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Fractional order stagnation point flow of the hybrid nanofluid towards a stretching sheet

Fractional calculus characterizes a function at those points, where classical calculus failed. In the current study, we explored the fractional behavior of the stagnation point flow of hybrid nano liquid consisting of TiO(2) and Ag nanoparticles across a stretching sheet. Silver Ag and Titanium diox...

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Autores principales: Saeed, Anwar, Bilal, Muhammad, Gul, Taza, Kumam, Poom, Khan, Amir, Sohail, Muhammad
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8516945/
https://www.ncbi.nlm.nih.gov/pubmed/34650086
http://dx.doi.org/10.1038/s41598-021-00004-3
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author Saeed, Anwar
Bilal, Muhammad
Gul, Taza
Kumam, Poom
Khan, Amir
Sohail, Muhammad
author_facet Saeed, Anwar
Bilal, Muhammad
Gul, Taza
Kumam, Poom
Khan, Amir
Sohail, Muhammad
author_sort Saeed, Anwar
collection PubMed
description Fractional calculus characterizes a function at those points, where classical calculus failed. In the current study, we explored the fractional behavior of the stagnation point flow of hybrid nano liquid consisting of TiO(2) and Ag nanoparticles across a stretching sheet. Silver Ag and Titanium dioxide TiO(2) nanocomposites are one of the most significant and fascinating nanocomposites perform an important role in nanobiotechnology, especially in nanomedicine and for cancer cell therapy since these metal nanoparticles are thought to improve photocatalytic operation. The fluid movement over a stretching layer is subjected to electric and magnetic fields. The problem has been formulated in the form of the system of PDEs, which are reduced to the system of fractional-order ODEs by implementing the fractional similarity framework. The obtained fractional order differential equations are further solved via fractional code FDE-12 based on Caputo derivative. It has been perceived that the drifting velocity generated by the electric field E significantly improves the velocity and heat transition rate of blood. The fractional model is more generalized and applicable than the classical one.
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spelling pubmed-85169452021-10-15 Fractional order stagnation point flow of the hybrid nanofluid towards a stretching sheet Saeed, Anwar Bilal, Muhammad Gul, Taza Kumam, Poom Khan, Amir Sohail, Muhammad Sci Rep Article Fractional calculus characterizes a function at those points, where classical calculus failed. In the current study, we explored the fractional behavior of the stagnation point flow of hybrid nano liquid consisting of TiO(2) and Ag nanoparticles across a stretching sheet. Silver Ag and Titanium dioxide TiO(2) nanocomposites are one of the most significant and fascinating nanocomposites perform an important role in nanobiotechnology, especially in nanomedicine and for cancer cell therapy since these metal nanoparticles are thought to improve photocatalytic operation. The fluid movement over a stretching layer is subjected to electric and magnetic fields. The problem has been formulated in the form of the system of PDEs, which are reduced to the system of fractional-order ODEs by implementing the fractional similarity framework. The obtained fractional order differential equations are further solved via fractional code FDE-12 based on Caputo derivative. It has been perceived that the drifting velocity generated by the electric field E significantly improves the velocity and heat transition rate of blood. The fractional model is more generalized and applicable than the classical one. Nature Publishing Group UK 2021-10-14 /pmc/articles/PMC8516945/ /pubmed/34650086 http://dx.doi.org/10.1038/s41598-021-00004-3 Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Saeed, Anwar
Bilal, Muhammad
Gul, Taza
Kumam, Poom
Khan, Amir
Sohail, Muhammad
Fractional order stagnation point flow of the hybrid nanofluid towards a stretching sheet
title Fractional order stagnation point flow of the hybrid nanofluid towards a stretching sheet
title_full Fractional order stagnation point flow of the hybrid nanofluid towards a stretching sheet
title_fullStr Fractional order stagnation point flow of the hybrid nanofluid towards a stretching sheet
title_full_unstemmed Fractional order stagnation point flow of the hybrid nanofluid towards a stretching sheet
title_short Fractional order stagnation point flow of the hybrid nanofluid towards a stretching sheet
title_sort fractional order stagnation point flow of the hybrid nanofluid towards a stretching sheet
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8516945/
https://www.ncbi.nlm.nih.gov/pubmed/34650086
http://dx.doi.org/10.1038/s41598-021-00004-3
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