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Partial differential equations modeling of bio-convective sutterby nanofluid flow through paraboloid surface
In this research article, the behavior of 2D non-Newtonian Sutterby nanofluid flow over the parabolic surface is discussed. In boundary region of surface buoyancy-driven flow occurred due to considerable temperature differences produced by the reaction happen between Sutterby nanofluid and catalyst...
Autores principales: | , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2023
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10105749/ https://www.ncbi.nlm.nih.gov/pubmed/37061555 http://dx.doi.org/10.1038/s41598-023-32902-z |
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author | Abdul Basit, Muhammad Imran, Muhammad Khan, Shan Ali Alhushaybari, Abdullah Sadat, R. Ali, Mohamed R. |
author_facet | Abdul Basit, Muhammad Imran, Muhammad Khan, Shan Ali Alhushaybari, Abdullah Sadat, R. Ali, Mohamed R. |
author_sort | Abdul Basit, Muhammad |
collection | PubMed |
description | In this research article, the behavior of 2D non-Newtonian Sutterby nanofluid flow over the parabolic surface is discussed. In boundary region of surface buoyancy-driven flow occurred due to considerable temperature differences produced by the reaction happen between Sutterby nanofluid and catalyst at the surface. Free convection which is sighted easily on the parabolic surface is initiated by reaction on the catalyst surface modeled the 1st order activation energy. Applications of parabolic surfaces are upper cover of bullet, car bonnet, and air crafts. Under discussion flow is modelled mathematically by implementing law of conservation of microorganism’s concentration, momentum, mass and heat. The governing equations of the system is of the form of non-linear PDE’s. By the use of similarity transform, the governing PDE`s transformed as non-dimensional ODE’s. The resultant system of non-dimensional ODE’s are numerically solved by built-in function MATLAB package named as ‘bvp4c’. Graphical representation shows the influence of different parameters in the concentration, velocity, microorganisms and temperature profiles of the system. In temperature profile, we examined the impact of thermophoresis coefficient Nt (0.1, 0.5, 1.0), Prandtl number Pr (2.0, 3.0, 4.0), and Brownian motion variable Nb (0.1, 0.3, 0.5). Velocity profile depends on the non-dimensional parameters i.e. (Deborah number De & Hartmann number Ha) and found that these numbers (De, Ha) cause downfall in profile. Furthermore, mass transfer, skin friction, and heat transfer rates are numerically computed. The purpose of the study is to enumerate the significance of parabolic surfaces for the transport of heat and mass through the flow of bio-convective Sutterby nanofluid. |
format | Online Article Text |
id | pubmed-10105749 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-101057492023-04-17 Partial differential equations modeling of bio-convective sutterby nanofluid flow through paraboloid surface Abdul Basit, Muhammad Imran, Muhammad Khan, Shan Ali Alhushaybari, Abdullah Sadat, R. Ali, Mohamed R. Sci Rep Article In this research article, the behavior of 2D non-Newtonian Sutterby nanofluid flow over the parabolic surface is discussed. In boundary region of surface buoyancy-driven flow occurred due to considerable temperature differences produced by the reaction happen between Sutterby nanofluid and catalyst at the surface. Free convection which is sighted easily on the parabolic surface is initiated by reaction on the catalyst surface modeled the 1st order activation energy. Applications of parabolic surfaces are upper cover of bullet, car bonnet, and air crafts. Under discussion flow is modelled mathematically by implementing law of conservation of microorganism’s concentration, momentum, mass and heat. The governing equations of the system is of the form of non-linear PDE’s. By the use of similarity transform, the governing PDE`s transformed as non-dimensional ODE’s. The resultant system of non-dimensional ODE’s are numerically solved by built-in function MATLAB package named as ‘bvp4c’. Graphical representation shows the influence of different parameters in the concentration, velocity, microorganisms and temperature profiles of the system. In temperature profile, we examined the impact of thermophoresis coefficient Nt (0.1, 0.5, 1.0), Prandtl number Pr (2.0, 3.0, 4.0), and Brownian motion variable Nb (0.1, 0.3, 0.5). Velocity profile depends on the non-dimensional parameters i.e. (Deborah number De & Hartmann number Ha) and found that these numbers (De, Ha) cause downfall in profile. Furthermore, mass transfer, skin friction, and heat transfer rates are numerically computed. The purpose of the study is to enumerate the significance of parabolic surfaces for the transport of heat and mass through the flow of bio-convective Sutterby nanofluid. Nature Publishing Group UK 2023-04-15 /pmc/articles/PMC10105749/ /pubmed/37061555 http://dx.doi.org/10.1038/s41598-023-32902-z Text en © The Author(s) 2023 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 Abdul Basit, Muhammad Imran, Muhammad Khan, Shan Ali Alhushaybari, Abdullah Sadat, R. Ali, Mohamed R. Partial differential equations modeling of bio-convective sutterby nanofluid flow through paraboloid surface |
title | Partial differential equations modeling of bio-convective sutterby nanofluid flow through paraboloid surface |
title_full | Partial differential equations modeling of bio-convective sutterby nanofluid flow through paraboloid surface |
title_fullStr | Partial differential equations modeling of bio-convective sutterby nanofluid flow through paraboloid surface |
title_full_unstemmed | Partial differential equations modeling of bio-convective sutterby nanofluid flow through paraboloid surface |
title_short | Partial differential equations modeling of bio-convective sutterby nanofluid flow through paraboloid surface |
title_sort | partial differential equations modeling of bio-convective sutterby nanofluid flow through paraboloid surface |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10105749/ https://www.ncbi.nlm.nih.gov/pubmed/37061555 http://dx.doi.org/10.1038/s41598-023-32902-z |
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