Boundary layer flow of dusty fluid over a radiating stretching surface embedded in a thermally stratified porous medium in the presence of uniform heat source

Numerical investigation for the effect of thermal stratification on MHD flow and heat transfer of dusty fluid over a vertical stretching sheet embedded in a thermally stratified porous medium in the presence of uniform heat source and thermal radiation. The governing equations for the problem were r...

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Main Authors: Gireesha B.J., Venkatesh P., Shashikumar N.S., Prasannakumara B.C.
Format: Article
Language:English
Published: De Gruyter 2017-03-01
Series:Nonlinear Engineering
Subjects:
Online Access:https://doi.org/10.1515/nleng-2016-0058
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author Gireesha B.J.
Venkatesh P.
Shashikumar N.S.
Prasannakumara B.C.
author_facet Gireesha B.J.
Venkatesh P.
Shashikumar N.S.
Prasannakumara B.C.
author_sort Gireesha B.J.
collection DOAJ
description Numerical investigation for the effect of thermal stratification on MHD flow and heat transfer of dusty fluid over a vertical stretching sheet embedded in a thermally stratified porous medium in the presence of uniform heat source and thermal radiation. The governing equations for the problem were reduced in to dimensionless ordinary differential equations using suitable similarity transformations. The transformed nonlinear ordinary differential equations are numerically solved by applying efficient RungeKutta Fehlberg-45 Method with shooting technique. The effects of various flow controlling parameters such as Prandtl number, heat source/sink parameter, fluid particle interaction parameter, heat source parameter, radiation parameter on velocity and temperature distributions of both fluid and dust phases are depicted graphically. Finally, the numerical results are compared and found to be in good agreement with previously published results under special cases. The results indicate that the fluid phase velocity is always greater than that of the particle phase and thermal stratification significantly affects the surface shear stress as well as the surface heat transfer.
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spelling doaj.art-20681b015f4c4df18d7fc704ec8fa2922022-12-21T22:39:35ZengDe GruyterNonlinear Engineering2192-80102192-80292017-03-0161314110.1515/nleng-2016-0058Boundary layer flow of dusty fluid over a radiating stretching surface embedded in a thermally stratified porous medium in the presence of uniform heat sourceGireesha B.J.0Venkatesh P.1Shashikumar N.S.2Prasannakumara B.C.3 Department of Studies and Research in Mathematics, Kuvempu University, Shankaraghatta-577 451, Shimoga, Karnataka, India Department of Mathematics, Sahyadri Science College, Shimoga-577 501, Karnataka, India Department of Mathematics, Government First Grade College, Koppa-577 126, Karnataka, India Department of Mathematics, Government First Grade College, Koppa-577 126, Karnataka, IndiaNumerical investigation for the effect of thermal stratification on MHD flow and heat transfer of dusty fluid over a vertical stretching sheet embedded in a thermally stratified porous medium in the presence of uniform heat source and thermal radiation. The governing equations for the problem were reduced in to dimensionless ordinary differential equations using suitable similarity transformations. The transformed nonlinear ordinary differential equations are numerically solved by applying efficient RungeKutta Fehlberg-45 Method with shooting technique. The effects of various flow controlling parameters such as Prandtl number, heat source/sink parameter, fluid particle interaction parameter, heat source parameter, radiation parameter on velocity and temperature distributions of both fluid and dust phases are depicted graphically. Finally, the numerical results are compared and found to be in good agreement with previously published results under special cases. The results indicate that the fluid phase velocity is always greater than that of the particle phase and thermal stratification significantly affects the surface shear stress as well as the surface heat transfer.https://doi.org/10.1515/nleng-2016-0058thermal stratificationthermal radiationvertical stretching sheetporous medium
spellingShingle Gireesha B.J.
Venkatesh P.
Shashikumar N.S.
Prasannakumara B.C.
Boundary layer flow of dusty fluid over a radiating stretching surface embedded in a thermally stratified porous medium in the presence of uniform heat source
Nonlinear Engineering
thermal stratification
thermal radiation
vertical stretching sheet
porous medium
title Boundary layer flow of dusty fluid over a radiating stretching surface embedded in a thermally stratified porous medium in the presence of uniform heat source
title_full Boundary layer flow of dusty fluid over a radiating stretching surface embedded in a thermally stratified porous medium in the presence of uniform heat source
title_fullStr Boundary layer flow of dusty fluid over a radiating stretching surface embedded in a thermally stratified porous medium in the presence of uniform heat source
title_full_unstemmed Boundary layer flow of dusty fluid over a radiating stretching surface embedded in a thermally stratified porous medium in the presence of uniform heat source
title_short Boundary layer flow of dusty fluid over a radiating stretching surface embedded in a thermally stratified porous medium in the presence of uniform heat source
title_sort boundary layer flow of dusty fluid over a radiating stretching surface embedded in a thermally stratified porous medium in the presence of uniform heat source
topic thermal stratification
thermal radiation
vertical stretching sheet
porous medium
url https://doi.org/10.1515/nleng-2016-0058
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AT shashikumarns boundarylayerflowofdustyfluidoveraradiatingstretchingsurfaceembeddedinathermallystratifiedporousmediuminthepresenceofuniformheatsource
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