Theoretical analysis of metallic nanoparticles on blood flow through stenosed artery with permeable walls

•Nanoparticles analysis is discussed for diverging converging and non-tapered arteries.•Resistance impedance decreases with an increase in the nanoparticles volume fraction.•Combination of curvature and stenosis shows stenosis dominant the curvature of artery.•Pressure possesses an inverse variation to the resistance with respect to tapering.•Trapping shows that the symmetry destroys due to increase in curvature of curved artery.

The present analysis deals with the study of physical characteristics of blood flow in the presence of stenosis and nanoparticles through a curved channel with permeable walls. Taking mild stenosis case, the governing equations for anticipated model are solved using the corresponding boundary conditions and close-form solutions have been obtained for temperature, velocity and slip velocity by using Cauchy Euler's method. The expressions for the resistance impedance and pressure gradient in the stenotic region have also been obtained and the existence of various pertinent flow parameters, mainly Darcy number, slip parameter and nanoparticles volume fraction, has been discussed through graphs.