Evaluation of Carbon Dioxide Pressure through Radial Velocity Difference in Arterial Blood Modeled by Drift Flux Model
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 32769
Evaluation of Carbon Dioxide Pressure through Radial Velocity Difference in Arterial Blood Modeled by Drift Flux Model

Authors: Aicha Rima Cheniti, Hatem Besbes, Joseph Haggege, Christophe Sintes

Abstract:

In this paper, we are interested to determine the carbon dioxide pressure in the arterial blood through radial velocity difference. The blood was modeled as a two phase mixture (an aqueous carbon dioxide solution with carbon dioxide gas) by Drift flux model and the Young-Laplace equation. The distributions of mixture velocities determined from the considered model permitted the calculation of the radial velocity distributions with different values of mean mixture pressure and the calculation of the mean carbon dioxide pressure knowing the mean mixture pressure. The radial velocity distributions are used to deduce a calculation method of the mean mixture pressure through the radial velocity difference between two positions which is measured by ultrasound. The mean carbon dioxide pressure is then deduced from the mean mixture pressure.

Keywords: Mean carbon dioxide pressure, mean mixture pressure, mixture velocity, radial velocity difference.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1125533

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1119

References:


[1] Iain A M Hennessey and Alan G Japp, Arterial Blood Gases made easy. China: Elsevier, 2007, part1.
[2] Ashfaq Hasan, Handbook of Blood Gas/Acid-Base Interpretation. London: Springer, 2009, ch. 1.
[3] Radiometer, Le guide du gaz du sang. Denmark: Radiometer Medical ApS, 2011, pp. 13.
[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] Ishii M., and Hibiki T., Thermo-Fluid Dynamics of Two-Phase Flow. New York: Springer, 2011.
[6] 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.
[7] 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.