In the present paper we study numerically the Biomagnetic Fluid Flow (BFD) (blood) and heat transfer through a stretching cylinder. The physical problem is formulated by a BFD model which incorporates both principles of FerroHydroDynamics (FHD) and MagnetoHydroDynamics (MHD). Thus, blood is considered to be an electrically conducting fluid which simultaneously exhibits polarization. The governing equations are non‐dimensionalized using suitable similarity transformations and the resulting coupled non linear system of ordinary differential equations are solved using an efficient numerical technique which is based on a common finite differences method with central differencing, a tridiagonal matrix manipulation and an iterative procedure. Comparisons of our results with existed studies are made for some limiting case of the present study and found to be in a good agreement. The results are presented graphically for different values of the parameters with emphasis to the examination of FHD and MHD effect on the flow field as well as other physical quantities of interest, like skin friction coefficient and heat transfer on the wall.

中文翻译：

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磁偶极子存在下通过拉伸缸的血流和传热的数值研究

在本文中，我们对生物磁流体流（BFD）（血液）和通过拉伸缸的传热进行了数值研究。物理问题由BFD模型提出，该模型结合了FerroHydroDynamics（FHD）和MagnetoHydroDynamics（MHD）的原理。因此，血液被认为是同时显示出极化的导电流体。使用适当的相似变换对控制方程进行无量纲化，并使用有效的数值技术（基于具有中心微分的常见有限差分方法，三对角矩阵操纵和迭代程序）对所得的常微分方程耦合非线性系统进行求解。 。我们的结果与现有研究的比较是在本研究的一些局限性情况下进行的，并且发现有很好的一致性。结果以图形方式显示了不同参数值，重点检查了FHD和MHD对流场以及其他感兴趣的物理量（如皮肤摩擦系数和壁上的热传递）的影响。