Homotopic solutions for stagnation point flow of third-grade nanoliquid subject to magnetohydrodynamics
The prime intention here in this investigation is to report the influences of Brownian diffusion and thermophoresis in stagnation point flow towards a nonlinear stretching surface. Magnetohydrodynamic (MHD) third grade fluid is considered. Consideration of non-uniform heat generation/absorption char...
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doaj-f5c13a627f9f48d6bf19dfd8e2bf056a2020-11-25T02:02:56ZengElsevierResults in Physics2211-37972017-01-01743104317Homotopic solutions for stagnation point flow of third-grade nanoliquid subject to magnetohydrodynamicsT. Hayat0Habiba Khalid1M. Waqas2A. Alsaedi3M. Ayub4Department of Mathematics, Quaid-i-Azam University, 45320 Islamabad 44000, Pakistan; Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80257, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Quaid-i-Azam University, 45320 Islamabad 44000, PakistanDepartment of Mathematics, Quaid-i-Azam University, 45320 Islamabad 44000, Pakistan; Corresponding author.Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80257, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Quaid-i-Azam University, 45320 Islamabad 44000, PakistanThe prime intention here in this investigation is to report the influences of Brownian diffusion and thermophoresis in stagnation point flow towards a nonlinear stretching surface. Magnetohydrodynamic (MHD) third grade fluid is considered. Consideration of non-uniform heat generation/absorption characterizes the heat transfer process. Homotopy algorithm is adopted for local similar solution of highly nonlinear problems. Characteristics of material parameters, Hartman number, ratio of rate constants, thermophoresis parameter, heat generation/absorption parameter, Prandtl number, Brownian diffusion parameter and Schmidt number on the velocity, temperature, nanoparticles concentration, surface drag force and Nusselt and Sherwood numbers are addressed via graphs and tables. The results established here disclose that the velocity distribution decays via larger Hartman number. Moreover an increment in Brownian diffusion and thermophoresis variables cause an enhancement in temperature distribution whereas opposite scenario is noticed for these aspects for nanoparticle concentration. Keywords: Magneto third-grade liquid, Stagnation point flow, Nanoliquid, Heat generation, Slendering sheethttp://www.sciencedirect.com/science/article/pii/S2211379717312780 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
T. Hayat Habiba Khalid M. Waqas A. Alsaedi M. Ayub |
spellingShingle |
T. Hayat Habiba Khalid M. Waqas A. Alsaedi M. Ayub Homotopic solutions for stagnation point flow of third-grade nanoliquid subject to magnetohydrodynamics Results in Physics |
author_facet |
T. Hayat Habiba Khalid M. Waqas A. Alsaedi M. Ayub |
author_sort |
T. Hayat |
title |
Homotopic solutions for stagnation point flow of third-grade nanoliquid subject to magnetohydrodynamics |
title_short |
Homotopic solutions for stagnation point flow of third-grade nanoliquid subject to magnetohydrodynamics |
title_full |
Homotopic solutions for stagnation point flow of third-grade nanoliquid subject to magnetohydrodynamics |
title_fullStr |
Homotopic solutions for stagnation point flow of third-grade nanoliquid subject to magnetohydrodynamics |
title_full_unstemmed |
Homotopic solutions for stagnation point flow of third-grade nanoliquid subject to magnetohydrodynamics |
title_sort |
homotopic solutions for stagnation point flow of third-grade nanoliquid subject to magnetohydrodynamics |
publisher |
Elsevier |
series |
Results in Physics |
issn |
2211-3797 |
publishDate |
2017-01-01 |
description |
The prime intention here in this investigation is to report the influences of Brownian diffusion and thermophoresis in stagnation point flow towards a nonlinear stretching surface. Magnetohydrodynamic (MHD) third grade fluid is considered. Consideration of non-uniform heat generation/absorption characterizes the heat transfer process. Homotopy algorithm is adopted for local similar solution of highly nonlinear problems. Characteristics of material parameters, Hartman number, ratio of rate constants, thermophoresis parameter, heat generation/absorption parameter, Prandtl number, Brownian diffusion parameter and Schmidt number on the velocity, temperature, nanoparticles concentration, surface drag force and Nusselt and Sherwood numbers are addressed via graphs and tables. The results established here disclose that the velocity distribution decays via larger Hartman number. Moreover an increment in Brownian diffusion and thermophoresis variables cause an enhancement in temperature distribution whereas opposite scenario is noticed for these aspects for nanoparticle concentration. Keywords: Magneto third-grade liquid, Stagnation point flow, Nanoliquid, Heat generation, Slendering sheet |
url |
http://www.sciencedirect.com/science/article/pii/S2211379717312780 |
work_keys_str_mv |
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