title: ÐÐ¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÐµÑÐµÐ½Ð¸Ñ ÐºÑÐ¾Ð²Ð¸ Ð² ÑÐ°Ð¼ÐºÐ°Ñ Ð¼Ð¸ÐºÑÐ¾Ð¿Ð¾Ð»ÑÑÐ½Ð¾Ð¹ ÑÐµÐ¾ÑÐ¸Ð¸
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Modeling of blood flow in the framework of micropolar theory
Creators: name: ÐÐ¸Ð»ÑÑÐµÐ²ÑÐºÐ°Ñ, ÐÐ½Ð°ÑÑÐ°ÑÐ¸Ñ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2022
Subjects: ÐÐ¸Ð´ÐºÐ¾ÑÑÐ¸
ÐÐ°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
Ð°Ð³ÑÐµÐ³Ð°ÑÐ¸Ñ ÑÑÐ¸ÑÑÐ¾ÑÐ¸ÑÐ¾Ð²
Ð¼Ð¸ÐºÑÐ¾Ð¿Ð¾Ð»ÑÑÐ½Ð°Ñ ÑÐµÐ¾ÑÐ¸Ñ
Ð¼Ð¾Ð¼ÐµÐ½Ñ Ð¸Ð½ÐµÑÑÐ¸Ð¸
ÑÐµÑÐµÐ½Ð¸Ðµ ÐºÑÐ¾Ð²Ð¸
aggregation of red blood cells
micropolar theory
moment of inertia
blood flow

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description: The subject of the graduate qualification work is "Modeling of blood flow in the framework of micropolar theory". In the given work, the blood flow through vessels of various radii (including the case of variable cross section) was studied. The dependence of the blood viscosity on red blood cells aggregation, which changes with the shear rate and coordinates inside the vessel, was considered. It was proposed to introduce the new microstructural parameter as a characteristic of aggregation and to set an empirical constitutive equation for it. Within the framework of two approaches to the blood flow modeling, the moment of inertia in the spatial description and the volume fraction of erythrocytes were considered as a new microstructural parameter. The system of Navier-Stokes and incompressibility equations describing the flow of a fluid was supplemented by a constitutive equation for the moment of inertia in one case and for the volume fraction in the other. The problem was solved by the finite volume method for vessels of various geometries. Comparison with the experimental data for a narrow capillary showed the effectiveness of the proposed constitutive equation for describing the blood flow. Also, velocity profiles were obtained on the basis of the compiled empirical formula for various sections of a variable radius vessel. In addition, the flow through several vessels of the human circulatory system was studied.