A comprehensive numerical study exploring the significance of thermally reactive bioconvection in Falkner-Skan flow of Williamson nanomaterials influenced by activation energy and buoyancy forces

Heat and mass transport performance is greatly improved in a variety of industrial, engineering, and technological applications by the advanced thermal properties of nanomaterials, which are enhanced by chemical reactions, nonlinear thermal radiation, nonuniform heat sources/sinks, Arrhenius kinetic...

Full description

Saved in:
Bibliographic Details
Main Authors: M. Israr Ur Rehman, Haibo Chen, Aamir Hamid, Wu Qian, Refka Ghodhbani, Mohamed Hussien
Format: Article
Language:English
Published: Elsevier 2025-02-01
Series:Case Studies in Thermal Engineering
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2214157X25000450
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832573251530784768
author M. Israr Ur Rehman
Haibo Chen
Aamir Hamid
Wu Qian
Refka Ghodhbani
Mohamed Hussien
author_facet M. Israr Ur Rehman
Haibo Chen
Aamir Hamid
Wu Qian
Refka Ghodhbani
Mohamed Hussien
author_sort M. Israr Ur Rehman
collection DOAJ
description Heat and mass transport performance is greatly improved in a variety of industrial, engineering, and technological applications by the advanced thermal properties of nanomaterials, which are enhanced by chemical reactions, nonlinear thermal radiation, nonuniform heat sources/sinks, Arrhenius kinetic energy, and induced electromagnetic forces. The analysis is further improved by adding thermophoretic diffusion and Brownian motion to the energy and concentration equations Bio-fuels, enzymes, industry, bio-sensors, petroleum, and a number of other novel biotechnological features are also influenced by the bioconvective mechanisms in nanomaterials. Motivated by these properties, this study investigates the rheological behavior of non-Darcian Williamson nanomaterials interacting with motile microorganisms, driven by Falkner-Skan wedge surfaces. Similarity transformations are used to convert the system of partial differential equations into a system of ordinary differential equations, which are then numerically solved using the Runge–Kutta–Fehlberg (RKF-45) method. After the system has been altered, the physical parameters that result are examined and shown graphically. The raising valuation of wedge angle parameter diminished the velocity and friction drag. Moreover, higher thermal radiation and electric parameter also escalate the thermal field. Nanoparticle concentration is improving function via Arrhenius activation energy.
format Article
id doaj-art-d603a637c8514635b701b95ef5d061c9
institution Kabale University
issn 2214-157X
language English
publishDate 2025-02-01
publisher Elsevier
record_format Article
series Case Studies in Thermal Engineering
spelling doaj-art-d603a637c8514635b701b95ef5d061c92025-02-02T05:27:27ZengElsevierCase Studies in Thermal Engineering2214-157X2025-02-0166105785A comprehensive numerical study exploring the significance of thermally reactive bioconvection in Falkner-Skan flow of Williamson nanomaterials influenced by activation energy and buoyancy forcesM. Israr Ur Rehman0Haibo Chen1Aamir Hamid2Wu Qian3Refka Ghodhbani4Mohamed Hussien5School of Mathematics and Statistics, Central South University, Changsha, Hunan, 410083, PR ChinaSchool of Mathematics and Statistics, Central South University, Changsha, Hunan, 410083, PR ChinaDepartment of Mathematics, Women University of Azad Jammu & Kashmir, Bagh, 12500, Pakistan; Corresponding author.School of Aeronautics and Astronautics, University of Electronic Sciences and Technology of China (UESTC), Chengdu, PR ChinaCenter for Scientific Research and Entrepreneurship, Northern Border University, 73213, Arar, Saudi Arabia; Corresponding author.Department of Chemistry, Faculty of Science, King Khalid University, P.O. Box 9004, Abha, 61413, Saudi ArabiaHeat and mass transport performance is greatly improved in a variety of industrial, engineering, and technological applications by the advanced thermal properties of nanomaterials, which are enhanced by chemical reactions, nonlinear thermal radiation, nonuniform heat sources/sinks, Arrhenius kinetic energy, and induced electromagnetic forces. The analysis is further improved by adding thermophoretic diffusion and Brownian motion to the energy and concentration equations Bio-fuels, enzymes, industry, bio-sensors, petroleum, and a number of other novel biotechnological features are also influenced by the bioconvective mechanisms in nanomaterials. Motivated by these properties, this study investigates the rheological behavior of non-Darcian Williamson nanomaterials interacting with motile microorganisms, driven by Falkner-Skan wedge surfaces. Similarity transformations are used to convert the system of partial differential equations into a system of ordinary differential equations, which are then numerically solved using the Runge–Kutta–Fehlberg (RKF-45) method. After the system has been altered, the physical parameters that result are examined and shown graphically. The raising valuation of wedge angle parameter diminished the velocity and friction drag. Moreover, higher thermal radiation and electric parameter also escalate the thermal field. Nanoparticle concentration is improving function via Arrhenius activation energy.http://www.sciencedirect.com/science/article/pii/S2214157X25000450Bioconvection flowChemical reactionWilliamson nanofluidNonlinear thermal radiationNonlinear mixed convectionArrhenius activation energy
