In vitro arterial flow bioreactor systems have been used in tissue engineering as models to investigate the response of endothelial cells to shear. However, the degree to which such models can reproduce physiological flow has not been quantified. Furthermore, previous works have assumed a Poiseuille flow profile for the calculation of wall shear stresses (WSS) experienced by the endothelial lay...

We study the microstructure formation and defects dynamics arising in liquid crystalline polymers (LCPs) in plane shear flow by a inetic–hydrodynamic coupled model. The kinetic model is an extension of the Doi theory with a non-local intermolecular potential, including ranslational diffusion and density variation. LCP molecules are ensured anchoring at the boundary by an additional boundary pot...

1.1. Flow in a pipe: Steady axisymmetric Poiseuille Flow. Consider the steady unidirectional flow in an infinitely long pipe of radius a. To solve this problem, it is convenient to consider the NavierStokes equation in the cylindrical coordinates (r, θ, z) in the absence of any external force (b = 0). In this coordinate system u = (ur, uθ, uz). The scalar components of the Navier-Stokes equatio...

This paper reports the results of direct numerical simulation of the motion of a two-dimensional circular cylinder in Couette flow and in Poiseuille flow of an Oldroyd-B fluid. Both neutrally buoyant and nonneutrally buoyant cylinders are considered. The cylinder's motion and the mechanisms which cause the cylinders to migrate are studied. The stable equilibrium position of neutrally buoyant pa...