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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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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