<p>Nanotechnology has a wide range of applications in blood rheology across various industries and targeted drug delivery. This formulation aims to numerically analyze nanoblood flow over a cylindrical stretching sheet. It also examines the physical effects of heat sources, magnetic devices, chemical reactions, and thermal radiation parameters on nanoblood transport. The viscoplastic fluid is used as a blood-based fluid. The governing equations of the flow model are formulated using cylindrical coordinates. The resulting non-linear PDEs are converted into a system of non-linear ODEs through non-dimensional variables. An enhanced empirical model is developed using the Central Composite Design based on Response Surface Methodology (RSM). An analysis of variance (ANOVA) is employed to assess whether the fitted model is adequate. The comparison between nano-blood and nano-viscous fluids is also illustrated via graphs. The magnitudes of the stream function and velocity profile are influenced in the boundary layer (BL) by porosity effects. The magnitudes of the temperature field and mass concentration in the BL increase as Eckert numbers increase. The RSM framework's sensitivity analysis showed that magnetic, Casson, and thermal radiation parameters are crucial for optimizing heat and mass transfer rates. Thermal performance is significantly influenced by Hartmann numbers. The absolute error is very small in all engineering features in comparison with the actual and predicted information of the nano-blood model. The adequacy and unpredictability of the model are confirmed by each residual graphic. Results of the current study are used in polymer processing, bioengineering domains, tumor environments, and blood flow simulation.</p>