The Relationship Between Standing Waves, Pressure Pulse Propagation, and Critical Flow Rate in Two-Phase Mixtures

[+] Author and Article Information
A. E. Ruggles

Center for Manufacturing Productivity & Technology Transfer, Rensselaer Polytechnic Institute, Troy, NY 12180-3590

R. T. Lahey

Department of Nuclear Engineering & Engineering Physics, Rensselaer Polytechnic Institute, Troy, NY 12180-3590

D. A. Drew

Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, NY 12180-3590

H. A. Scarton

Department of Mechanical, Aeronautical Engineering & Mechanics, Rensselaer Polytechnic Institute, Troy, NY 12180-3590

J. Heat Transfer 111(2), 467-473 (May 01, 1989) (7 pages) doi:10.1115/1.3250700 History: Received October 16, 1987; Online October 20, 2009


A two-fluid model is presented that can be used to predict the celerity and attenuation of small-amplitude harmonic disturbances in bubbly two-phase flow. This frequency-dependent relationship is then used to predict the propagation of small-amplitude pressure perturbations through the use of Fourier decomposition techniques. Predictions of both standing waves and propagating pressure perturbations agree well with existing data. The low and high-frequency limits of the celerities predicted by the model are examined and their relationship to critical flow rate is demonstrated. Some limitations of the interfacial pressure model employed in conventional critical flow analysis are exposed and the implications to the prediction of critical flow rate are discussed.

Copyright © 1989 by ASME
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