Hydrodynamical Entrance Length Effects for Duct Flows With Arbitrary Inlet Velocity Profiles

[+] Author and Article Information
J. P. Du Plessis

Department of Applied Mathematics, University of Stellenbosch, 7600 Stellenbosch, South Africa

D. G. Kröger

Department of Mechanical Engineering, University of Stellenbosch, 7600 Stellenbosch, South Africa

J. Appl. Mech 51(2), 239-243 (Jun 01, 1984) (5 pages) doi:10.1115/1.3167606 History: Received February 01, 1983; Revised August 01, 1983; Online July 21, 2009


An existing analytical method for predicting the entrance region pressure drop and relating effects in straight ducts of arbitrary cross section is generalized to include the application of arbitrary inlet velocity profiles. The only requirement for the use of the derived theoretical results is the availability of integrable (analytically or numerically) expressions for the inlet and the fully developed velocity profiles for the cross-sectional geometry under consideration. The derived results are applied to the case of the transition of fully developed laminar tube flow to fully developed circular-sectorial flow. The latter may be induced by the introduction of a flow divider into the tube. The numerical results are tabulated and also presented graphically.

Copyright © 1984 by ASME
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