Modeling pulsatile blood flow within a homogeneous porous bed in the presence of a uniform magnetic field and time-dependent suction

2007 ◽  
Vol 34 (8) ◽  
pp. 989-995 ◽  
Author(s):  
A. Ogulu ◽  
E. Amos
Keyword(s):  
Magnetic Field ◽  
Blood Flow ◽  
Uniform Magnetic Field ◽  
Time Dependent ◽  
Pulsatile Blood Flow ◽  
Porous Bed

Time-dependent correlations for a one-component plasma in a uniform magnetic field

1987 ◽  
Vol 47 (1-2) ◽  
pp. 229-256 ◽  
Author(s):  
B. Jancovici ◽  
N. Macris ◽  
Ph. A. Martin
Keyword(s):  
Magnetic Field ◽  
Uniform Magnetic Field ◽  
Time Dependent ◽  
Component Plasma

Electromagnetic radiation from a laser produced plasma expanding into a uniform magnetic field

1970 ◽  
Vol 4 (3) ◽  
pp. 573-583 ◽  
Author(s):  
H. Searl Dunn ◽  
Moshe J. Lubin
Keyword(s):  
Magnetic Field ◽  
Theoretical Model ◽  
Spherical Symmetry ◽  
Uniform Magnetic Field ◽  
Far Infrared ◽  
Detailed Comparison ◽  
Time Dependent ◽  
Laser Produced Plasma ◽  
Radiation History ◽  
Far Infrared Radiation

A laser produced plasma expanding in a uniform magnetic field emits far infrared radiation. The time-dependent radiation history is calculated assuming spherical symmetry and compared with experiment. General features of the radiation history agree well with experimental observation. However, a detailed comparison is difficult because of the oversimplified theoretical model employed.

A mathematical analysis of MHD blood flow of Eyring–Powell fluid through a constricted artery

2016 ◽  
Vol 09 (02) ◽  
pp. 1650027 ◽  
Author(s):  
Najma Saleem ◽  
Sufian Munawar
Keyword(s):  
Magnetic Field ◽  
Mathematical Model ◽  
Blood Flow ◽  
Shear Stress ◽  
Pressure Drop ◽  
Mathematical Analysis ◽  
Uniform Magnetic Field ◽  
Symmetric Form ◽  
Regular Perturbation ◽  
Irregular Shapes

The present study deals with the flow of blood through a stenotic artery in the presence of a uniform magnetic field. Different flow situations are taken into account by considering the regular and irregular shapes of stenosis lying inside the walls of artery. Blood inside the artery is assumed to be Eyring–Powell fluid. A mathematical model is developed and simplified under the physical assumptions of stenosis. The regular perturbation method is adopted to find the solutions for axial velocity and pressure gradient. The variations in pressure drop across the stenosis length, the impedance and the shear stress at the walls of stenotic artery are discussed in detail through graphs. It is observed that the Eyring–Powell fluid is helpful in reducing the resistance to the flow in stenotic artery. Moreover, symmetric form of stenosis is more hazardous as compared to asymmetric stenosis.

scholarly journals A Blood Flow Volume Linear Inversion Model Based on Electromagnetic Sensor for Predicting the Rate of Arterial Stenosis

Sensors ◽  
2019 ◽  
Vol 19 (13) ◽  
pp. 3006
Author(s):  
Dan Yang ◽  
Yan-jun Liu ◽  
Bin Xu ◽  
Yun-hui Duo
Keyword(s):  
Magnetic Field ◽  
Finite Element ◽  
Blood Flow ◽  
Uniform Magnetic Field ◽  
Geometric Model ◽  
Arterial Stenosis ◽  
Flow Volume ◽  
Linear Inversion ◽  
Inversion Model ◽  
Blood Flow Volume

This paper presents a mathematical model of measuring blood flow based on electromagnetic induction for predicting the rate of arterial stenosis. Firstly, an electrode sensor was used to collect the induced potential differences from human skin surface in a uniform magnetic field. Then, the inversion matrix was constructed by the weight function theory and finite element method. Next, the blood flow volume inversion model was constructed by combining the induction potential differences and inversion matrix. Finally, the rate of arterial stenosis was predicted based on mathematical relationship between blood flow and the area of arterial stenosis. To verify the accuracy of the model, a uniform magnetic field distribution of Helmholtz coil and a 3D geometric model of the ulnar artery of the forearm with different rates of stenosis were established in COMSOL, a finite element analysis software. Simulation results showed that the inversion model had high accuracy in the measurement of blood flow and the prediction of rate of stenosis, and is of great significance for the early diagnosis of arterial stenosis and other vessel diseases.

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