This study aims to investigate the flow dynamics of hybrid nanofluids, where a micropolar fluid serves as the base fluid, subjected to hydromagnetic pulsations between vertical walls while incorporating the effects of thermal radiation and viscous dissipation. A key focus is on analyzing the distinctive heat transfer properties of SWCNT− MWCNT hybrid nanofluids, which exhibit superior thermal conductivity and flow stability. The motivation behind employing hybrid nanofluids lies in their potential to enhance the efficiency of various biomedical and engineering applications, including nano-drug delivery within arteries, magnetic bio-separation, artificial kidney development, pressure surge mitigation, magnetofection-based therapies, cancer treatment, and brain tumor management. By leveraging the advanced thermal and rheological properties of these nanofluids, the study aims to contribute to the optimization of heat and mass transfer processes in medical and biological systems. We transformed the governing equations Partial differential equations (PDEs) to Ordinary differential equations (ODEs) by utilizing perturbation method. These are then solved using the shooting method combined with the fourth-order Runge-Kutta algorithm, employing the bvp4c solver in MATLAB. A detailed graphical representation illustrates variations in velocity, microrotation, and temperature profiles, providing insight into the intricate behaviour of the fluid system under different physical constraints. Additionaly, we presente the contour plots of the heat transfer rate to identify the trends and regions of high or low thermal activity.