Thermal and mass transfer performance of non-Newtonian fluids under MHD and chemical reaction effects with thermophoresis and Brownian motion

Abstract This study presents a comprehensive investigation into the convective heat and mass transfer characteristics of non-Newtonian fluids, specifically Casson, Maxwell, and Williamson fluids, flowing along a vertical cone under the influence of magnetic fields and chemical reactions. Non-Newtoni...

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Main Authors: S. Varshegaa, E. Ragulkumar, Francis Peter, K. Loganathan, P. Sambath
Format: Article
Language:English
Published: Springer 2025-07-01
Series:Discover Applied Sciences
Subjects:
Online Access:https://doi.org/10.1007/s42452-025-07369-4
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author S. Varshegaa
E. Ragulkumar
Francis Peter
K. Loganathan
P. Sambath
author_facet S. Varshegaa
E. Ragulkumar
Francis Peter
K. Loganathan
P. Sambath
author_sort S. Varshegaa
collection DOAJ
description Abstract This study presents a comprehensive investigation into the convective heat and mass transfer characteristics of non-Newtonian fluids, specifically Casson, Maxwell, and Williamson fluids, flowing along a vertical cone under the influence of magnetic fields and chemical reactions. Non-Newtonian fluids are widely utilized in industrial and automotive thermal management systems due to their superior thermal performance characteristics. The mathematical formulation accounts for magnetohydrodynamic effects, homogeneous chemical reactions, and transport phenomena associated with thermophoresis and Brownian motion. The governing equations, derived from the conservation laws of mass, momentum, energy, and species concentration, are reduced to a system of nonlinear ordinary differential equations through the application of similarity transformations. These equations are solved numerically using the BVP4C solver in MATLAB. A detailed parametric study is conducted to analyze the influence of key physical parameters on the velocity, temperature, and concentration distributions. The results indicate that the presence of a magnetic field decreases the fluid velocity due to the Lorentz force, while the thermophoretic and Brownian motion effects enhance the thermal and concentration boundary layers, leading to improved heat and mass transfer rates. Chemical reaction parameters are observed to significantly modify the concentration profiles.The findings contribute to a deeper understanding of non-Newtonian fluid behavior and offer guidance for the design of efficient thermal systems.
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spelling doaj-art-b985e1351e044c49adbc5ce1aaefb4412025-08-20T03:42:56ZengSpringerDiscover Applied Sciences3004-92612025-07-017712310.1007/s42452-025-07369-4Thermal and mass transfer performance of non-Newtonian fluids under MHD and chemical reaction effects with thermophoresis and Brownian motionS. Varshegaa0E. Ragulkumar1Francis Peter2K. Loganathan3P. Sambath4Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and TechnologyCentre for Computational Modeling, Chennai Institute of TechnologyDepartment of Mathematics, Easwari Engineering CollegeDepartment of Mathematics and Statistics, Manipal University JaipurDepartment of Mathematics, College of Engineering and Technology, SRM Institute of Science and TechnologyAbstract This study presents a comprehensive investigation into the convective heat and mass transfer characteristics of non-Newtonian fluids, specifically Casson, Maxwell, and Williamson fluids, flowing along a vertical cone under the influence of magnetic fields and chemical reactions. Non-Newtonian fluids are widely utilized in industrial and automotive thermal management systems due to their superior thermal performance characteristics. The mathematical formulation accounts for magnetohydrodynamic effects, homogeneous chemical reactions, and transport phenomena associated with thermophoresis and Brownian motion. The governing equations, derived from the conservation laws of mass, momentum, energy, and species concentration, are reduced to a system of nonlinear ordinary differential equations through the application of similarity transformations. These equations are solved numerically using the BVP4C solver in MATLAB. A detailed parametric study is conducted to analyze the influence of key physical parameters on the velocity, temperature, and concentration distributions. The results indicate that the presence of a magnetic field decreases the fluid velocity due to the Lorentz force, while the thermophoretic and Brownian motion effects enhance the thermal and concentration boundary layers, leading to improved heat and mass transfer rates. Chemical reaction parameters are observed to significantly modify the concentration profiles.The findings contribute to a deeper understanding of non-Newtonian fluid behavior and offer guidance for the design of efficient thermal systems.https://doi.org/10.1007/s42452-025-07369-4Heat and mass transferMHDChemical reactionsBrownian motionThermophoresisVertical cone
spellingShingle S. Varshegaa
E. Ragulkumar
Francis Peter
K. Loganathan
P. Sambath
Thermal and mass transfer performance of non-Newtonian fluids under MHD and chemical reaction effects with thermophoresis and Brownian motion
Discover Applied Sciences
Heat and mass transfer
MHD
Chemical reactions
Brownian motion
Thermophoresis
Vertical cone
title Thermal and mass transfer performance of non-Newtonian fluids under MHD and chemical reaction effects with thermophoresis and Brownian motion
title_full Thermal and mass transfer performance of non-Newtonian fluids under MHD and chemical reaction effects with thermophoresis and Brownian motion
title_fullStr Thermal and mass transfer performance of non-Newtonian fluids under MHD and chemical reaction effects with thermophoresis and Brownian motion
title_full_unstemmed Thermal and mass transfer performance of non-Newtonian fluids under MHD and chemical reaction effects with thermophoresis and Brownian motion
title_short Thermal and mass transfer performance of non-Newtonian fluids under MHD and chemical reaction effects with thermophoresis and Brownian motion
title_sort thermal and mass transfer performance of non newtonian fluids under mhd and chemical reaction effects with thermophoresis and brownian motion
topic Heat and mass transfer
MHD
Chemical reactions
Brownian motion
Thermophoresis
Vertical cone
url https://doi.org/10.1007/s42452-025-07369-4
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