A Theoretical Description of Blood Flow Through the Mitral Orifice

1989 ◽  
Vol 111 (2) ◽  
pp. 141-146 ◽  
Author(s):  
D. M. Bakalyar ◽  
A. M. Hauser ◽  
G. C. Timmis
Keyword(s):  
Blood Flow ◽  
Velocity Profile ◽  
Theoretical Description ◽  
Doppler Velocity ◽  
Comprehensive Model ◽  
Orifice Area ◽  
Ventricular Mechanics ◽  
Straight Line ◽  
Mitral Orifice ◽  
Flow Through

A nonlinear differential equation describing the Doppler velocity profile for blood flow through the mitral valve has been derived. This equation is based on fluid dynamics and a simple, but comprehensive model of atrial and ventricular mechanics. A numerical solution to the equation is described and provides excellent agreement with Doppler velocity curves obtained clinically. One important result of the theory is that in patients with mitral stenosis, the slope of the clinically observed straight-line descent of the velocity profile is proportional to the mitral orifice area and inversely proportional to the atrioventricular compliance.

MECHANICS OF BIOLOGICAL BLOOD FLOW ANALYSIS THROUGH CURVED ARTERY WITH STENOSIS

2016 ◽  
Vol 16 (03) ◽  
pp. 1650024 ◽  
Author(s):  
S. NADEEM ◽  
SHAGUFTA IJAZ
Keyword(s):  
Blood Flow ◽  
Velocity Profile ◽  
Pressure Gradient ◽  
Fluid Model ◽  
Flow Analysis ◽  
Euler Method ◽  
Flow Parameters ◽  
Curved Artery ◽  
Viscous Fluid Model ◽  
Flow Through

The viscous fluid model is considered in this article for the study of blood flow through an axis-symmetric stenosis with the effect of three distinct types of arteries i.e., diverging tapering arteries, converging tapering arteries and nontapered arteries. The Cauchy–Euler method has been used for the solution to velocity profile, resistance impedance to flow and the pressure gradient. The characteristics of viscous blood flow on velocity profile, impedance resistance to flow and pressure gradient have been discussed by plotting the graphs of various flow parameters and finally it is found that stenosis dominantes the curvature of curved artery.

Comparative Analyses of Blood Flow Through Mechanical Trileaflet and Bileaflet Aortic Valves

2021 ◽  
Author(s):  
Marek Pawlikowski ◽  
Anna Nieroda
Keyword(s):  
Blood Flow ◽  
Shear Stress ◽  
Flow Velocity ◽  
Circulatory System ◽  
Maximum Flow ◽  
Von Mises Stress ◽  
Effective Orifice Area ◽  
Aortic Valves ◽  
Orifice Area ◽  
Flow Through

Abstract The paper describes one of many issues concerning the human circulatory system. The simulation of blood flow through an artificial aortic heart valve using the finite element method (FEM) is the main subject of the paper. The studies aim to verify the performance of mechanical aortic valves of two types, i.e. bileaflet (BIL) and trileaflet (TRI) valves. The blood was modelled as Newtonian and non-Newtonian. Although the design of our TRI valve is preliminary and needs to be optimised, our results highlight some advances of such a valve geometry. This is manifested mainly by a central blood jet, contributing to more physiological blood flow and decreasing the risk of haemolysis. The central flow minimises the risk of leaflet dislocation. In addition, lower stresses extend the durability of the valve. However, the TRI valve geometry has also disadvantages, for instance, the occurrence of small peripheral streams or relatively low effective orifice area. The valves' performance was assessed by means of the reduced stress in the valves, the shear stress in the aortic wall, flow velocity field, and the effective orifice area. The maximum von Mises stress for the BIL valve leaflets is 0.3 MPa, and for the TRI valve: 0.06 MPa. The maximum flow velocity for the BIL valve is 4.52 m/s for 40° and for the TRI valve is 5.74 m/s. Higher shear stress is present in the BIL (151.5 Pa) than for the TRI valve (49.64 Pa).

A Non-Newtonian Fluid Flow Model for the Slip Condition on Blood Flow through a Stenosed Artery using Power-law Fluid

2018 ◽  
Vol 9 (7) ◽  
pp. 871-879
Author(s):  
Rajesh Shrivastava ◽  
R. S. Chandel ◽  
Ajay Kumar ◽  
Keerty Shrivastava and Sanjeet Kumar
Keyword(s):  
Blood Flow ◽  
Fluid Flow ◽  
Newtonian Fluid ◽  
Power Law ◽  
Flow Model ◽  
Slip Condition ◽  
Power Law Fluid ◽  
Stenosed Artery ◽  
Flow Through

scholarly journals Numerical Study of Blood Flow Through Artificial Heart Valves

2021 ◽  
Vol 1094 (1) ◽  
pp. 012120
Author(s):  
Hussein Togun ◽  
Ali Abdul Hussain ◽  
Saja Ahmed ◽  
Iman Abdul hussain ◽  
Huda Shaker
Keyword(s):  
Blood Flow ◽  
Artificial Heart ◽  
Heart Valves ◽  
Numerical Study ◽  
Artificial Heart Valves ◽  
Flow Through
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