Accurate Evaluation of the Loss Coefficient and the Entrance Length of the Inlet Region of a Channel

[+] Author and Article Information
R. M. Sadri, J. M. Floryan

The University of Western Ontario, Department of Mechanical and Materials Engineering, London, Ontario N6A 5B9, Canada

J. Fluids Eng 124(3), 685-693 (Aug 19, 2002) (9 pages) doi:10.1115/1.1493813 History: Received March 31, 2000; Revised January 14, 2002; Online August 19, 2002
Copyright © 2002 by ASME
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Variations of the loss coefficient k(∞), the incremental pressure drop K(∞) and the additional pressure loss coefficient Ki as a function of Re. Dashed lines denote correlations given in Section 4.2.1.
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Variations of the eigenvalues describing decay of the perturbations of Jeffery-Hamel flow. Figure 6(a)-0≤Re≤10, Fig. 6(b)-0≤Re≤∞.
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Variations of the eigenvalues describing decay of the perturbations in the Poiseuille flow as a function of Re. Figure 7(a)-imaginary part βi; Fig. 7(b)-real part βr.
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Variations of the length of the channel entrance zone as a function of Re. Letters A,[[ellipsis]], G correspond to the different criteria used to determine the length of the entrance zone, discussed in Section 4.3.2. Dashed lines correspond to the correlations developed in the present study. The numerical method used does not provide sufficient accuracy for application of the criteria F and G when Re<80 and thus the corresponding curves are omitted from the insert plot.
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Distribution of vorticity ζ along the line y=−1 for Re=1000 obtained with different grid sizes h
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Pressure distribution along the channel centerline, 0.01≤Re≤2000
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Pressure drop along the centerline of the channel for Re=2200. S denotes the pressure drop due to the change of the kinetic energy, M stands for the pressure drop associated with the Poiseuille flow, and N denotes the additional pressure drop occurring due to the entrance effects.
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Distribution of the loss coefficient along the channel
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Flow pattern in a sharp-edged entrance




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