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Related papers: Elliptic cross sections in blood flow regulation

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Pulsatile flow through compressed or defective blood vessels is a topic of fundamental importance in hemodynamics, particularly in cardiovascular research. This study examines flow dynamics within a tube with a bipolar cross section,…

Medical Physics · Physics 2025-03-04 Doyeol , Ahn

The asymptotic derivation of a new family of one-dimensional, weakly nonlinear and weakly dispersive equations that model the flow of an ideal fluid in an elastic vessel is presented. Dissipative effects due to the viscous nature of the…

Fluid Dynamics · Physics 2020-02-20 Dimitrios Mitsotakis , Denys Dutykh , Li Qian

A new two-dimensional model for blood flows in arteries with arbitrary cross sections is derived. The model consists of a system of balance laws for conservation of mass and balance of momentum in the axial and angular directions. The…

Numerical Analysis · Mathematics 2021-08-23 Cesar Alberto Rosales-Alcantar , Gerardo Hernandez-Duenas

We consider the fully-developed flow of an incompressible Newtonian fluid in a cylindrical vessel with elliptical cross-section (both an ellipse and the annulus between two confocal ellipses). In particular, we address an inverse problem,…

Analysis of PDEs · Mathematics 2013-01-01 Luigi C. Berselli , Francesca Guerra , Barbara Mazzolai , Edoardo Sinibaldi

Cardiac disease and clinical intervention may both lead to an increased risk for thrombosis events due to modified blood flow in the heart, and thereby a change in the mechanical stimuli of blood cells passing through the chambers of the…

The blood vascular system consists of blood vessels such as arteries, arterioles, capillaries and veins that convey blood throughout the body. The pressure difference which exists between the ends of the vessels provides the living force…

Tissues and Organs · Quantitative Biology 2020-04-21 Tahmineh Azizi , Robert Mugabi

Much debate surrounds the mechanisms responsible for the occurrence of blunt traumatic aortic rupture in car accidents, particularly on the role of the inertial body force experienced by the blood due to the abrupt deceleration. The…

Fluid Dynamics · Physics 2019-03-18 Giuseppe Di Labbio , Zahra Keshavarz-Motamed , Lyes Kadem

Motivated by the reported peculiar dynamics of a red blood cell in shear flow, we develop an analytical theory for the motion of a nearly--spherical fluid particle enclosed by a visco--elastic incompressible interface in linear flows. The…

Fluid Dynamics · Physics 2010-07-06 Petia M. Vlahovska , Yuan-nan Young , Gerrit Danker , Chaouqi Misbah

We report computational results of blood flow through a model of the human aortic arch and a vessel of actual diameter and length. On the top of the aortic arch the branching of the %%three arteries are included: the subclavian and jugular.…

Fluid Dynamics · Physics 2008-11-11 Renat A. Sultanov , Dennis Guster

Contemporary paradigm of vascular hemodynamics considers normal blood flow to be pulsatile laminar flow. Transition to turbulence can cause diseases such as atherosclerosis or brain aneurysms. Recently, we demonstrated the existence of…

In biology, cells undergo deformations under the action of flow caused by the fluid surrounding them. These flows lead to shape changes and instabilities that have been explored in detail for single component vesicles. However, cell…

Fluid Dynamics · Physics 2025-10-15 Anirudh Venkatesh , Vivek Narsimhan

We investigate flow of incompressible fluid in a cylindrical tube with elastic walls. The radius of the tube may change along its length. The discussed problem is connected to the blood flow in large human arteries and especially to…

Fluid Dynamics · Physics 2015-09-30 Zlatinka I. Dimitrova

Hydrodynamic problems with stagnation points are of particular importance in fluid mechanics as they allow study and investigation of elongational flows. In this article, the uniaxial elongational flow appearing at the surface of a…

Fluid Dynamics · Physics 2021-06-08 A. Emamian M. Norouzi , M. Davoodi

The paper is devoted to a study of the peristaltic motion of blood in the micro-circulatory system. The vessel is considered to be of varying cross-section. The progressive peristaltic waves are taken to be of sinusoidal nature. Blood is…

Fluid Dynamics · Physics 2012-12-17 J. C. Misra , S. Maiti

Blood pressure regulation is commonly addressed in terms of local mechanisms such as vascular resistance, compliance and neurohumoral control. However, the human vasculature encompasses multiple quasi-closed flow loops under both…

Medical Physics · Physics 2026-02-11 Arturo Tozzi

Understanding the physics of blood is challenging due to its nature as a suspension of soft particles and the fact that typical problems involve different scales. This is valid also for numerical investigations. In fact, many computational…

Soft Condensed Matter · Physics 2011-09-16 Florian Janoschek , Federico Toschi , Jens Harting

The deformation of two-dimensional vortex patches in the vicinity of fluid boundaries is investigated. The presence of a boundary causes an initially circular patch of uniform vorticity to deform. Sufficiently far away from the boundary,…

Fluid Dynamics · Physics 2013-02-19 A. Crosby , E. R. Johnson , P. J. Morrison

The influence of the underlying flow topology on the shape and size of sub-Kolmogorov droplets dispersed in a turbulent flow is of considerable interest in many industrial and scientific applications. In this work we study the deformation…

Fluid Dynamics · Physics 2016-12-21 Vamsi Spandan , Roberto Verzicco , Detlef Lohse

Methods of Computational Fluid Dynamics are applied to simulate pulsatile blood flow in human vessels and in the aortic arch. The non-Newtonian behaviour of the human blood is investigated in simple vessels of actual size. A detailed…

Computational Physics · Physics 2008-02-19 Renat A. Sultanov , Dennis Guster , Brent Engelbrekt , Richard Blankenbecler

Blood exhibits a heterogeneous nature of hematocrit, velocity, and effective viscosity in microcapillaries. Microvascular bifurcations have a significant influence on the distribution of the blood cells and blood flow behavior. This paper…

Biological Physics · Physics 2016-02-24 Tong Wang , Uwitije Rongin , Zhongwen Xing
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