Nonlinear convection flow of Williamson nanofluid past a radially stretching surface

In the current study, a non-linear convection flow of Williamson nanofluid past a radially stretching surface under the application of electric field has been inspected. The simplified joined non-linear ordinary differential equations are acquired from the partial differential equations which are fo...

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Main Authors: Wubshet Ibrahim, Dachasa Gamachu
Format: Article
Language:English
Published: AIP Publishing LLC 2019-08-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.5113688
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spelling doaj-aec8b58ae3f84f999f0600acf32349892020-11-25T01:34:00ZengAIP Publishing LLCAIP Advances2158-32262019-08-0198085026085026-1210.1063/1.5113688077908ADVNonlinear convection flow of Williamson nanofluid past a radially stretching surfaceWubshet Ibrahim0Dachasa Gamachu1Mathematics Department, Ambo University, Ambo, EthiopiaMathematics Department, Ambo University, Ambo, EthiopiaIn the current study, a non-linear convection flow of Williamson nanofluid past a radially stretching surface under the application of electric field has been inspected. The simplified joined non-linear ordinary differential equations are acquired from the partial differential equations which are formulated from the flow problems and then, are altered into dimensionless form employing appropriate resemblance transformation and also, the multivariate nonlinear terms are linearised with the help of Taylor series expansion technique. Then ensuing nonlinear ordinary partial differential equations with matching boundary conditions are solved numerically by utilizing spectral Quasilinearization method (SQLM). The influence of pertinent parameters on different flow fields are probed and conferred in depth by means of numerous plots and tables. The outcomes demonstrate that the velocity profile f′(η) enlarges as the value of electric field E1, buoyancy λ and nonlinear convection λ1 parameters are upgraded. Also, both temperature and concentration profiles augment with a boost in values of magnetic field and thermopherasis parameters. The results also signify that, for bigger values of magnetic field parameter M, the numerical value of local Nusselt number and Sherwood number are declined.http://dx.doi.org/10.1063/1.5113688
collection DOAJ
language English
format Article
sources DOAJ
author Wubshet Ibrahim
Dachasa Gamachu
spellingShingle Wubshet Ibrahim
Dachasa Gamachu
Nonlinear convection flow of Williamson nanofluid past a radially stretching surface
AIP Advances
author_facet Wubshet Ibrahim
Dachasa Gamachu
author_sort Wubshet Ibrahim
title Nonlinear convection flow of Williamson nanofluid past a radially stretching surface
title_short Nonlinear convection flow of Williamson nanofluid past a radially stretching surface
title_full Nonlinear convection flow of Williamson nanofluid past a radially stretching surface
title_fullStr Nonlinear convection flow of Williamson nanofluid past a radially stretching surface
title_full_unstemmed Nonlinear convection flow of Williamson nanofluid past a radially stretching surface
title_sort nonlinear convection flow of williamson nanofluid past a radially stretching surface
publisher AIP Publishing LLC
series AIP Advances
issn 2158-3226
publishDate 2019-08-01
description In the current study, a non-linear convection flow of Williamson nanofluid past a radially stretching surface under the application of electric field has been inspected. The simplified joined non-linear ordinary differential equations are acquired from the partial differential equations which are formulated from the flow problems and then, are altered into dimensionless form employing appropriate resemblance transformation and also, the multivariate nonlinear terms are linearised with the help of Taylor series expansion technique. Then ensuing nonlinear ordinary partial differential equations with matching boundary conditions are solved numerically by utilizing spectral Quasilinearization method (SQLM). The influence of pertinent parameters on different flow fields are probed and conferred in depth by means of numerous plots and tables. The outcomes demonstrate that the velocity profile f′(η) enlarges as the value of electric field E1, buoyancy λ and nonlinear convection λ1 parameters are upgraded. Also, both temperature and concentration profiles augment with a boost in values of magnetic field and thermopherasis parameters. The results also signify that, for bigger values of magnetic field parameter M, the numerical value of local Nusselt number and Sherwood number are declined.
url http://dx.doi.org/10.1063/1.5113688
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