A Numerical Solution for Laminar Entrance Flow in a Square Duct

[+] Author and Article Information
G. A. Carlson

Department of Mechanical Engineering, Lawrence Radiation Laboratory, Livermore, Calif.

R. W. Hornbeck

Department of Mechanical Engineering, Carnegie-Mellon University, Pittsburgh, Pa.

J. Appl. Mech 40(1), 25-30 (Mar 01, 1973) (6 pages) doi:10.1115/1.3422937 History: Received July 01, 1971; Online July 12, 2010


The laminar entrance flow of an incompressible viscous fluid in a square duct is analyzed numerically. Two approximate mathematical models are considered, with the more exact model including the transverse momentum equations. Finite-difference representations are developed for the equations of both models, and solutions are obtained assuming a uniform inlet velocity distribution. Results are presented for the velocity and pressure distributions in the entrance region, and comparisons made with previous analytical and experimental work. The results provide new insight into the true three-dimensional character of the flow and are more accurate than previously available solutions.

Copyright © 1973 by ASME
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