scholarly journals Micropolar Blood Flow in a Magnetic Field

Fluids ◽  
2021 ◽  
Vol 6 (3) ◽  
pp. 133
Author(s):  
George C. Bourantas

In this paper we numerically solve a flow model for the micropolar biomagnetic flow (blood flow) in a magnetic field. In the proposed model we account for both electrical and magnetic properties of the biofluid and we investigate the role of microrotation on the flow regime. The flow domain is in a channel with an unsymmetrical single stenosis, and in a channel with irregular multi-stenoses. The mathematical flow model consists of the Navier–Stokes (N–S) equations expressed in their velocity–vorticity (u–ω) variables including the energy and microrotation transport equation. The governing equations are solved by using the strong form meshless point collocation method. We compute the spatial derivatives of the unknown field functions using the discretization correction particle strength exchange (DC PSE) method. We demonstrate the accuracy of the proposed scheme by comparing the numerical results obtained with those computed using the finite element method.


2012 ◽  
Vol 66 (5) ◽  
pp. 909-917 ◽  
Author(s):  
Fatemeh Rostami ◽  
Saeed Reza Sabbagh Yazdi ◽  
Md Azlin Md Said ◽  
Mahdi Shahrokhi

Undular hydraulic jumps are characterized by a smooth rise of the free surface, followed by a train of stationary waves. These jumps sometimes occur in natural waterways and rivers. Numerical difficulties are especially distinct when the flow condition is close to the critical value because of the high sensitivity of the near-critical flow field to flow and channel conditions. Furthermore, the free surface has a wavy shape, which may indicate the occurrence of several transitions from supercritical to subcritical states and vice versa (i.e., undular hydraulic jumps). In this study, a flow model is used to predict an undular hydraulic jump in a rectangular open channel. The model is based on the general two-dimensional, Reynolds-averaged, Navier–Stokes flow equations. The resulting set of partial differential equations is solved using the FLOW-3D solver. The results are compared with the experimental data to validate the model. The comparative analysis shows that the proposed model yields good results. Several types of undular hydraulic jumps occurring in different situations are then simulated to prove the potential application of the model.



2020 ◽  
Vol 131 ◽  
pp. 109540
Author(s):  
C.B. Tabi ◽  
P.A.Y. Ndjawa ◽  
T.G. Motsumi ◽  
C.D.K. Bansi ◽  
T.C. Kofané


2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Satyasaran Changdar ◽  
Soumen De

An appropriate nonlinear blood flow model under the influence of periodic body acceleration through a multiple stenosed artery is investigated with the help of finite difference method. The arterial segment is simulated by a cylindrical tube filled with a viscous incompressible Newtonian fluid described by the Navier-Stokes equation. The nonlinear equation is solved numerically with the proper boundary conditions and pressure gradient that arise from the normal functioning of the heart. Results are discussed in comparison with the existing models.



2019 ◽  
Vol 31 (7) ◽  
pp. 071901 ◽  
Author(s):  
Sneha Jaiswal ◽  
Pramod Kumar Yadav


Author(s):  
Zhihua Xie ◽  
Xianyun Wen ◽  
Andrew N. Ross

A two-phase flow model is addressed in this study to investigate effects of wind on breaking solitary waves, by solving the Reynolds-averaged Navier-Stokes (RANS) equations simultaneously for the flows both in the air and water, in which the free surface is calculated by the Volume-of-Fluid (VOF) method. First, the proposed model is validated with the experiment by Synolakis [1] of a breaking solitary wave without wind on a 1 : 19.85 impermeable beach. Then the wind effects are taken into account for modelling breaking solitary waves and it is found that the wind alters the air flow structure above the water wave; affects the wave breaking and runup process; increases the velocity in the water and causes the waves to break earlier, which agrees with previous laboratory experiment by Douglass [2].









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