Abstract
Scientists and researchers have been captivated by the field of nanotechnology research, drawn to its diverse applications such as cancer treatment, pharmaceuticals, aircraft manufacturing, nano-robot technology, bionano advancements, heat exchange instruments, engine coolant use, microelectronics, water distillation, pharmaceutical procedures, and rubber materials. Incorporating gyrotactic microbes into nanoparticles is crucial for enhancing the thermal efficiency of various systems, including microbial fuel cells, bacteria-powered micro-mixers, micro-volumes such as microfluidic devices, enzyme biosensors, and chip-shaped microdevices like bio-microsystems.This study focuses on investigating the bioconvectional flow of Casson nanofluid, incorporating nano-particles, gyrotactic micro-organisms, and thermal radiation, passing through a needle. The bioconvection fluid is formed through the combined effects of Lorentz forces, a magnetic field, and the interaction of motile micro-organisms with nanoparticles. The governing partial differential equations are transformed into ordinary differential equations using resemblance transformations, and the solution is obtained through the BVP4C solver shooting technique. The numerical results are presented using MATLAB, depicted in figures and tabular formats. The findings, interpreted from a physical standpoint, reveal that fluid flow decreases with an increase in bioconvection Rayleigh number and buoyancy ratio parameter. Thermal flow, on the other hand, increases with a rise in Brownian motion parameter and thermophoresis effect parameter. Concentration profiles decrease with an increase in thermophoresis parameter and Lewis number, while motile microorganism profiles decline with an augmentation in Peclet number and bioconvection Lewis number.
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