Blood flow of nanofluid through an artery with composite stenosis and permeable walls

This problem deals with the theoretical study of blood flow of nanofluid through composite stenosed arteries with permeable walls. The highly nonlinear momentum equations of nanofluid model are simplified by considering the mild stenosis case. Temperature and nanoparticle equations are coupled; so, we use homotopy perturbation method to calculate the solution of temperature and nanoparticle equations, while the exact solution has been calculated for velocity profile. Also, the expressions for flow impedance, pressure gradient and stream function are computed. These solutions depend on Brownian motion number N-b, thermophoresis number N-t, local temperature Grashof number G(r) and local nanoparticle Grashof number B-r. The effects of various emerging parameters are discussed through graphs for different values of interest.