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Numerical Solution of Magnetized Williamson Nanofluid Flow over an Exponentially Stretching Permeable Surface with Temperature Dependent Viscosity and Thermal Conductivity
This research work describes and investigates Williamson nanofluid flow over an exponentially stretching permeable vertical plate with temperature-dependent thermal conductivity and viscosity. The governing non-linear partial differential equations (PDEs) are metamorphosed into coupled non-linear or...
Autores principales: | , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2022
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9609392/ https://www.ncbi.nlm.nih.gov/pubmed/36296851 http://dx.doi.org/10.3390/nano12203661 |
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author | Amjad, Muhammad Ahmed, Iftikhar Ahmed, Kamran Alqarni, Marei Saeed Akbar, Tanvir Muhammad, Taseer |
author_facet | Amjad, Muhammad Ahmed, Iftikhar Ahmed, Kamran Alqarni, Marei Saeed Akbar, Tanvir Muhammad, Taseer |
author_sort | Amjad, Muhammad |
collection | PubMed |
description | This research work describes and investigates Williamson nanofluid flow over an exponentially stretching permeable vertical plate with temperature-dependent thermal conductivity and viscosity. The governing non-linear partial differential equations (PDEs) are metamorphosed into coupled non-linear ordinary differential equations (ODEs) by using similarity transformation. The succeeding equations were numerically solved using MATLAB function bvp4c for various values of parameters. For velocity, temperature, concentration, the skin friction coefficient, and the local Nusselt number, data are presented in the form of graphs and tables. It is noted that for increasing values of magnetic parameter [Formula: see text] , Williamson parameter [Formula: see text] and viscosity parameter [Formula: see text] , the boundary layer thickness of the velocity profile decreases, while it increases for the temperature profile. The findings of the present work are validated through the published results. |
format | Online Article Text |
id | pubmed-9609392 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-96093922022-10-28 Numerical Solution of Magnetized Williamson Nanofluid Flow over an Exponentially Stretching Permeable Surface with Temperature Dependent Viscosity and Thermal Conductivity Amjad, Muhammad Ahmed, Iftikhar Ahmed, Kamran Alqarni, Marei Saeed Akbar, Tanvir Muhammad, Taseer Nanomaterials (Basel) Article This research work describes and investigates Williamson nanofluid flow over an exponentially stretching permeable vertical plate with temperature-dependent thermal conductivity and viscosity. The governing non-linear partial differential equations (PDEs) are metamorphosed into coupled non-linear ordinary differential equations (ODEs) by using similarity transformation. The succeeding equations were numerically solved using MATLAB function bvp4c for various values of parameters. For velocity, temperature, concentration, the skin friction coefficient, and the local Nusselt number, data are presented in the form of graphs and tables. It is noted that for increasing values of magnetic parameter [Formula: see text] , Williamson parameter [Formula: see text] and viscosity parameter [Formula: see text] , the boundary layer thickness of the velocity profile decreases, while it increases for the temperature profile. The findings of the present work are validated through the published results. MDPI 2022-10-18 /pmc/articles/PMC9609392/ /pubmed/36296851 http://dx.doi.org/10.3390/nano12203661 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Amjad, Muhammad Ahmed, Iftikhar Ahmed, Kamran Alqarni, Marei Saeed Akbar, Tanvir Muhammad, Taseer Numerical Solution of Magnetized Williamson Nanofluid Flow over an Exponentially Stretching Permeable Surface with Temperature Dependent Viscosity and Thermal Conductivity |
title | Numerical Solution of Magnetized Williamson Nanofluid Flow over an Exponentially Stretching Permeable Surface with Temperature Dependent Viscosity and Thermal Conductivity |
title_full | Numerical Solution of Magnetized Williamson Nanofluid Flow over an Exponentially Stretching Permeable Surface with Temperature Dependent Viscosity and Thermal Conductivity |
title_fullStr | Numerical Solution of Magnetized Williamson Nanofluid Flow over an Exponentially Stretching Permeable Surface with Temperature Dependent Viscosity and Thermal Conductivity |
title_full_unstemmed | Numerical Solution of Magnetized Williamson Nanofluid Flow over an Exponentially Stretching Permeable Surface with Temperature Dependent Viscosity and Thermal Conductivity |
title_short | Numerical Solution of Magnetized Williamson Nanofluid Flow over an Exponentially Stretching Permeable Surface with Temperature Dependent Viscosity and Thermal Conductivity |
title_sort | numerical solution of magnetized williamson nanofluid flow over an exponentially stretching permeable surface with temperature dependent viscosity and thermal conductivity |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9609392/ https://www.ncbi.nlm.nih.gov/pubmed/36296851 http://dx.doi.org/10.3390/nano12203661 |
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