This model has wide-ranging applications in systems where reactive fluxes, nanofluid transport, and microorganism-driven bioconvection interact under complex boundary conditions. Gyrotactic microorganisms help to optimize the mixing and oxygen distribution in microbial culture systems, bioreactors, and biomedical equipment. The model is applicable to cooling technologies, drug delivery, chemical processing, and environmental engineering because it incorporates Stefan blowing, hybrid nanofluids, and chemical reactions. When dealing with moving or thin structures like needles or probes, this is particularly true. Additionally, it aids in the optimization of processes that depend on improved heat and mass transmission as well as the comprehension of heat generation impacts in microscale thermal management. An investigation is conducted to explore the laminar, steady flow of a hybrid nanofluid ( Al 2 O 3 − Cu / H 2 O ) with gyrotactic microorganisms across a moving thin needle. The joint impact of Stefan blowing, MHD, heat radiation, heat generation and a homogeneous reaction are considered in the analysis. Parametric studies shows that the fluid velocity is completely influenced by the Stefan blowing effect but retarded by the magnetic field strength. By enhancing heat source coefficient and radiation parameter, the temperature distribution is elevated.
Iqbal et al. (Mon,) studied this question.