中文摘要：

采用了基于唯象相变理论的非凸本构关系,对圆管中磁流变流体的层流运动进行了分析。所采用的本构关系能模拟磁流变流体特有的剪切力-应变率关系中的滞回特性。通过分析,建立了圆管层流的流速分布函数,同时对圆管层流的流量进行了计算,给出了固定磁场强度时的压力-流量特性曲线。对分别采用的非凸本构模型和宾汉本构模型的流速和流量公式用数值分析的方法进行了比较,验证了非凸本构模型的优点。

英文摘要：

In the current paper,the laminar flow of magnetorheological fluids（MRF） in circular pipes was analyzed based on a non-convex constitutive model.The constitutive model is capable of modelling the unique hysteretic property of the MR fluids.The flow velocity distribution is derived,and the volumetric flow rate is calculated.The pressure-flow characteristics curve of the MRF flow is obtained.The comparisons of numerical results between the non-convex constitutive model and the Bingham model are presented.It is shown that the non-convex model outperformance the Bingham model.