气温和颗粒密度对声场中颗粒动力学影响的数值模拟
Numerical simulation of the effects of gas temperature and particle density on particle dynamics in acoustic field
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摘要: 综合考虑黏性夹带力、Basset力、虚拟质量力和压力梯度力,建立颗粒在声场中的动力学模型,利用变步长四阶RungeKutta算法和二阶隐式Adams插值算法对颗粒的受力和运动进行数值模拟。将模拟和实验得到的颗粒运动特性进行对比,验证数值模拟的正确性。在此基础上,研究气温和颗粒密度对颗粒动力学的影响规律。结果表明,黏性夹带力对颗粒运动起主导作用;气温升高,压力梯度力与黏性夹带力之间的相位差减小,Basset力、虚拟质量力与黏性夹带力之间的相位差增大。研究还发现,气温较低时,颗粒密度对颗粒运动有重要影响,夹带系数随着密度的增加而迅速下降;气温较高时,颗粒密度对颗粒运动的影响较小,颗粒位移振幅和夹带系数相对低温时明显增加。Abstract: Dynamical model of a particle in an acoustic field was established.The viscous force,Basset force,virtual mass force,and pressure gradient force were included in the force model.The forces acting on the particle and the motion of the particle were numerically simulated using a variable time-step fourth-order Runge-Kutta method combined with the second-order implicit Adams interpolation method.The motion behaviors from numerical simulation were compared with those from the experiments to validate the simulation methods.On this basis,the effects of the gas temperature and particle density on the particle dynamics were examined.The results show that the viscous force dominates the particle motion.As the gas temperature increases,the phase difference between the pressure gradient force and the viscous force decreases,while those between the Basset force as well as virtual mass force and the viscous force increase.It is also found that when the gas temperature is low,the particle density affects significantly on particle motion.In this case,as the particle density increases,the entrainment coefficient decreases rapidly.Less dependence of the particle motion on the particle density is observed when the gas temperature is higher.Both the particle displacement amplitude and the entrainment coefficient increase obviously in case of a high temperature relative to a low temperature.