Regression analysis for multiple shape effects on magnetized power law nanofluid flow along a thin needle: An application in targeted drug delivery system

Nowadays, therapeutics mainly depend on drug delivery and magnetic nanofragments in the human body’s circulatory system. The drug particles are infused into the bloodstream with magnetic effects during this treatment, which is normally applied and aids in releasing the medications to the proper organs under magnetic intensity. Numerous medical procedures employ this approach, such as targeted drug delivery, cancer treatments, reduction of excessive bleeding during surgery, the healing process of wounds, and magnetic attraction of blood. However, the nanoparticle’s shape factor causes faster/slower drug release before/after reaching its targeted region. This study strives to investigate the effects of nanoparticle shape on the magnetized power law fluid flow along a thin needle. Additionally, viscous dissipation, suction, and ohmic heating are also considered. The governing equations are transformed with the help of appropriate similarity transformation into a dimensionless form and solved using the Bvp4c technique. The findings reveal that the magnetic field and needle thickness reduce fluid velocity. Further, regression analysis is incorporated to provide further insight into engineering quantities. The platelet-shaped nanoparticle averagely transmits thermal energy an average of [Formula: see text] more than brick, [Formula: see text] more than the blade and [Formula: see text] more than cylinder-shaped nanoparticles.