Zaman Akbar, Ali Nasir, Anwar Bég O
Department of Mathematics and Statistics, International Islamic University, Islamabad, 44000, Pakistan.
Gort - Medical/Aerospace Engineering Sciences, Southmere Avenue, Great Horton, Bradford, BD7 3NU, England, UK.
Med Biol Eng Comput. 2016 Sep;54(9):1423-36. doi: 10.1007/s11517-015-1415-3. Epub 2015 Nov 5.
The unsteady flow characteristics of blood are analyzed through a catheterized stenotic artery with post-stenotic dilatation. A rigid tube with a pair of abnormal wall segments in close proximity to each other is employed to geometrically simulate the diseased artery. A micropolar fluid model is used to capture the rheological characteristics of the streaming blood in the annulus. The mild stenosis approximation is employed to derive the governing flow equation which is then solved using a robust finite difference method. Particular attention is paid to the effects of geometrical parameters of the arterial wall and rheological parameters of the blood on axial velocity, flow rate, resistance impedance and wall shear stress. The global behavior of blood is also analyzed through instantaneous pattern of streamlines.
通过带有狭窄后扩张的插管狭窄动脉来分析血液的非定常流动特性。采用一根带有一对彼此紧邻的异常壁段的刚性管,从几何形状上模拟患病动脉。使用微极流体模型来捕捉环形空间内流动血液的流变特性。采用轻度狭窄近似来推导控制流动方程,然后使用稳健的有限差分法求解该方程。特别关注动脉壁几何参数和血液流变参数对轴向速度、流量、阻力阻抗和壁面剪应力的影响。还通过流线的瞬时模式来分析血液的整体行为。