摘要
研究了圆柱体、球体在射流柱中悬浮的现象,使用N-S方程、边界层理论等,对圆柱体侧面绕流建立模型,用数值计算的方法求解水流绕流和空气绕流的速度场,求解压强梯度力和黏滞力矩,建立平衡方程求解出物体的稳定悬浮高度和稳态转动速度.结果表明:物体的悬浮高度和稳态转动速度均与圆柱体直径近似呈二次函数关系.通过控制变量法,探究悬浮物体的稳定性,发现其受到物体厚度、直径、形状多个因素的影响.
The phenomenon of the floating of cylinder and sphere in jet column was studied.Using the Navier-Stokes equations,the boundary layer theory,etc.,the flow around cylinder profile was modeled and the velocity field of the water and air flow,the pressure gradient force,the viscous torque and so on were calculated numerically.A balance equation was established to solve the stability of the steady suspension height and rotational speed.The results showed that the steady suspension height and rotation velocity of the object were approximately quadratic functions of the cylinder diameter.Through the control variable method,the stability of the suspended object was explored and found that it was affected by the thickness,the diameter,and the shape of the object.
作者
刘铠铭
周亚杰
赵述敏
王红理
LIU Kai-ming;ZHOU Ya-jie;ZHAO Shu-min;WANG Hong-li(School of Physics,Xi'an Jiaotong University,Xi'an 710049,China)
出处
《物理实验》
2021年第3期46-53,58,共9页
Physics Experimentation
关键词
轻质物体
自由射流柱
悬浮高度
稳态转动速度
稳定性
light object
free jet column
suspension height
steady state rotational velocity
stability
