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New Solutions of Fractional Jeffrey Fluid with Ternary Nanoparticles Approach

The existing work deals with the Jeffrey fluid having an unsteady flow, which is moving along a vertical plate. A fractional model with ternary, hybrid, and nanoparticles is obtained. Using suitable dimensionless parameters, the equations for energy, momentum, and Fourier’s law were converted into n...

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Autores principales: Asjad, Muhammad Imran, Riaz, Ayesha, Alnahdi, Abeer S., Eldin, Sayed M.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9696355/
https://www.ncbi.nlm.nih.gov/pubmed/36422392
http://dx.doi.org/10.3390/mi13111963
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author Asjad, Muhammad Imran
Riaz, Ayesha
Alnahdi, Abeer S.
Eldin, Sayed M.
author_facet Asjad, Muhammad Imran
Riaz, Ayesha
Alnahdi, Abeer S.
Eldin, Sayed M.
author_sort Asjad, Muhammad Imran
collection PubMed
description The existing work deals with the Jeffrey fluid having an unsteady flow, which is moving along a vertical plate. A fractional model with ternary, hybrid, and nanoparticles is obtained. Using suitable dimensionless parameters, the equations for energy, momentum, and Fourier’s law were converted into non-dimensional equations. In order to obtain a fractional model, a fractional operator known as the Prabhakar operator is used. To find a generalized solution for temperature as well as a velocity field, the Laplace transform is used. With the help of graphs, the impact of various parameters on velocity as well as temperature distribution is obtained. As a result, it is noted that ternary nanoparticles approach can be used to increase the temperature than the results obtained in the recent existing literature. The obtained solutions are also useful in the sense of choosing base fluids (water, kerosene and engine oil) for nanoparticles to achieved the desired results. Further, by finding the specific value of fractional parameters, the thermal and boundary layers can be controlled for different times. Such a fractional approach is very helpful in handling the experimental data by using theoretical information. Moreover, the rate of heat transfer for ternary nanoparticles is greater in comparison to hybrid and mono nanoparticles. For large values of fractional parameters, the rate of heat transfer decreases while skin friction increases. Finally, the present results are the improvement of the results that have already been published recently in the existing literature. Fractional calculus enables us to control the boundary layers as well as rate of heat transfer and skin friction for finding suitable values of fractional parameters. This approach can be very helpful in electronic devices and industrial heat management system.
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spelling pubmed-96963552022-11-26 New Solutions of Fractional Jeffrey Fluid with Ternary Nanoparticles Approach Asjad, Muhammad Imran Riaz, Ayesha Alnahdi, Abeer S. Eldin, Sayed M. Micromachines (Basel) Article The existing work deals with the Jeffrey fluid having an unsteady flow, which is moving along a vertical plate. A fractional model with ternary, hybrid, and nanoparticles is obtained. Using suitable dimensionless parameters, the equations for energy, momentum, and Fourier’s law were converted into non-dimensional equations. In order to obtain a fractional model, a fractional operator known as the Prabhakar operator is used. To find a generalized solution for temperature as well as a velocity field, the Laplace transform is used. With the help of graphs, the impact of various parameters on velocity as well as temperature distribution is obtained. As a result, it is noted that ternary nanoparticles approach can be used to increase the temperature than the results obtained in the recent existing literature. The obtained solutions are also useful in the sense of choosing base fluids (water, kerosene and engine oil) for nanoparticles to achieved the desired results. Further, by finding the specific value of fractional parameters, the thermal and boundary layers can be controlled for different times. Such a fractional approach is very helpful in handling the experimental data by using theoretical information. Moreover, the rate of heat transfer for ternary nanoparticles is greater in comparison to hybrid and mono nanoparticles. For large values of fractional parameters, the rate of heat transfer decreases while skin friction increases. Finally, the present results are the improvement of the results that have already been published recently in the existing literature. Fractional calculus enables us to control the boundary layers as well as rate of heat transfer and skin friction for finding suitable values of fractional parameters. This approach can be very helpful in electronic devices and industrial heat management system. MDPI 2022-11-12 /pmc/articles/PMC9696355/ /pubmed/36422392 http://dx.doi.org/10.3390/mi13111963 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
Asjad, Muhammad Imran
Riaz, Ayesha
Alnahdi, Abeer S.
Eldin, Sayed M.
New Solutions of Fractional Jeffrey Fluid with Ternary Nanoparticles Approach
title New Solutions of Fractional Jeffrey Fluid with Ternary Nanoparticles Approach
title_full New Solutions of Fractional Jeffrey Fluid with Ternary Nanoparticles Approach
title_fullStr New Solutions of Fractional Jeffrey Fluid with Ternary Nanoparticles Approach
title_full_unstemmed New Solutions of Fractional Jeffrey Fluid with Ternary Nanoparticles Approach
title_short New Solutions of Fractional Jeffrey Fluid with Ternary Nanoparticles Approach
title_sort new solutions of fractional jeffrey fluid with ternary nanoparticles approach
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9696355/
https://www.ncbi.nlm.nih.gov/pubmed/36422392
http://dx.doi.org/10.3390/mi13111963
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