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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...
Autores principales: | , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2021
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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. |
format | Online Article Text |
id | pubmed-8516945 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
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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