Werlé–Legendre Separation in a Hydraulic Machine Draft Tube

[+] Author and Article Information
S. Mauri, J. L. Kueny, F. Avellan

LMH—Laboratory for Hydraulic Machines, EPFL—Swiss Federal Institute of Technology, Av. Cour 33bis, Lausanne 1007, Switzerland

J. Fluids Eng 126(6), 976-980 (Mar 11, 2005) (5 pages) doi:10.1115/1.1839930 History: Received October 30, 2002; Revised February 25, 2004; Online March 11, 2005
Copyright © 2004 by ASME
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Investigated geometry. Cross area evolution. Sections definition.
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Measured velocity and kinetic energy inlet profiles (filled points correspond to the external radius). Ca: Axial velocity component, Ct: Circumferential velocity component, Cr: Radial velocity component, k: Turbulent kinetic energy, C0: Mean sectional velocity magnitude. Machine and draft tube efficiency with the main operating points.
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Static pressure recovery. Comparison measurement-computation. The GCI is reported for φ* =0.994.
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Comparison measurements (M)-computation (C) at the draft tube outlet. Normal (Cn) and vertical (Cv) velocity components, C0: mean sectional velocity magnitude. φ* =0.919 and φ* =1.108. The measurements do not cover the whole channels’ surface.
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Computed local mean specific static pressure coefficient. The recovery occurring in the cone (s1-s2), first half of the bend (s2-s7), second half of the bend (s7-s17) and diffuser (s17-s21) and in the left- and right-side of the draft tube are distinguished.
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Predicted flow rate percentage in the left channel over the operating range
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Predicted separation lines and flow direction in the right channel before (φ* =0.994) and after (φ* =1.021) the efficiency drop
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Computed skin friction lines, onset on the surface of a focus in company with a saddle point. Before the efficiency drop: φ* =0.994, φ* =1.014, after: φ* =1.021, φ* =1.032, φ* =1.038, φ* =1.054.
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Computed vortex core and separation line, φ* =1.021
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Predicted vortex evolution. Before the drop: φ* =1.014, after: φ* =1.021, φ* =1.027, φ* =1.032, φ* =1.038. The last picture summarizes the first four operating conditions (lighter core: φ* =1.014, darker core: φ* =1.032).
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Interpretation of Fig. 8. S: Saddle, F: Focus, N: Node.




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