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Technical Brief

# A Note on Mixture Density Using the Shannak Definition

[+] Author and Article Information

Mechanical Power Engineering Department, Mansoura University, Mansoura 35516, Egypt e-mail: m_m_awad@mans.edu.eg

Manuscript received April 26, 2014; final manuscript received September 26, 2014; published online February 9, 2015. Assoc. Editor: Richard R. Schultz.

ASME J of Nuclear Rad Sci 1(1), 014501 (Feb 09, 2015) (2 pages) Paper No: NERS-14-1003; doi: 10.1115/1.4026388 History: Received April 26, 2014; Accepted November 14, 2014; Online February 09, 2015

## Abstract

In this study, a note on mixture density using the Shannak definition of the Froude number is presented (Shannak, B., 2009, “Dimensionless Numbers for Two-Phase and Multiphase Flow,” Proceedings of the International Conference on Applications and Design in Mechanical Engineering (ICADME), Penang, Malaysia, Oct. 11–13, 2009). From the definition of the two-phase Froude number, an expression of the two-phase density is obtained. The definition of the two-phase density can be used to compute the two-phase frictional pressure gradient using the homogeneous modeling approach in circular pipes, minichannels, and microchannels. We cannot have $gas density≤two-phase density≤liquid density$ for $0≤mass quality≤1$. Therefore, attention must be paid when using the obtained expression of the two-phase density in this note at any $x$ value.

## References

Awad, M. M., 2014, “A Note on the Mixture Viscosity Using the Shannak Definition,” Ann. Nucl. Energ., 65, pp. 239–240.
Shannak, B. A., 2008, “Frictional Pressure Drop of Gas Liquid Two-Phase Flow in Pipes,” Nucl. Eng. Design, 238(12), pp. 3277–3284.
McAdams, W. H., Woods, W. K., and Heroman, L. C., 1942, “Vaporization inside Horizontal Tubes. II: Benzene-Oil Mixtures,” Trans. ASME, 64(3), pp. 193–200.
Cicchitti, A., Lombaradi, C., Silversti, M., Soldaini, G., and Zavattarlli, R., 1960, “Two-Phase Cooling Experiments: Pressure Drop, Heat Transfer, and Burnout Measurements,” Energ. Nucl., 7(6), pp. 407–425.
Awad, M. M., and Muzychka, Y. S., 2008, “Effective Property Models for Homogeneous Two Phase Flows,” Exp. Therm. Fluid Sci., 33(1), pp. 106–113.
Shannak, B., 2009, “Dimensionless Numbers for Two-Phase and Multiphase Flow,” Proceedings of the International Conference on Applications and Design in Mechanical Engineering (ICADME), Penang, Malaysia, Oct. 11–13.
Awad, M. M., 2012, “Two-Phase Flow,” An Overview of Heat Transfer Phenomena, S. N. Kazi, ed., InTech, Rijeka, Croatia, pp. 251–340. ISBN: 978-953-51-0827-6, .

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