spellingShingle M. Israr Ur Rehman
Haibo Chen
Aamir Hamid
Wu Qian
Refka Ghodhbani
Mohamed Hussien
A comprehensive numerical study exploring the significance of thermally reactive bioconvection in Falkner-Skan flow of Williamson nanomaterials influenced by activation energy and buoyancy forces
Case Studies in Thermal Engineering
Bioconvection flow
Chemical reaction
Williamson nanofluid
Nonlinear thermal radiation
Nonlinear mixed convection
Arrhenius activation energy
title A comprehensive numerical study exploring the significance of thermally reactive bioconvection in Falkner-Skan flow of Williamson nanomaterials influenced by activation energy and buoyancy forces
title_full A comprehensive numerical study exploring the significance of thermally reactive bioconvection in Falkner-Skan flow of Williamson nanomaterials influenced by activation energy and buoyancy forces
title_fullStr A comprehensive numerical study exploring the significance of thermally reactive bioconvection in Falkner-Skan flow of Williamson nanomaterials influenced by activation energy and buoyancy forces
title_full_unstemmed A comprehensive numerical study exploring the significance of thermally reactive bioconvection in Falkner-Skan flow of Williamson nanomaterials influenced by activation energy and buoyancy forces
title_short A comprehensive numerical study exploring the significance of thermally reactive bioconvection in Falkner-Skan flow of Williamson nanomaterials influenced by activation energy and buoyancy forces
title_sort comprehensive numerical study exploring the significance of thermally reactive bioconvection in falkner skan flow of williamson nanomaterials influenced by activation energy and buoyancy forces
topic Bioconvection flow
Chemical reaction
Williamson nanofluid
Nonlinear thermal radiation
Nonlinear mixed convection
Arrhenius activation energy
url http://www.sciencedirect.com/science/article/pii/S2214157X25000450
work_keys_str_mv AT misrarurrehman acomprehensivenumericalstudyexploringthesignificanceofthermallyreactivebioconvectioninfalknerskanflowofwilliamsonnanomaterialsinfluencedbyactivationenergyandbuoyancyforces
AT haibochen acomprehensivenumericalstudyexploringthesignificanceofthermallyreactivebioconvectioninfalknerskanflowofwilliamsonnanomaterialsinfluencedbyactivationenergyandbuoyancyforces
AT aamirhamid acomprehensivenumericalstudyexploringthesignificanceofthermallyreactivebioconvectioninfalknerskanflowofwilliamsonnanomaterialsinfluencedbyactivationenergyandbuoyancyforces
AT wuqian acomprehensivenumericalstudyexploringthesignificanceofthermallyreactivebioconvectioninfalknerskanflowofwilliamsonnanomaterialsinfluencedbyactivationenergyandbuoyancyforces
AT refkaghodhbani acomprehensivenumericalstudyexploringthesignificanceofthermallyreactivebioconvectioninfalknerskanflowofwilliamsonnanomaterialsinfluencedbyactivationenergyandbuoyancyforces
AT mohamedhussien acomprehensivenumericalstudyexploringthesignificanceofthermallyreactivebioconvectioninfalknerskanflowofwilliamsonnanomaterialsinfluencedbyactivationenergyandbuoyancyforces
AT misrarurrehman comprehensivenumericalstudyexploringthesignificanceofthermallyreactivebioconvectioninfalknerskanflowofwilliamsonnanomaterialsinfluencedbyactivationenergyandbuoyancyforces
AT haibochen comprehensivenumericalstudyexploringthesignificanceofthermallyreactivebioconvectioninfalknerskanflowofwilliamsonnanomaterialsinfluencedbyactivationenergyandbuoyancyforces
AT aamirhamid comprehensivenumericalstudyexploringthesignificanceofthermallyreactivebioconvectioninfalknerskanflowofwilliamsonnanomaterialsinfluencedbyactivationenergyandbuoyancyforces
AT wuqian comprehensivenumericalstudyexploringthesignificanceofthermallyreactivebioconvectioninfalknerskanflowofwilliamsonnanomaterialsinfluencedbyactivationenergyandbuoyancyforces
AT refkaghodhbani comprehensivenumericalstudyexploringthesignificanceofthermallyreactivebioconvectioninfalknerskanflowofwilliamsonnanomaterialsinfluencedbyactivationenergyandbuoyancyforces
AT mohamedhussien comprehensivenumericalstudyexploringthesignificanceofthermallyreactivebioconvectioninfalknerskanflowofwilliamsonnanomaterialsinfluencedbyactivationenergyandbuoyancyforces