<p>This study aims to analyze the behavior of blood-based biomagnetic fluid flow with embedded magnetic nanoparticles (Fe₃O₄) over a thin needle, motivated by its relevance in biomedical engineering applications such as targeted drug delivery and magnetic hyperthermia. The study aims to comprehend how particle interactions and magnetic fields affect heat transfer and fluid motion. The concepts of magnetohydrodynamics (MHD) and ferrohydrodynamics (FHD) are incorporated into the study. Lie symmetry group transformations, a potent analytical technique for decomposing complicated systems, are used to non-dimensionalize to simulate governing model equations. A finite difference method is then used to numerically solve the resultant system of equations. The study indicates that increasing the magnetic field strength and ferromagnetic interaction significantly slows down blood flow while enhancing temperature distribution. It is noticed that with the significant increment in the magnetic parameter(<i>M </i>= 0–0.5) and interaction parameter (<i>β = </i>0–10) the velocity profile reduced while the temperature dispersal in biomagnetic fluid enhanced. Additionally, the skin friction coefficient and heat transfer rate decrease with higher ferrofluid volume fractions and magnetic effects but increase with the power-law index parameter. These findings suggest that fluid flow and thermal behavior may be efficiently controlled by magnetic parameters and particle concentration. Such control is crucial for biomedical engineering applications, particularly in optimizing drug transport, improving heat-targeted therapies, and enhancing the precision of magnetic treatments.</p>