Abstract
The nanofluids' job is fundamental in the cooling of miniature electronic gadgets including microchips and associated gizmos. Having such interesting and useful applications of nanofluids in mind our objective is to deliberate the melting heat transfer impact in the flow of a Casson nanofluid past a stretched cylinder in a spongy medium. The stability of the nanoparticles is ascertained by considering the impact of the gyrotactic microorganisms. The entropy generation minimization analysis is also part of this study. A bvp4c built-in function of the MATLAB software is engaged to find the solution of the system of a nonlinear system of equations numerically. The consequences of the primary parameters versus emerging profiles are depicted and conversed in the view of their physical importance. The melting heat transfer parameter poses an opposing trend against the fluid velocity and temperature. Further, the gyrotactic microorganism distribution is lowered for the Peclet number. The entropy generation is enhanced for the sizeable estimates of the Reynolds and Brinkman numbers.