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Generalized Magnetic Field Effects in Burgers' Nanofluid Model

Analysis has been conducted to present the generalized magnetic field effects on the flow of a Burgers' nanofluid over an inclined wall. Mathematical modelling for hydro-magnetics reveals that the term “[Image: see text] ” is for the Newtonian model whereas the generalized magnetic field term (...

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Autores principales: Rashidi, M. M., Yang, Z., Awais, Muhammad, Nawaz, Maria, Hayat, Tasawar
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2017
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5207493/
https://www.ncbi.nlm.nih.gov/pubmed/28045965
http://dx.doi.org/10.1371/journal.pone.0168923
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author Rashidi, M. M.
Yang, Z.
Awais, Muhammad
Nawaz, Maria
Hayat, Tasawar
author_facet Rashidi, M. M.
Yang, Z.
Awais, Muhammad
Nawaz, Maria
Hayat, Tasawar
author_sort Rashidi, M. M.
collection PubMed
description Analysis has been conducted to present the generalized magnetic field effects on the flow of a Burgers' nanofluid over an inclined wall. Mathematical modelling for hydro-magnetics reveals that the term “[Image: see text] ” is for the Newtonian model whereas the generalized magnetic field term (as mentioned in Eq 4) is for the Burgers’ model which is incorporated in the current analysis to get the real insight of the problem for hydro-magnetics. Brownian motion and thermophoresis phenomenon are presented to analyze the nanofluidics for the non-Newtonian fluid. Mathematical analysis is completed in the presence of non-uniform heat generation/absorption. The constructed set of partial differential system is converted into coupled nonlinear ordinary differential system by employing the suitable transformations. Homotopy approach is employed to construct the analytical solutions which are shown graphically for sundr5y parameters including Deborah numbers, magnetic field, thermophoresis, Brownian motion and non-uniform heat generation/absorption. A comparative study is also presented showing the comparison of present results with an already published data.
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spelling pubmed-52074932017-01-25 Generalized Magnetic Field Effects in Burgers' Nanofluid Model Rashidi, M. M. Yang, Z. Awais, Muhammad Nawaz, Maria Hayat, Tasawar PLoS One Research Article Analysis has been conducted to present the generalized magnetic field effects on the flow of a Burgers' nanofluid over an inclined wall. Mathematical modelling for hydro-magnetics reveals that the term “[Image: see text] ” is for the Newtonian model whereas the generalized magnetic field term (as mentioned in Eq 4) is for the Burgers’ model which is incorporated in the current analysis to get the real insight of the problem for hydro-magnetics. Brownian motion and thermophoresis phenomenon are presented to analyze the nanofluidics for the non-Newtonian fluid. Mathematical analysis is completed in the presence of non-uniform heat generation/absorption. The constructed set of partial differential system is converted into coupled nonlinear ordinary differential system by employing the suitable transformations. Homotopy approach is employed to construct the analytical solutions which are shown graphically for sundr5y parameters including Deborah numbers, magnetic field, thermophoresis, Brownian motion and non-uniform heat generation/absorption. A comparative study is also presented showing the comparison of present results with an already published data. Public Library of Science 2017-01-03 /pmc/articles/PMC5207493/ /pubmed/28045965 http://dx.doi.org/10.1371/journal.pone.0168923 Text en © 2017 Rashidi et al http://creativecommons.org/licenses/by/4.0/ This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
spellingShingle Research Article
Rashidi, M. M.
Yang, Z.
Awais, Muhammad
Nawaz, Maria
Hayat, Tasawar
Generalized Magnetic Field Effects in Burgers' Nanofluid Model
title Generalized Magnetic Field Effects in Burgers' Nanofluid Model
title_full Generalized Magnetic Field Effects in Burgers' Nanofluid Model
title_fullStr Generalized Magnetic Field Effects in Burgers' Nanofluid Model
title_full_unstemmed Generalized Magnetic Field Effects in Burgers' Nanofluid Model
title_short Generalized Magnetic Field Effects in Burgers' Nanofluid Model
title_sort generalized magnetic field effects in burgers' nanofluid model
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5207493/
https://www.ncbi.nlm.nih.gov/pubmed/28045965
http://dx.doi.org/10.1371/journal.pone.0168923
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