https://doi.org/10.1140/epjp/s13360-024-04913-w
Regular Article
Dynamics of oxytactic microbes-infused cross nanofluid around a stretchy cylinder subject to Lorentz force, Arrhenius activation energy, and nonlinear thermal radiation
1
Department of Mathematics, Triveni Devi Bhalotia College, 713 347, Paschim Bardhaman, India
2
Department of Mathematics, University of Gour Banga, 732 103, Malda, India
a
soumitrasarkar@tdbcollege.ac.in
Received:
7
November
2022
Accepted:
18
January
2024
Published online:
2
February
2024
The emission of thermal energy in magnetic environments holds great importance in various applications such as nuclear reactor cooling, combustion processes, energy production, space research, and more. The current research focuses on analyzing the thermal radiation effects (quadratic, nonlinear, and linear) on the transport phenomena in oxytactic microbes-infused Cross nanofluid over a linearly stretching cylinder. This study system encompasses Lorentz force, Brownian motion, thermophoresis, Arrhenius activation energy, and surface slip condition. Buongiorno’s model is utilized to study the random movement of microbes and thermophoresis phenomena. Relevant similarity formulas are effectuated in converting the model equations into a system of ordinary differential equations (ODEs), which are further treated numerically using RKF-45 and the shooting technique in Mathematica’s NDSolve. Graphs and tables are used to illustrate the quantitative impacts of emerging physical factors on momentum, heat, concentration, microbes distribution, Nusselt number, and coefficient of skin friction. The results highlight that nonlinear radiation leads to higher velocity distribution, temperature, and microbe concentration compared to linear and quadratic radiation. Additionally, nanofluid with nonlinear radiation exhibits higher heat transfer rates. The findings of this study are instrumental in understanding the critical factors that influence the appropriate heat transmission rate, thereby contributing to advancements in heat and mass transfer analysis in complex bio-systems.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.