Laminar boundary-layer flow of a Newtonian fluid through a curved pipesome applications to arterial flow dynamics

Abstract

Of concern in this paper is a study of the steady laminar flow of an incompressible viscous Newtonian fluid in a curved circular tube. It is assumed that the flow consists of a frictionless central core region surrounded by a thin boundary-layer. Analytical expressions for the boundary-layer thickness, mean axial velocity and frictional resistance of the flow are derived. Using the derived expressions, numerical results have also been computed. They are presented in a form suitable for practical use.