Channel, tube, and film flows

Abstract

Having derived the equations governing the motion of án incompressible Newtonian fluid — by requiring mass conservation and Newton’s second law for the motion of fluid parcels — and having established appropriate boundary and interfacial conditions, we proceed to derive analytical and semi-analytical solutions for a common class of steady and unsteady flows characterized by rectilinear or circular streamlines. The engineering significance of these flows, combined with their ability to demonstrate the salient mechanisms by which momentum and vorticity are distributed in a steady flow and transported in an unsteady flow, justify why these flows receive special attention.