A Numerical Study of the Laminar Viscous Incompressible Flow Through a Pipe Orifice

[+] Author and Article Information
F. E. B. Nigro

Hydraulics, Mechanical Engineering Department, Instituto Pesquisas Tecnologicas, Sao Paulo, Brazil

A. B. Strong, S. A. Alpay

Department of Mechanical Engineering, University of Waterloo, Waterloo, Ontario, Canada

J. Fluids Eng 100(4), 467-472 (Dec 01, 1978) (6 pages) doi:10.1115/1.3448709 History: Received January 30, 1978; Online October 12, 2010


The present paper discusses a numerical algorithm for the solution of the steady flow of a viscous fluid through a pipe orifice which allows for considerable flexibility in the choice of orifice plate geometry. The results are compared to the data for a wide range of Reynolds numbers in the laminar regime and orifice/pipe diameter ratios for a 45 deg sharp edged orifice plate, a square edged orifice plate and a thin orifice plate. Based on the initial results presented here the numerical algorithm is deemed to provide a fast, accurate and relatively easy way of examining the effects of a wide variety of orifice plate geometries and flow situations. The solution efficiency is made possible by solving the equations of motion in general orthogonal coordinates.

Copyright © 1978 by ASME
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