A simple two-phase frictional pressure drop calculation method

Beattie, D. R. H.; Whalley, P.B.

doi:10.1016/0301-9322(82)90009-x

Cited by 464 publications

(151 citation statements)

References 7 publications

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“…The predicted values for the 5 mm tests are therefore the half of the values for the 50 mm tests. Beattie and Whalley (1982) concluded from the good performance of their simple homogeneous model that the mass velocity effect is not as significant as proposed by many investigators. They suggested that errors due to the neglect of mass velocity effects are less than those due to the neglect of …”

Section: Discussionmentioning

confidence: 86%

Centrifugal scaling of isothermal gas-liquid flow in horizontal tubes

Geraets

1988

International Journal of Multiphase Flow

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Section: Discussionmentioning

confidence: 86%

Centrifugal scaling of isothermal gas-liquid flow in horizontal tubes

Geraets

1988

International Journal of Multiphase Flow

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“…The surrounding liquid pressure is decreased by imposing a negative pressure pulse and the variation of bubble radius is then estimated by Eq. (13). Under the assumption of no bubble coalescing and breaking the variation of gas volume fraction is evaluated and the mean sonic speed at different bubble radius is calculated.…”

Section: Compressibility Of Bubble-liquid Mixturementioning

confidence: 99%

“…The mean viscosity of the two-phase mixture is estimated by the following formula given by Beattie et al [13].…”

Section: Governing Equations For Turbulent Cavitating Flowmentioning

confidence: 99%

Numerical Simulation of Unsteady Cavitation in a High-speed Water Jet

Peng¹,

Okada²,

Yang³

et al. 2016

International Journal of Fluid Machinery and Systems

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Concerning the numerical simulation of high-speed water jet with intensive cavitation this paper presents a practical compressible mixture flow method by coupling a simplified estimation of bubble cavitation and a compressible mixture flow computation. The mean flow of two-phase mixture is calculated by URANS for compressible fluid. The intensity of cavitation in a local field is evaluated by the volume fraction of gas phase varying with the mean flow, and the effect of cavitation on the flow turbulence is considered by applying a density correction to the evaluation of eddy viscosity. High-speed submerged water jets issuing from a sheathed sharp-edge orifice nozzle are treated when the cavitation number, σ = 0.1, and the computation result is compared with experimental data The result reveals that cavitation occurs initially at the entrance of orifice and bubble cloud develops gradually while flowing downstream along the shear layer. Developed bubble cloud breaks up and then sheds downstream periodically near the sheath exit. The pattern of cavitation cloud shedding evaluated by simulation agrees experimental one, and the possibility to capture the unsteadily shedding of cavitation clouds is demonstrated. The decay of core velocity in cavitating jet is delayed greatly compared to that in no-activation jet, and the effect of the nozzle sheath is demonstrated.

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“…En este grupo se encuentran las ecuaciones de McAdams et al (1942), Bankoff (1960), Dukler et al (1964), Beattie y Whalley (1982), Lin et al (1991) y Fourar y Bories (1995. Como ejemplo se graficó el comportamiento de la viscosidad reportada por Fourar y Bories (1995).…”

Section: Estudio De La Viscosidad De Mezclaunclassified

“…Al evaluar la precisión de los 76 modelos para determinar el gradiente de presión frente a la base de datos, se puede concluir que los mejores resultados se obtienen con modelos que utilizan las ecuaciones de densidad de Oliemans (1976) y Beattie y Whalley (1982. Al realizar el estudio por viscosidad de mezcla para la caída de presión, en general se observa que los mejores resultados se obtienen utilizando ecuaciones de viscosidad de mezcla que utilizan la fracción volumétrica de líquido sin deslizamiento.…”

Section: Conclusionesunclassified

Efecto de la Viscosidad y de la Densidad de Mezcla en el Gradiente de Presión de Flujo Homogéneo Gas-Líquido en Tuberías Horizontales

García¹,

García

2009

Inf. tecnol.

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ResumenEn este trabajo se evalúa la precisión de 76 modelos homogéneos de gradiente de presión para determinar el gradiente de presión experimental reportado en una base de 2415 datos de flujos bifásico gas-líquido en tuberías horizontales. Estos modelos se formularon a partir de 4 ecuaciones de densidad de mezcla combinadas con 19 ecuaciones de viscosidad de mezcla. Al estudiar el efecto de la viscosidad y de la densidad de mezcla en el gradiente de presión, utilizando el modelo homogéneo, se observa que el mejor modelo obtuvo un error absoluto promedio de 25.7%, mientras que el peor modelo obtuvo un error cercano al 2000%. Los resultados obtenidos indican que la precisión del modelo homogéneo de gradiente de presión de flujo bifásico gas-líquido, depende significativamente de la adecuada selección de las ecuaciones de viscosidad y de densidad de mezcla. Palabras clave: gradiente de presión, viscosidad de mezcla, densidad de mezcla, flujo gas-líquido Effect of the Mixture Viscosity and the Mixture Density on the Pressure Gradient of Gas-Liquid Homogeneous Flow in Horizontal Pipelines AbstractIn this work the performance of 76 pressure gradient homogeneous models is evaluated in order to determine the experimental pressure gradient reported in a database consisting of 2415 gas-liquid two-phase flow experiments in horizontal pipes. These models were formulated starting from 4 mixture density equations combined with 19 mixture viscosity equations. To study the mixture viscosity and the mixture density effect in the pressure gradient, using the homogeneous model, it is observed that the best model gave an average absolute error of 25.7%, while the worst model obtained an error close to 2000%. The obtained results indicate that the performance of the gasliquid two-phase flow pressure gradient homogeneous model depends significantly on the appropriate selection of the mixture viscosity and the mixture density equations.

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A simple two-phase frictional pressure drop calculation method

Cited by 464 publications

References 7 publications

Centrifugal scaling of isothermal gas-liquid flow in horizontal tubes

Centrifugal scaling of isothermal gas-liquid flow in horizontal tubes

Numerical Simulation of Unsteady Cavitation in a High-speed Water Jet

Efecto de la Viscosidad y de la Densidad de Mezcla en el Gradiente de Presión de Flujo Homogéneo Gas-Líquido en Tuberías Horizontales

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