Dynamics of oxytactic microbes-infused cross nanofluid around a stretchy cylinder subject to Lorentz force, Arrhenius activation energy, and nonlinear thermal radiation

• Published in: European physical journal plus Vol. 139; no. 2; p. 120
• Main Authors: Sarkar, Soumitra, Das, Sanatan
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 02.02.2024; Springer Nature B.V
• Subjects: Activation energy; Applied and Technical Physics; Atomic; Bacteria; Brownian motion; Chemical reactions; Complex Systems; Condensed Matter Physics; Cylinder liners; Differential equations; Efficiency; Energy; Fluid flow; Fluids; Heat conductivity; Heat transfer; Heat transmission; Lorentz force; Magnetic fields; Mass transfer; Mathematical analysis; Mathematical and Computational Physics; Mathematical models; Microorganisms; Molecular; Nanofluids; Nanomaterials; Nanoparticles; Nanostructured materials; Nuclear reactors; Oil recovery; Optical and Plasma Physics; Physical factors; Physics; Physics and Astronomy; Porous materials; Radiation; Radiation effects; Regular Article; Shear strength; Skin friction; Theoretical; Thermal energy; Thermal radiation; Thermophoresis; Transport phenomena; Velocity distribution
• ISSN: 2190-5444; 2190-5444
• DOI: 10.1140/epjp/s13360-024-04913-w

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.