The current research, which can be employed in various engineering applications, is involved with the investigation of the heat transfer effect on the laminar and fully developed ferrohydrodynamic flow into a curved annular cylindrical duct, when a constant very strong transverse magnetic field is applied. The numerical solution of the involved constitutive partial differential equations, i.e. the continuity, momentum, energy, magnetization and Maxwell's equations with the corresponding boundary conditions, is achieved via the computational Continuity-Vorticity-Pressure (C.V.P.) algorithmic method, using a conveniently chosen non-uniform grid. The method is implemented via an in-house code, which has been applied and validated in several ferrohydrodynamic flows. It incorporates a general theoretical model for the magnetohydrodynamic flow of micropolar magnetic fluids. The results show that the velocity distribution, the pressure drop and the temperature are significantly affected by the magnetic field strength and the volumetric concentration of the ferrofluid particles. The flow in the axial direction is redistributed in four symmetric poles, where its maximum value is readily observed. A secondary flow is generated, due to the combined effect of the buoyancy, the curvature and the magnetic field, which improves the heat transfer between the walls and the fluid. The axial pressure gradient, which is required to maintain the same mass flow, also increases as the field strength and concentration of magnetic particles increases, but with a lower rate in comparison to the increase in heat transfer.

中文翻译：

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磁场影响下弯曲圆柱形环形管道中铁磁流体流动的传热效应


目前的研究可用于各种工程应用，涉及研究当施加恒定的非常强的横向磁场时，层流和充分发展的铁水动力流进入弯曲环形圆柱形管道的传热效应。所涉及的本构偏微分方程，即具有相应边界条件的连续性、动量、能量、磁化强度和麦克斯韦方程组的数值解，是通过计算连续性-涡量-压力（CVP）算法方法实现的，使用方便选择的非- 统一的网格。该方法是通过内部代码实现的，该代码已在多个铁流体动力学流中得到应用和验证。它包含了微极性磁性流体磁流体动力流的通用理论模型。结果表明，磁场强度和铁磁流体颗粒的体积浓度对速度分布、压降和温度有显着影响。轴向方向的流动重新分布在四个对称极上，很容易观察到其最大值。由于浮力、曲率和磁场的综合作用，产生了二次流，从而改善了壁和流体之间的传热。保持相同质量流量所需的轴向压力梯度也会随着磁场强度和磁性颗粒浓度的增加而增加，但与传热的增加相比，其速率较低。