Heat transport efficiency in rheology of radiated casson material due to porous shrinking cylinder

In several industrial and thermal management systems, maintaining continuous thermal propagation is essential because it makes thermal engineering mechanisms and machinery more efficient. It is therefore a promising development for the augmentation of thermal power energy to use thermal radiation, heat source/sink, and nanoparticles in a heat-carrying dynamics of non-Newtonian fluids. This article presents a unique contribution by thoroughly examining the mass transfer and thermal properties of Casson fluid in motile microorganism suspensions over a shrinking cylinder. The physical characteristics of the problem are governed by partial differential equations, which are converted to ordinary differential equations using appropriate similarity variables. To find the duality of solutions, the Bvp4c solver from MATLAB is used in the solution approach. The various flow characteristics of Casson fluid have been illustrated with graphs. The engineering quantities, such as friction factor, Sherwood number, Nusselt number, and density number have also been computed and graphically depicted. The study's main finding reveals that higher suction strength enhanced the skin friction coefficient and transportation rate in the shrinking zone. It is noteworthy that a higher Eckert number and thermal radiation decreased the thermal transport rate, whereas reaction rate increased the solutal transfer rate. The results also demonstrated that in the second branch solution, with increasing magnetic and Casson factors, the fluid flow velocity distribution decreases, while in the first branch solution, it increases. These findings add important insights into optimizing heat transport in modern systems of engineering.