Abstract

AbstractVelocity 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.

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