<p>The gyrotactic microbe's addition to the nanofluid provides better thermal conductivity and increased heat transfer, in various systems like micro-mixers for bacteria, microbial fuel cells, and micro-volumes, such as microfluidic devices, biosensor enzymes, and micro-devices in a chip-shaped such as bio-microsystems. They are essential for effective thermal management in electronics, automotive, and aerospace sectors because of their special swirling motion, improving heat dissipation. This attempt discusses thermal issues, reduces energy usage, and greatly increases heat exchanger efficiency, all leading to more efficient and sustainable engineering solutions. Further, this article aims to investigate the incompressible flow of a viscous nanofluid and gyrotactic microbes around an elastic cylinder that swirls when positioned inside a porous medium. A constant directed magnetic field and a constant temperature at the border are considered. Activation energy, exponential heat source, and Joule heating are among the important heat sources that are considered. The production of entropy in a system is optimized. The modeled system of PDEs is converted into ODEs through appropriate variables. The ND-Solve scheme employed in Mathematica tool for numerical simulations to analyze the scientific questions, and plots illustrating how different physical parameters affect different distributions. The drag force, mass microbes, and heat transportations at the swirling cylinder surface are also examined in the form of numerical data. Finding obtained explores that bioconvection Lewis number enhance the entropy and Bejan number. Furthermore, reaction and activation energy variable enhancement show opposite impact on nanomaterial, concentration. Also, exothermic/ endothermic reaction, skin friction is invariant against. The results gained might be beneficial for many applications in science and engineering. </p>