STOKES FLOW INDUCED DRAG AND TORQUE ON ASBESTOS-LIKE FIBRES CANNOT BE ESTIMATED BY A SIMPLISTIC ELLIPSOIDAL APPROXIMATION

J. Ravnik, Mitja Štrakl, J. Wedel, P. Steinmann, M. Hriberšek
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Abstract

In this paper we present an algorithm based on the Boundary Element Method for solving the Stokes flow around an arbitrarily shaped particle in multiphase flows. The objective of the algorithm is to determine the exact drag force and torque experienced by the particle during its motion in a turbulent flow field. The developed method is used to compare the predicted force and torque values on a realistic 3D model of a mineral fibre and its simplifying ellipsoidal approximation. We found that the force and torque values calculated for the real particle geometry differ greatly from the values obtained with the simplifying ellipsoidal approximation. On average, a relative error of less than 10% is achieved for only 10%–30% of the particle orientations.
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石棉样纤维上的斯托克斯流引起的阻力和扭矩不能用简单的椭球近似来估计
本文提出了一种基于边界元法求解多相流中任意形状质点周围斯托克斯流的算法。该算法的目标是确定粒子在湍流流场中运动时所经历的精确阻力和扭矩。将该方法应用于一个真实的矿物纤维三维模型及其简化椭球近似模型上的预测力和扭矩值进行了比较。我们发现实际粒子几何计算得到的力和扭矩值与简化椭球近似得到的值有很大的不同。平均而言,只有10% - 30%的粒子方向的相对误差小于10%。
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