INVESTIGATION OF BLOOD FLOW ON THE INPUT OF AORTA

Authors

  • Eu. A. Nastenko National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”

DOI:

https://doi.org/10.18372/1990-5548.57.13248

Keywords:

Aorta, vortex flows, swirling currents, Navier–Stokes equation, integral transformations, left ventricle

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.

Author Biography

Eu. A. Nastenko, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”

Department of Biomedical Сybernetics

Doctor of Biologic Science. Professor. Head of Department

References

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Issue

Vol. 3 No. 57 (2018)

Section

MATHEMATICAL MODELING OF PROCESSES AND SYSTEMS

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