Analytical solution of MHD bioconvection Williamson nanofluid flow over an exponentially stretching sheet with the impact of viscous dissipation and gyrotactic microorganism.

Nanofluids achieve high thermal transport efficiency by uniformly dispersing small particles in base liquids, significantly enhancing the heat transfer coefficients and making them vital in various thermal engineering applications. The research examines non-uniform thermal conductivity and activatio...

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Main Authors: Siva Sankari, M Eswara Rao, Awatif M A Elsiddieg, Waris Khan, O D Makinde, Taoufik Saidani, Naoufel Kraiem, Hakim Al Garalleh
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2025-01-01
Series:PLoS ONE
Online Access:https://doi.org/10.1371/journal.pone.0306358
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author Siva Sankari
M Eswara Rao
Awatif M A Elsiddieg
Waris Khan
O D Makinde
Taoufik Saidani
Naoufel Kraiem
Hakim Al Garalleh
author_facet Siva Sankari
M Eswara Rao
Awatif M A Elsiddieg
Waris Khan
O D Makinde
Taoufik Saidani
Naoufel Kraiem
Hakim Al Garalleh
author_sort Siva Sankari
collection DOAJ
description Nanofluids achieve high thermal transport efficiency by uniformly dispersing small particles in base liquids, significantly enhancing the heat transfer coefficients and making them vital in various thermal engineering applications. The research examines non-uniform thermal conductivity and activation energy critical for accurately describing fluid behaviour. The study incorporates bioconvection to prevent nanoparticle settling and ensure fluid stability through motile microorganisms. The governing partial differential equations are converted into ordinary differential equations that are solved using the Homotopy Analysis Method (HAM), to provide a strong mathematical framework for the analysis. This study finds that the velocity of the fluid decreases with magnetic constraint intensification and time retardation. however, heat transfer increases at higher radiation, and heat absorption/emission parameters but decreases with a higher Prandtl number, while an increased Schmidt number leads to decreased concentration profiles. This paper investigates a nano-Williamson fluid (NWF) flow over an exponentially stretched surface in a permeable medium, considering essential variables such as mixed convection, electromagnetic forces, non-linear thermal radiation, heat production, Joule heating and ohmic dissipation that are essential for understanding its complicated behavior.
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issn 1932-6203
language English
publishDate 2025-01-01
publisher Public Library of Science (PLoS)
record_format Article
series PLoS ONE
spelling doaj-art-cbe704dc3bf4431f987dff78cda4bb1e2025-08-20T01:55:22ZengPublic Library of Science (PLoS)PLoS ONE1932-62032025-01-01203e030635810.1371/journal.pone.0306358Analytical solution of MHD bioconvection Williamson nanofluid flow over an exponentially stretching sheet with the impact of viscous dissipation and gyrotactic microorganism.Siva SankariM Eswara RaoAwatif M A ElsiddiegWaris KhanO D MakindeTaoufik SaidaniNaoufel KraiemHakim Al GarallehNanofluids achieve high thermal transport efficiency by uniformly dispersing small particles in base liquids, significantly enhancing the heat transfer coefficients and making them vital in various thermal engineering applications. The research examines non-uniform thermal conductivity and activation energy critical for accurately describing fluid behaviour. The study incorporates bioconvection to prevent nanoparticle settling and ensure fluid stability through motile microorganisms. The governing partial differential equations are converted into ordinary differential equations that are solved using the Homotopy Analysis Method (HAM), to provide a strong mathematical framework for the analysis. This study finds that the velocity of the fluid decreases with magnetic constraint intensification and time retardation. however, heat transfer increases at higher radiation, and heat absorption/emission parameters but decreases with a higher Prandtl number, while an increased Schmidt number leads to decreased concentration profiles. This paper investigates a nano-Williamson fluid (NWF) flow over an exponentially stretched surface in a permeable medium, considering essential variables such as mixed convection, electromagnetic forces, non-linear thermal radiation, heat production, Joule heating and ohmic dissipation that are essential for understanding its complicated behavior.https://doi.org/10.1371/journal.pone.0306358
spellingShingle Siva Sankari
M Eswara Rao
Awatif M A Elsiddieg
Waris Khan
O D Makinde
Taoufik Saidani
Naoufel Kraiem
Hakim Al Garalleh
Analytical solution of MHD bioconvection Williamson nanofluid flow over an exponentially stretching sheet with the impact of viscous dissipation and gyrotactic microorganism.
PLoS ONE
title Analytical solution of MHD bioconvection Williamson nanofluid flow over an exponentially stretching sheet with the impact of viscous dissipation and gyrotactic microorganism.
title_full Analytical solution of MHD bioconvection Williamson nanofluid flow over an exponentially stretching sheet with the impact of viscous dissipation and gyrotactic microorganism.
title_fullStr Analytical solution of MHD bioconvection Williamson nanofluid flow over an exponentially stretching sheet with the impact of viscous dissipation and gyrotactic microorganism.
title_full_unstemmed Analytical solution of MHD bioconvection Williamson nanofluid flow over an exponentially stretching sheet with the impact of viscous dissipation and gyrotactic microorganism.
title_short Analytical solution of MHD bioconvection Williamson nanofluid flow over an exponentially stretching sheet with the impact of viscous dissipation and gyrotactic microorganism.
title_sort analytical solution of mhd bioconvection williamson nanofluid flow over an exponentially stretching sheet with the impact of viscous dissipation and gyrotactic microorganism
url https://doi.org/10.1371/journal.pone.0306358
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