flow of Maxwell fluid under the influence of non-linear thermal radiation, non-uniform heat source/sink and fluid-particle suspension
title_full_unstemmed Mixed convection two-phase flow of Maxwell fluid under the influence of non-linear thermal radiation, non-uniform heat source/sink and fluid-particle suspension
title_sort mixed convection two-phase flow of maxwell fluid under the influence of non-linear thermal radiation, non-uniform heat source/sink and fluid-particle suspension
publisher Elsevier
series Ain Shams Engineering Journal
issn 2090-4479
publishDate 2018-12-01
description A detailed investigation of two-dimensional mixed convection flow of non-Newtonian fluid due to convectively heated stretching sheet in the presence of dust particles is conducted. The influence of viscous dissipation, nonlinear thermal radiation and non-uniform heat source/sink is considered in the heat transport equation. To simulate the nonlinear thermal radiation effect, the Rosseland approximation has been used. The governing equations are transformed into a set of self-similar nonlinear ordinary differential equations by means of suitable similarity transformations, which are then solved numerically by using Shooting method. The influence of pertinent parameters on the velocity and temperature distributions of both fluid and particle phases inside the boundary layer is observed and discussed in detail. Further, the features of skin friction coefficient and Nusselt number for different values of the governing parameters are also analysed and discussed. Moreover, the numerical results of present study and those existing ones are tabulated for some limiting case. Keywords: Upper-convected Maxwell fluid, Boundary layer flow, Non-uniform heat source/sink, Convective boundary condition, Dusty fluid, Numerical solution
url http://www.sciencedirect.com/science/article/pii/S2090447916300600
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