Biomedical uses of Casson blood nanofluid with gold nanotubes: Mathematical modeling of blood flow in porous arteries

Gold nanoparticles (1–100[Formula: see text]nm) are minute particles and are safer to disperse into blood to deal with many internal ailments. Magnetized gold nanoparticles with their promising effect in biomedicines are the epicenter of research for many scientists. This study is an attempt to apply nanomaterials in the field of bio-medicine. Particularly, the study surrounds around heat and mass transfer property of blood nanofluid in porous artery of narrow diameter. This work involves modeling a layer of gold nanoparticles in blood flow along porous surface as well as effect of reaction. Flow of blood is assumed to be non-Newtonian (in vessels of small diameter). Magnetic effect is also clubbed with the study. Standard procedure of reducing equations is used. Nanoparticles’ layering concentration in the range of 2–9% delivers noticeable effects on conduction of heat and performance of blood flow. Numerical solution was obtained by MATLAB after shooting an appropriate guess. Accounting effect of layering of nanoparticle on Casson parameter leaves a noticeable impact on results. Graphical plots are used to extract impact of each parameter on heat conduction and velocity of the blood. The findings threw light on importance of magnetic parameters in relocating heat. The increase in thickness of layer of nanoparticle from 2[Formula: see text]nm to 6[Formula: see text]nm, increased heat conductivity and performance significantly. The information from this work can be basis of novel method of treatment in medical field and can deliver the base for future experimentation.