Numerical simulation of magnetohydrodynamic influences on casson model for blood flow through an overlapping stenosed artery Ahmed Bakheet, Esam A. Alnussairy Iraqi Journal of Science, 2021 Magnetohydrodynamic (MHD) effects of unsteady blood flow on Casson fluid through an artery with overlapping stenosis were investigated. The nonlinear governing equations accompanied by the appropriate boundary conditions were discretized and solved based on a finite difference technique, using the pressure correction method with MAC algorithm. Moreover, blood flow characteristics, such as the velocity profile, pressure drop, wall shear stress, and patterns of streamlines, are presented graphically and inspected thoroughly for understanding the blood flow phenomena in the stenosed artery.
Study of orbits on the finite projective plane Najm Abdulzahra Makhrib Al-Seraji, Ahmed Bakheet, Zainab Sadiq Jafar Journal of Interdisciplinary Mathematics, 2020 The aims of this paper are to classify the group action on a projective plane PG(2, q), when q 2 + q + 1 is not a prime, and then describe the geometry of these orbits with values of q = 43, 47, 49. Investigate partitions of PG(2, q) with q = 49, into subgeometries PG(2, q) when q = 7. Also establish codes and arcs with different degrees.
Generalized power-law model of magnetohydrodynamic blood flow with heat transfer Ahmed Bakheet, Esam A Alnussairy, Zuhaila Ismail, Norsarahaida Amin Indian Journal of Public Health Research and Development, 2018 Unsteady non-Newtonian blood fow characterized by the generalized power-law model subjected to an external magnetic feld together with heat transfer through stenosed artery has been developed. The arterial segment is assumed to be a cylindrical tube and the arterial wall is considered to be fexible having cosine shaped stenoses a condition due to the abnormal narrowing of a blood vessel. The full equations comprising the governing equations of motion, heat equation, the initial and the boundary conditions are solved using numerical procedure involves the discretization of the equations using the Marker and Cell (MAC) method, where pressure along the artery is calculated iteratively using the Successive-Over-Relaxation (SOR) technique. The results demonstrated through the simulations that under the infuence of magnetic feld, the blood temperature distribution over the entire arterial segment increases. The present results also predict the effects of the generalized power-law index and the Prandtl number on the distribution of blood temperature.
Numerical model for unsteady airflow in inclined human trachea Esam A. Alnussairy, Ahmed Bakheet, Norzieha Mustapha, Norsarahaida Amin Aip Conference Proceedings, 2017 Achieving an accurate and efficient model for inclined bed therapy is ever-demanding. A new mathematical model for simulating airflow inside human trachea under resting and normal breathing scenario, where the influence of inclination angle on the unsteady flow is determined. The governing equations of motion consisting of unsteady, nonlinear, non-homogenous, Navier-Stokes equations are derived and numerically solved using the Marker and Cell method in Matlab code. Two-dimensional cylindrical coordinate system with appropriate initial and boundary conditions are used. The discretization is performed on uniform staggered grids. The pressure is calculated iteratively using the Successive-Over-Relaxation method. Quantities including the wall pressure, pressure drop, axial and radial velocity, volumetric flow rate, flow resistance and streamlines of airflow patterns are computed. The computed axial velocities for the horizontal position are agreed when compared with other experimental and numerical findings. ...
The effect of body acceleration on the generalized power law model of blood flow in a stenosed artery Ahmed Bakheet, Esam A. Alnussairy, Zuhaila Ismail, Norsarahaida Amin Aip Conference Proceedings, 2017 Unsteady blood flow characterized by the generalized power law model in a stenosed artery subject to external body acceleration is considered numerically using the Marker and Cell finite difference discretization on staggered grid, where the pressure is calculated iteratively using the successive-over-relaxation method. The codes have been developed and the results analysed using Matlab. The focus of discussion is on the effects of body acceleration on the flow characteristics, in particular its effects on the wall pressure, pressure drop and the streamlines as these results have not yet been presented and discussed in previous works.
Blood flow through an inclined stenosed artery Ahmed Bakheet, Esam A. Alnussaiyri, Zuhaila Ismail, Norsarahaida Amin Applied Mathematical Sciences, 2016 The present work is to investigate the effect of the inclination angle on blood flow through the flexible stenosed artery. The mathematical model of blood considered laminar, incompressible, unsteady and fully developed, is represented by the generalized power law model. The numerical Marker and Cell method (MAC) has been utilized to solve the continuity and momentum equations in cylindrical coordinate. The Poisson equation for the pressure has been solved using Successive-Over-Relaxation method (SOR) and the pressure–velocity correction formula has been derived. The effects of inclination angle ( ) and power law index (n) on the flow characteristics of blood such as velocity, pressure drop, and wall shear stress are presented by their representation graphs.
