Hydrodynamic Entrance Lengths for Incompressible Laminar Flow in Rectangular Ducts

[+] Author and Article Information
L. S. Han

Department of Mechanical Engineering, The Ohio State University, Robinson Laboratory, Columbus, Ohio

J. Appl. Mech 27(3), 403-409 (Sep 01, 1960) (7 pages) doi:10.1115/1.3644015 History: Received May 22, 1959; Online September 16, 2011


The problem of determining the hydrodynamic entrance length in a rectangular channel is solved by the method of linearizing the Navier-Stokes equation. The resulting equation is regarded as an equation to generate a mathematical expression for the axial velocity in the entire region, making smooth transition from a uniform profile to the fully developed one. From this expression, the entrance length, defined as where 99 per cent of the fully developed center-line velocity is attained, is calculated for channels of six aspect ratios. The pressure drops are also calculated and presented herein. A comparison is made with the limited amount of experimental and theoretical data.

Copyright © 1960 by ASME
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