34 research outputs found
Stability and control of the blood flow in the arterial vessels as multilayered anisotropic tubes
Stability analysis of blood flow in multilayered viscoelastic tubes
Blood flow in arteries and veins as collapsible tubes is
determined by fluid–structure interaction. Multilayered
structure of the vessel wall and mechanical properties of
its layers may influence the flow stability, flow rate and
wall oscillations. Material parameters of the layers are
estimated in experiments
Suppression of Absolute Instabilities by Appropriate Choice of Rheological Parameters of Anisotropic Viscoelastic Tube Conveying Fluid
The stability of the steady flow of a viscous
liquid through a thick-wall, three-layer, viscoelastic tube
with different rheological parameters for each layer is
studied. It is shown that the system can be in both absolute
and convective unstable states. It is shown that the absolute
instability of the system can be converted into a convective
instability, and in some cases the system can even be
stabilized with an appropriate choice of the rheological
parameters. It is found that an anisotropic tube composed
of layers possessing distinct rheological values can
completely eliminate all absolute instability modes. The
present model can be applied to blood vessels that are
composed of three viscoelastic layers with distinct
rheological properties and to distensible tubes conveying
fluids in different technical devices
Suppression of Absolute Instabilities by Appropriate Choice of Rheological Parameters of Anisotropic Viscoelastic Tube Conveying Fluid
Elastic wing response’s to an incoming gust
The behavior of thin elastic blade and wing subjected to a travelingdisturbance is considered. The blade response to an incoming gust ispredicted, then the pressure around the blade is coupled to the far fieldpressure in order to predict the intensity of acoustic radiation as well as theacoustic wave propagation in far field. The effect of the elasticity of theblade on the acoustic wave is predicted. The blade vibration induced bylanding acoustic wave is investigated. The two dimensions inviscid flowaerodynamic theorem associated with the strip theorem are used to modelthe flow around the elastic thin wing. Bernoulli-Euler theorem are used inorder to describe the wing motion. The fluid and the wing motions arecoupled via the boundaries condition at the blade surface. The incominggust considered here is a monochromatic wave traveling with a givenspeed. The problem formulation leads to a forced well known aeroelasticityFung equation. The eigenvalue of the homogeneous part are computedand a formal solution of the forced equation is obtained.The behavior of thin elastic blade and wing subjected to a travelingdisturbance is considered. The blade response to an incoming gust ispredicted, then the pressure around the blade is coupled to the far fieldpressure in order to predict the intensity of acoustic radiation as well as theacoustic wave propagation in far field. The effect of the elasticity of theblade on the acoustic wave is predicted. The blade vibration induced bylanding acoustic wave is investigated. The two dimensions inviscid flowaerodynamic theorem associated with the strip theorem are used to modelthe flow around the elastic thin wing. Bernoulli-Euler theorem are used inorder to describe the wing motion. The fluid and the wing motions arecoupled via the boundaries condition at the blade surface. The incominggust considered here is a monochromatic wave traveling with a givenspeed. The problem formulation leads to a forced well known aeroelasticityFung equation. The eigenvalue of the homogeneous part are computedand a formal solution of the forced equation is obtaine
Stability analysis of blood flow in multilayered viscoelastic tubes
Blood flow in arteries and veins as collapsible tubes is
determined by fluid–structure interaction. Multilayered
structure of the vessel wall and mechanical properties of
its layers may influence the flow stability, flow rate and
wall oscillations. Material parameters of the layers are
estimated in experiments
Stabilization of the turbulent flows in anisotropic viscoelastic tubes
Abstract
Flow around the aircrafts and marine vehicles is turbulized that increases the skin-friction drag and fuel consumption. Here stability of the fully developed turbulent flow of an incompressible fluid in the viscoelastic tube is considered. The eddy viscosity concept is considered to be adequate and the flow velocity, wall displacement and pressures in the fluid and solid wall are timeaveraged quantities. Continuity conditions for the components of the velocity and stress tensor at the fluid-wall interface and no displacement condition at the outer wall of the tube are considered. Solution of the coupled system has been found in the form of the normal mode and the obtained system has been studied using the numerical technique described in [1,2]. The temporal and spatial eigenvalues and the dependencies of the temporal and spatial amplification rates on the rheological parameters of the wall have been computed. It was shown stability of the modes can be increased by a proper choice of the wall parameters. Successful combinations of the wall thickness, elasticity and viscosity have been found for a large variety of materials. It was shown a substantial reduction in the viscous wall shear stress accompanied by a decrease in the turbulence production or Reynolds stress can be reached via using the viscoelastic coating on the rigid surface. The obtained results are in a good agreement with recent direct numerical computations [3]