Hoque Mohammad M, Alam Mohammad M, Ferdows Mohammad, Bég Osman A
Mathematics Discipline, Khulna University, Khulna, Bangladesh.
Proc Inst Mech Eng H. 2013 Nov;227(11):1155-70. doi: 10.1177/0954411913493844. Epub 2013 Jul 30.
A numerical study is performed to investigate the magnetohydrodynamic viscous steady biofluid flow through a curved pipe with circular cross section under various conditions. A spectral method is applied as the principal tool for the numerical simulation with Fourier series, Chebyshev polynomials, collocation methods and an iteration method as secondary tools. The combined effects of Dean number, Dn , magnetic parameter, Mg , and tube curvature, δ, are studied. The flow patterns have been shown graphically for large Dean numbers as well as magnetic parameter and a wide range of curvatures, 0.01 ≤δ≤ 0.2. Two-vortex solutions have been found. Axial velocity has been found to increase with an increase of Dean number, whereas it is suppressed with greater curvature and magnetic parameters. For high magnetic parameter and Dean number and low curvature, almost all the fluid vortex strengths are weak. The study is relevant to magnetohydrodynamic blood flow in the cardiovascular system.
进行了一项数值研究，以研究在各种条件下磁流体动力学粘性稳定生物流体通过具有圆形横截面的弯曲管道的流动。采用谱方法作为数值模拟的主要工具，傅里叶级数、切比雪夫多项式、配置法和迭代法作为辅助工具。研究了迪恩数（Dn）、磁参数（Mg）和管道曲率（δ）的综合影响。对于大迪恩数、磁参数以及0.01≤δ≤0.2的广泛曲率范围，已以图形方式展示了流动模式。发现了双涡旋解。已发现轴向速度随迪恩数的增加而增加，而随着曲率和磁参数的增大而受到抑制。对于高磁参数、迪恩数和低曲率，几乎所有流体涡旋强度都较弱。该研究与心血管系统中的磁流体动力学血流相关。
