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Analysis of fuzzified boundary value problems for MHD Couette and Poiseuille flow

In an uncertain atmosphere, the magnetohydrodynamics (MHD) flow in three principal flows of the third grade fluid across two parallel plates is presented. Fuzzy differential equations are constructed by manipulating dimensionless differential equations. The prime purpose of the current article is to...

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Autores principales: Siddique, Imran, Nadeem, Muhammad, Khan, Ilyas, Jamil, Raja Noshad, Shamseldin, Mohamed A., Akgül, Ali
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9120497/
https://www.ncbi.nlm.nih.gov/pubmed/35589815
http://dx.doi.org/10.1038/s41598-022-12110-x
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author Siddique, Imran
Nadeem, Muhammad
Khan, Ilyas
Jamil, Raja Noshad
Shamseldin, Mohamed A.
Akgül, Ali
author_facet Siddique, Imran
Nadeem, Muhammad
Khan, Ilyas
Jamil, Raja Noshad
Shamseldin, Mohamed A.
Akgül, Ali
author_sort Siddique, Imran
collection PubMed
description In an uncertain atmosphere, the magnetohydrodynamics (MHD) flow in three principal flows of the third grade fluid across two parallel plates is presented. Fuzzy differential equations are constructed by manipulating dimensionless differential equations. The prime purpose of the current article is to use a semi-analytical approach fuzzy-based Adomian decomposition method to achieve numerical results for nonlinear FDEs with fuzzy boundary conditions. Triangular fuzzy numbers are used in fuzzy BCs with help of [Formula: see text] approach. This strategy is linked to the membership function. In a graphic and tabular depiction, the effect of [Formula: see text] and other constraints on fuzzy velocity profiles is explored. The current findings are in good agreement with their previous numerical and analytical results in a crisp environment.
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spelling pubmed-91204972022-05-21 Analysis of fuzzified boundary value problems for MHD Couette and Poiseuille flow Siddique, Imran Nadeem, Muhammad Khan, Ilyas Jamil, Raja Noshad Shamseldin, Mohamed A. Akgül, Ali Sci Rep Article In an uncertain atmosphere, the magnetohydrodynamics (MHD) flow in three principal flows of the third grade fluid across two parallel plates is presented. Fuzzy differential equations are constructed by manipulating dimensionless differential equations. The prime purpose of the current article is to use a semi-analytical approach fuzzy-based Adomian decomposition method to achieve numerical results for nonlinear FDEs with fuzzy boundary conditions. Triangular fuzzy numbers are used in fuzzy BCs with help of [Formula: see text] approach. This strategy is linked to the membership function. In a graphic and tabular depiction, the effect of [Formula: see text] and other constraints on fuzzy velocity profiles is explored. The current findings are in good agreement with their previous numerical and analytical results in a crisp environment. Nature Publishing Group UK 2022-05-19 /pmc/articles/PMC9120497/ /pubmed/35589815 http://dx.doi.org/10.1038/s41598-022-12110-x Text en © The Author(s) 2022 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
Siddique, Imran
Nadeem, Muhammad
Khan, Ilyas
Jamil, Raja Noshad
Shamseldin, Mohamed A.
Akgül, Ali
Analysis of fuzzified boundary value problems for MHD Couette and Poiseuille flow
title Analysis of fuzzified boundary value problems for MHD Couette and Poiseuille flow
title_full Analysis of fuzzified boundary value problems for MHD Couette and Poiseuille flow
title_fullStr Analysis of fuzzified boundary value problems for MHD Couette and Poiseuille flow
title_full_unstemmed Analysis of fuzzified boundary value problems for MHD Couette and Poiseuille flow
title_short Analysis of fuzzified boundary value problems for MHD Couette and Poiseuille flow
title_sort analysis of fuzzified boundary value problems for mhd couette and poiseuille flow
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9120497/
https://www.ncbi.nlm.nih.gov/pubmed/35589815
http://dx.doi.org/10.1038/s41598-022-12110-x
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