Gas Pressure Evaluation through Radial Velocity Measurement of Fluid Flow Modeled by Drift Flux Model

In this paper, we consider a drift flux mixture model of the blood flow. The mixture consists of gas phase which is carbon dioxide and liquid phase which is an aqueous carbon dioxide solution. This model was used to determine the distributions of the mixture velocity, the mixture pressure, and the carbon dioxide pressure. These theoretical data are used to determine a measurement method of mean gas pressure through the determination of radial velocity distribution. This method can be applicable in experimental domain.

• Aicha Rima Cheniti
• Hatem Besbes
• Joseph Haggege
• Christophe Sintes

• Mean carbon dioxide pressure
• mean mixture pressure
• mixture velocity
• radial velocity.

[1] Ishii M., and Hibiki T., Thermo-Fluid Dynamics of Two-Phase Flow. New York: Springer, 2011.
[2] Randy S. Lagumbay, Oleg V. Vasilyev, and Andreas Haselbacher, “Homogeneous Equilibrium Mixture Model for Simulation of Multiphase/ Multicomponent Flows,” International Journal for Numerical Methodes in Fluids, 2007, pp. 1-32.
[3] Ishii M., and Kakac S., Advances in Two-Phase Flow and Heat Transfer, Fundamentals and Applications. Germany: Martinus Nijhoff Publishers,1983.
[4] Aicha Rima CHENITI, Hatem BESBES, Joseph HAGGEGE, and Christophe SINTES, “Toward ex-situ measurement of arterial carbon dioxide pressure,” in Proc. 35th IASTED International Conference Modelling, Identification and Control, Innsbruck, 2016, pp. 14–19.
[5] M. A. Rodriguez-Valverde, M. A. Cabrerizo-Vilchez, and R. Hidalgo-Alvarez, “The Young–Laplace equation links capillarity with geometrical optics,” European Journal of Physics,2003, pp. 159-168.
[6] Saul Goldmana, “Generalizations of the Young–Laplace equation for the pressure of a mechanically stable gas bubble in a soft elastic material,” The Journal of Chemical Physiscs, 2009, 184502.
[7] Joseph D. Bronzino, The biomedical engineering handbook. Boca Raton: CRC Press LLC, 2000.