The Steady Slow Motion of a Viscous Fluid through a Tapered Tube

Abstract

It is the purpose of this paper to investigate the steady slow motion of an incompressible viscous fluid through a tapered tube, and to examine theoretically the dependence of the distribution of shear stress on the semi-angle of the cone. The volume of flow per unit time has also been calculated and a formula corresponding to the Poiseuille’s equation has been obtained. In our calculations it is assumed that the velocity of the liquid is so small that the inertia term in the Navier-Stokes equations of motion can be neglected.