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Two-fluid modeling of three-dimensional cylindrical gas-solid fluidized beds using the kinetic theory of granular flow

机译:基于颗粒流动力学理论的三维圆柱气固流化床双流模型

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摘要

A highly efficient numerical scheme has been incorporated to solve a traditional two-fluid model for dense gas-solid flow in large scale fluidized beds. Difficulties associated with the numerical solution and boundary condition enforcement especially in the azimuthally direction and at the axis of the cylindrical domain are discussed in detail. Higher order discretization schemes with deferred correction approach have been implemented for the convection terms. The p- ε algorithm (Van der Hoef et al., 2006) has been implemented to deal with densely packed regions in the fluidized bed. A modified SIMPLE algorithm is used to solve the pressure and volume fraction corrections, and a projection method is used to obtain solutions of the momentum equations. The resulting semi-implicit method allows for using larger time steps and produces accurate results in a stable and efficient manner. Numerical tests on bubbling fluidized beds are undertaken and compared with experimental data reported by Laverman et al., 2012. The simulation results are found to be in good agreement. In addition a comparative study has been performed quantifying the effects of grid size, flux limiters, frictional model and coefficient of restitution.
机译:高效的数值方案已被纳入解决大型流化床中浓密的气固两相流的传统两流体模型。详细讨论了与数值解和边界条件执行相关的困难,特别是在方位角方向和圆柱域的轴上。对流项已实现了采用延迟校正方法的高阶离散化方案。已采用p-ε算法(Van der Hoef等,2006)来处理流化床中的密集区域。改进的SIMPLE算法用于求解压力和体积分数校正,投影方法用于获取动量方程的解。所得的半隐式方法允许使用较大的时间步长,并以稳定有效的方式产生准确的结果。对鼓泡流化床进行了数值测试,并将其与Laverman等人(2012年)报道的实验数据进行了比较,发现模拟结果吻合良好。此外,已经进行了一项比较研究,量化了网格尺寸,通量限制器,摩擦模型和恢复系数的影响。

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