A mathematical study on two layered blood flow of a couple-stress fluid

A mathematical model is constructed to investigate the characteristics of a blood flow in two layered model. This model basically consists of two layers, in which couple-stress fluid with nanoparticles in the core region and Newtonian fluid in the peripheral region are considered and studied under the assumption of lubrication theory. The governing equations of the flow are solved and expressions for velocity in the core region and peripheral region, pressure drop, frictional force, heat transfer coefficient and mass transfer coefficients have been derived. The various effects of different parameters like couple-stress fluid parameters α¯,η¯, viscosity ratio, mean radius of the central layer, local temperature Grashof number, local nanoparticles Grashof number, Brownian motion parameter and thermophoresis parameter on flow variables have been investigated. Trapped bolus and Streamline patterns are sketched through graphs at the end. The present model reveals that pressure drop and frictional force show the same behavior with respect to the various parameters.