IMPORTANCE OF GAS DYNAMICS IN THE FLOW OF BODY FLUIDS
Most of the studies that have been done on body fluid flows do not consider density variations and compressibility effects.
This paper presents an analysis of the work that has been done on the physiological flows that occur in the human body and the models that have been proposed to model the ducts of the circulatory and respiratory system of the human body. The importance of the subject of gas dynamics for the solution of these flow problems is observed. It is seen how the Navier-Stokes equations can be used to determine the blood flow and pressure in the blood vessels, as well as to model the systemic arteries as a bifurcated tree of conformal and conical vessels.
A summary of the equations obtained from the asymmetric Navier- Stokes equations and a shock wave approximation is presented. In these works, which are based on the study of the gas dynamics of blood flow, the results obtained are verified by comparing the data of the models and simulations with data obtained by means of magnetic resonance or experimental studies.
gas dynamics, Navier-Stokes equations, physiological fluid flow, blood pressure, circulatory system.
Received: November 7, 2023; Accepted: December 29, 2023; Published: January 8, 2024
How to cite this article: Oscar V. Osorio D., Miguel Toledo Velázquez, Florencio Sánchez S., Mónica Toledo G. and Felix F. Leon V., Importance of gas dynamics in the flow of body fluids, Advances and Applications in Fluid Mechanics 30(2) (2023), 157-167. http://dx.doi.org/10.17654/0973468623009
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
References:[1] Thomas J. Mueller, Application of numerical methods to physiological flows, Computational Fluid Dynamics, VKI Lecture Series No. 87, 1976, 92 pp.[2] John E. Hall, John Edward and A. Guyton, Tratado de fisiología médica, Elsevier Health Science, 1946.[3] M. S. Olufsen, A one-dimensional fluid dynamic model of the systemic arteries, Computational Modeling in Biological Fluid Dynamics, Vol. 124, Springer, New York, NY, 2001.[4] R. L. Mott, J. A. Untener and J. E. Murrieta Murrieta, Mecánica de fluidos (Séptima edición), Pearson Educación, 2015.[5] Thomas J. Mueller and R. S. Figliola, On the hemolytic potential of occlude prosthetic heart valves from in-vitro measurements, ASME Journal of Biomechanical Engineering 103(2) (1981), 83-90.[6] Encyclopedia Britannica, 2022.https://www.britannica.com/science/circulatory-system.[7] H. B. Atabek and H. S. Lew, Wave propagation through a viscous incompressible fluid contained in an initially stressed elastic tube, Biophys. 6 (1966), 481-503.