numerical study of the flow of Bingham-like fluids in two-dimensional vane nd cylinder rheometers using a smoothed particle hydrodynamics SPH ) based method
numerical study of the flow of Bingham-like fluids in two-dimensional vane nd cylinder rheometers using a smoothed particle hydrodynamics SPH ) based method
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发表时间：
2010
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通讯作者：
uaning Zhua;N. S. Martysa;Chiara Ferrarisa;Daniel De Keeb
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作者：
uaning Zhua;N. S. Martysa;Chiara Ferrarisa;Daniel De Keeb
在本文中，拉格朗日制定的Navier-Stokes方程，平滑粒子流体动力学（SPH）的方法的基础上，被施加到如何以及流变参数，如塑性粘度可以确定从叶片流变仪测量。首先，为了验证这种方法，Bingham/Papanastasiou本构模型被实施到SPH模型和测试比较模拟结果以及建立的理论预测进行。然后对叶片式和同轴圆筒式流变仪中的流体流动进行了数值模拟。通过与流变仪光滑粒子流体动力学（SPH）的实验数据比较，验证了SPH方法在实际流动几何中的应用。最后，结果从宾汉流体的流动的参数研究不同的屈服应力下的叶片和同轴圆筒流变仪的外圆柱壁的各种应用的角速度。计算了应力、应变率和速度分布，特别是在叶片附近。通过比较两种流变仪的应力场和流场计算结果，验证了叶片近似为圆柱体的假设对测量剪切流变性能的有效性。
In this paper, a Lagrangian formulation of the Navier–Stokes equations, based on the smoothed particle hydrodynamics (SPH) approach, was applied to determine how well rheological parameters such as plastic viscosity can be determined from vane rheometer measurements. First, to validate this approach, a Bingham/Papanastasiou constitutive model was implemented into the SPH model and tests comparing simulation results to well established theoretical predictions were conducted. Numerical simulations for the flow of fluids in vane and coaxial cylinder rheometers were then performed. A comparison to ane rheometer moothed particle hydrodynamics (SPH) ingham fluid on-Newtonian fluid apanastasiou model experimental data was also made to verify the application of the SPH method in realistic flow geometries. Finally, results are presented from a parametric study of the flow of Bingham fluids with different yield stresses under various applied angular velocities of the outer cylindrical wall in the vane and coaxial cylinder rheometers. The stress, strain rate and velocity profiles, especially in the vicinity of the vane blades, were computed. By comparing the calculated stress and flow fields between the two rheometers, the validity of the assumption that the vane could be approximated as a cylinder for measuring the Bingh rheological properties of