Hydromagnetic Nanomaterial Swirling Blood Flow Over a Rotating Cylinder in the Presence of Stefan Blowing Effect: An Optimised Heat Transfer Through Four-Factor RSM

The present study numerically investigates hydromagnetic swirling blood flow with nanomaterial over a rotating cylinder. The impact of nonlinear radiation and Stefan blowing effect is explored. Moreover, Joule heating and viscous dissipation effects are considered to control the temperature profile. The problem is modelled using modified Buongiorno model. Suitable similarity variables are utilized to convert governing PDE’s to ODE’s and then numerically computed using bvp5c scheme. A five-level four-factor response surface methodology (RSM) is employed to optimise the impact of Hartmann’s number \(\left(0.2 \le M\le 0.6 \right),\) $\left(0.2,\le ,M,\le ,0.6\right),$ curvature parameter ( \(0.1\le K\le 0.3\) $0.1\le K\le 0.3$ ), radiation parameter ( \(0.1\le Rd\le 0.5)\) $0.1\le Rd\le 0.5)$ , and volume fraction of nanoparticles ( \(0.01\le \phi \le 0.03)\) $0.01\le \varphi \le 0.03)$ on the heat transfer rate. Streamlines have been employed to illustrate the direction and speed of flow profiles. It is observed that axial, swirl, and temperature profiles are at peak stage in the blowing case than suction. Heat transfer rate enhances with low magnetic field and cylindrical curvature. A similar trend is observed in the case of low volume fraction of single-wall carbon nanotubes and high radiation parameter respectively. Per unit change in the Hartman number reduces the shear stress due to swirl motion by 65.5829% and 65.3622% for the suction and blowing cases, respectively. The present study finds its application in pharmaceutical industry, medical equipment, and cardiovascular research.