Axial laminar flow in a circular pipe containing a fixed eccentric core

Abstract

Abstract Velocity profiles and volumetric rates for the axial, laminar flow of a Newtonian fluid in a circular pipe containing a fixed eccentric core were evaluated numerically using a digital computer. The velocity profiles agree exceptionally well with those evaluated from an analytical expression derived by Heyda (2) . The effect of displacing the inner surface from a concentric position is to increase the volumetric flow rate for a given pressure gradient, the maximum increase for a diameter ratio of 0.9 being 240% and for a diameter ratio of 0.1, 60%. The volumetric flow rates are presented graphically in terms of dimensionless ratios which enable the flow rate to be evaluated for any fluid, diameter ratio, relative displacement and pressure gradient.