An Analysis of Laminar Flow and Pressure Drop in Complex Shaped Ducts

[+] Author and Article Information
John P. Zarling

Department of Mechanical Engineering, University of Alaska, Fairbanks, Alaska

J. Fluids Eng 98(4), 702-706 (Dec 01, 1976) (5 pages) doi:10.1115/1.3448462 History: Received September 21, 1976; Online October 12, 2010


An analytical method is presented for solving the governing equation for fully developed, steady, incompressible laminar flow through ducts of constant cross-section having a complex geometry. The technique uses the Schwarz-Neumann alternating method along with least squares point matching. The method is applied to a complex shaped duct and the resulting velocity series solution is used to calculate the flow rate and pressure drop (f•Re) for a range of duct sizes. Numerical results are presented and compared with experimentally determined friction factors for a duct of similar geometry.

Copyright © 1976 by ASME
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