Heat transfer and fluid flow of blood with nanoparticles through porous vessels in a magnetic field: A quasi-one dimensional analytical approach.

摘要: Abstract In the present study, analytical study on blood flow containing nanoparticles through porous vessels is done in presence of magnetic field using Homotopy Perturbation Method (HPM). Blood considered as third grade non- Newtonian fluid nanoparticles. Viscosity nanofluid determined by Constant, Reynolds’ and Vogel's models. Some efforts have been made to show reliability performance method compared with numerical method, Runge–Kutta fourth-order. The results reveal that HPM can achieve suitable predicting solution these problems. Moreover, influence some physical parameters such pressure gradient, Brownian motion parameter, thermophoresis filed intensity Grashof number temperature, velocity concentration profiles declared this research. increase gradient Thermophoresis parameter well decrease cause rise profile. Furthermore, either or enhancement nanoparticle concentration. highest value observed when Model used for viscosity.