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Internal hydraulic jumps at T-junctions

Published online by Cambridge University Press:  26 April 2006

Paul A. Roberts  and
Stephen Hibberd
Paul A. Roberts
Affiliation:
Department of Theoretical Mechanics, University of Nottingham, NG7 2RD, UK Present address: British Gas Research Centre, Ashby Road, Loughborough, LE11 3QU, UK.
Stephen Hibberd
Affiliation:
Department of Theoretical Mechanics, University of Nottingham, NG7 2RD, UK
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Abstract

This paper presents a theoretical investigation of the occurrence of hydraulic jumps in two-layer systems induced by extraction of fluid from the upper layer. The physical configuration consists of a horizontal main pipe along which air and water flow, and a vertically upward side arm. An hydraulic model based on the momentum principle assuming that the fluids do not mix is developed that leads to at least two possible conjugate states for any given two-layer flow. A method of determining the amount of gas which must be extracted into the side arm for a jump to occur is developed and predictions shown to be in reasonable agreement with observation. Unusually, it is shown that above this critical gas take-off value two possible states remain energetically feasible.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 314 , 10 May 1996 , pp. 331 - 347
Copyright
© 1996 Cambridge University Press

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References

Armi, L. 1986 The hydraulics of two flowing layers with different densities. J. Fluid Mech. 163, 27–58.Google Scholar
Azzopardi, B. J. 1993 T-junctions as phase separators for gas-liquid flows: Possibilities and problems. Trans. Inst. Chem. Engrs 71, A, 273–281.Google Scholar
Azzopardi, B. J. & Smith, P. A. 1992 Two-phase flow split at T-junctions: effect of side arm orientation and downstream geometry. Intl J. Multiphase Flow 18, 861–875.Google Scholar
Baines, P. G. 1984 A unified description of two-layer flow over topography. J. Fluid Mech. 146, 127–167.Google Scholar
Benjamin, T. B. & Lighthill, M. J. 1954 On cnoidal waves and bores. J. Fluid Mech. 224, 448–460.Google Scholar
Buell, J. R., Soliman, H. M. & Sims, G. E. 1993 Two-phase pressure drop and phase distribution at a horizontal tee junction. In Proc. Fluids Engng Conf., Washington D.C., 20–24th June. ASME vol. 165, pp. 25–37.
Chow, V. T. 1959 Open-channel Hydraulics. McGraw-Hill.
Chu, V. H. & Baddour, R. E. 1977 Surges, waves and mixing in two-layer density stratified flow. In Proc. 17th Congr. Intl Assoc. Hydraul. Res., vol. 1, pp. 303–310.
Dalziel, S. B. 1991 Two-layer hydraulics: a functional approach. J. Fluid Mech. 223, 135–163.Google Scholar
Davis, S. B. & Fungtamasan, B. 1990 Two-phase flow through pipe branch junctions. Intl J. Multiphase Flow 16, 799–817.Google Scholar
Hayakawa, N. 1970 Internal hydraulic jumps in a co-current stratified flow. J. Engng Mech. Div. ASCE 96(EMS), 797–866.Google Scholar
Katz, S. 1967 Mechanical pressure drops at a fluid branch. Trans. ASME J. Basic Engng 89, 732–736.Google Scholar
Lawrence, G. A. 1990 On the hydraulics of Boussinesq and non-Boussinesq two-layer flows. J. Fluid Mech. 215, 457–480.Google Scholar
McCorquodale, J. A. 1986 Hydraulic jumps and internal flows. In Encyclopedia of Fluid Mechanics, vol. 2, Chap. 6, Gulf.
Mehrotra, S. C. & Kelly, R. E. 1973 On the question of non-uniqueness of internal hydraulic jumps and drops in a two fluid system. Tellus 15, 560–567.Google Scholar
Rajaratnam, N., Tovell, D. & Loewen, M. 1991 Internal jumps in two moving layers. J. Hydraul Res. 29, 91–106.Google Scholar
Wood, I. R. & Simpson, J. E. 1984 Jumps in layered miscible fluids. J. Fluid Mech. 140, 329–342.Google Scholar
Yih, C. S. & Guha, C. R. 1955 Hydraulic jump in a fluid system of two layers. Tellus 7, 358–366.Google Scholar