Angular Velocity Formula for Turbulent Vortex Chamber Flows
Publication: Journal of Hydraulic Engineering
Volume 138, Issue 5
Abstract
Vortex separators are increasingly utilized to remove suspended solids from stormwater runoff. Understanding flow patterns in a confined vortex chamber is crucial when investigating the mechanisms of liquid-solid separation. The angular velocity of fluid motion around the vertical axis is a dominant parameter for determining fluid flow patterns and particle trajectories in a rotational flow field. In this paper, an angular velocity formula, based on the angular-impulse momentum principle coupled with the Rankine vortex model, is derived under steady flow conditions. Comparison of predicted results using this formula to experimental data from a previous study indicates a general agreement. The derived formula can be used to estimate the angular velocity of the rotational flow field in vortex separators with tangential inlet and without internal components.
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References
Andoh, R. Y. G., and Smisson, R. P. M. (1994). “High rate sedimentation in hydrodynamic separators.” 2nd Int. Conf. on Hydraulic Modeling Development and Application of Physical and Mathematical Models (Ed. A. J. Saul), Mechanical Engineering Publications, London, UK, 341–358.
Boothroyd, R. G. (1971). “Flowing gas-solid suspension”. Chapman and Hall Ltd., London.
Candelier, F., Angilla, J. R., and Souhar, M. (2004). “On the effect of the boussinesq-basset force on the radial migration of a stokes particle in a vortex.” Phys. Fluids, 16(5), 1765–1776.PHFLE6
Fares, Y. R. (1995). “Boundary shear in curved channel with side overflows.” J. Hydraul. Eng., 121(1), 2–14.JHEND8
Field, R., and O’Connor, T. P. (1996). “Swirl technology: Enhancement of design evaluation and application.” J. Environ. Eng., 122(8), 741–748.JOEEDU
Fenner, R. A., and Tyack, J. N. (1997). “Scaling laws for hydrodynamic separators.” J. Environ. Eng., 123(10), 1019–1029.JOEEDU
Georgantas, A. I., Krepec, T., and Kwork, C. K. (1986). “Vortex flow patterns in a cylindrical chamber.” AIAA/ASME Fourth Fluid Mechanics, Plasma Dynamics and Laser Conference, AIAA-86-1098, American Institute of Aeronautics and Astronautics (AIAA), Reston, VA.
Guo, J., and Julien, P. Y. (2005). “Shear stress in smooth rectangular open-channel flows.” J. Hydraul. Eng., 131(1), 30–37.JHEND8
Luyckx, G., and Berlamont, J. (2004). “Removal efficiency of swirl/vortex separators.” Urban Water J., 1(3), 251–260.UWJRAU
Morsi, S. A., and Alexander, A. J. (1972). “An investigation of particle trajectories in two-phase flow systems.” J. Fluid Mech., 55(2), 193–208.JFLSA7
Ogawa, A. (1993). Vortex flow, CRC Press, Boca Raton, FL.
Rudinger, G. (1980). Fundamentals of gas-particle flow, Elsevier Scientific Publishing, New York.
Street, R. L., Watters, G. Z., and Vennard, J. K. (1996). Elementary fluid mechanics, 7th Ed., Wiley, New York.
Su, Y., (2007). Storm water runoff first flush modeling and treatment with a hydrodynamic device, Ph.D. dissertation, Ohio Univ., Athens, OH.
Sullivan, R. H., et al. (1978). The swirl primary separator: development and pilot demonstration, Rep. No. EPA-600/2-78-122, U.S. EPA, Cincinnati.
Vatistas, G. H., Lin, S., and Kwok, C. K. (1986). “Theoretical and experimental studies on vortex chamber flows.” AIAA J., 24(4), 635–642.AIAJAH
Vatistas, G. H., Lin, S., and Li, P. M. (1988). “A similar profile for the tangential velocity in vortex chambers.” Exp. FluidsEXFLDU, 6(2), 135–137.
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Information
Published In
Journal of Hydraulic Engineering
Volume 138 • Issue 5 • May 2012
Pages: 467 - 470
Copyright
© 2012. American Society of Civil Engineers.
History
Received: May 6, 2011
Accepted: Dec 6, 2011
Published online: Apr 16, 2012
Published in print: May 1, 2012
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