Validation of Hyperbolic Model for Water-Hammer in Deformable Pipes
Affiliation:
1. Department of Mechanical Engineering, ENIS, BP. W Sfax, Tunisia 3038 2. Physical Department of Sciences, Campus Universitaire Tunis, Tunisia
Abstract
A mathematical formulation is presented to describe the transient flow of homogeneous gas–liquid mixtures in deformable pipes. The mixture density is defined by an expression averaging the two-component densities where isothermal evolution of the gaseous phase is admitted. Instead of the void fraction, which varies with pressure, the gas–fluid mass ratio (or the quality), assumed to be constant, is used. By application of the conservation of mass and momentum laws, a nonlinear hyperbolic system of two differential equations is obtained for the two principal dependent variables, which are the fluid pressure and velocity. Consideration is given in this paper to the numerical solution of these equations by the method of characteristics and the finite difference conservative scheme. The finite difference scheme computes the pressure by using a Newton–Raphson iterative formula, where the pressure wave speed takes place explicitly. To verify the validity of the computed results, comparison has been made with those of the numeric-experimental example of Chaudry et al. “Analysis of Transient in Bubbly Homogeneous Gas–Liquid Mixtures,” 1990. ASME J. Fluids Eng., 112, pp. 225–231. [S0098-2202(00)00301-1]
Publisher
ASME International
Subject
Mechanical Engineering
Reference12 articles.
1. Campbell, I. J., and Pitcher, A. S., 1958, “Shock Waves in Liquid Containing Gas Bubbles,” Proc. R. Soc. London, 243, pp. 534–545. 2. Padmanabhan, M., and Martin, C. S., 1983, “Shock-Wave Formation in Moving Bubbly by Steepening of Compression Waves,” Int. J. Multiphase Flow, 4, pp. 81–88. 3. Martin, C. S., and Padmanabhan, M., 1975, “The Effect of Free Gases on Pressure Transients,” L’Energia Elettrica, 5, pp. 262–267. 4. Martin, C. S., Padmanabhan, M., and Wiggert, D. C., 1976, “Pressure Wave Propagation in Two-Phase Bubbly Air-Water Mixtures,” Second International Conference on Pressure Surges, City University, London, England, paper C1, pp. 1–16. 5. Martin, C. S., and Padmanabhan, M., 1979, “Pressure Pulse Propagation in Two-Component-Slug Flow,” ASME J. Fluids Eng., 101, pp. 44–52.
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