### INVESTIGATION OF BLOOD FLOW ON THE INPUT OF AORTA

#### Abstract

*The processes of blood flow in the aorta under the influence of swirling blood flow at the output from the left ventricle of the heart are studied. The problem of simulated swirling flow of blood in the left ventricle as a nonlinear boundary value problem in the form of a system of differential equations in partial derivatives with moving limits is formulated. Expressions for the field of blood flow velocity and pressure in the left ventricle are obtained. The flow of blood in the aorta under the influence of a swirling flow at the exit from the left ventricle is described by a system of nonlinear equations in partial derivatives. The solution of this boundary-value problem is sought using an iterative procedure based on using integral transformations for spatial variables and time.*

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#### References

F. Domenichini and G. Pedrizetti, “Asymptotic model of fluid-tissue interaction for mitral valve dynamics,” Cardiovascular Engineering and technologe, vol. 6, no 2, pp. 95–104, June 2015.

F. Domenichini, G. Pedrizzetti, and B. Baccani, “Three-dimensional filling flow into a model left ventricle,” J. Fluid Mech. vol. 539, pp. 179–198, 2005.

F. Domenichini and G. Pedrizzetti, “Hemodynamic forces in a model left ventricle,” Physical Review Fluids, 083201, 2016.

I. Borazjani, J. Westerdale, and E. McMahon, “Left Ventricular Flow Analysis: Recent Advances in Numerical Methods and Applications in Cardiac Ultrasound,” Computational and Mathematical Methods in Medicine Volume 2013, Article ID 395081, 11 p. http://dx.doi.org/10.1155/2013/395081

B. Baccani, F. Domenichini, and G. Pedrizzetti, “Vortex dynamics in a model left ventricle during filling,” European Journal of Mechanics B/Fluids 21, pp. 527–543, 2002.

R. Keber, Computational fluid dynamics simulation of human left ventricular flow, PhD Dissertation, University of Karlsruhe, Karlsruhe, 2003.

K. H. Zelensky, V. M. Ignatenko, and K. S. Bowsunovsky, “Computer modeling of air mixtures in cyclone chambers,” Rep. between Sat ASAU, Kyiv, no. 1 (22), pp. 120–134, 2013.

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