Modeling of blood flow through an expanding/contraction channel with permeable walls and the presence of gold and titania nanoparticles.

Since transferring biological fluid through an artery is nowadays a pivotal subject, in this investigation, the mathematical model of hybrid nanofluid flow comprising pure blood as base fluid and TiO2 and Au as nanoparticles through the porous channel, which can be an applicable model for drug delivery, has been studied. Both walls of the channel have different permeability, enables the fluid to enter and exit and variable height which dilates and squeezes at the uniform rate. By taking advantage of the similarity transformation technique, governing equations have converted into a system of the nonlinear ordinary differential equation. This problem is solved numerically by utilizing BVP4C built-in function in MATLAB software to explore the impacts of pertinent parameters. The plots of velocity and temperature profile, normal pressure distribution and wall shear stress, as well as Nusselt number for involved parameters, are presented and the logic and physical reasons beyond them are highlighted. It has been observed that asymmetry of the channel, caused by different permeability at walls affects the nature of flow significantly.