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将粘弹性Maxwell流体本构方程和圆管层流运动基本方程相结合 ,利用数学解析方法研究了周期性压力梯度推动下脉动层流的流动规律 ,并得到粘弹性流体在圆管内周期性流动的速度表达式 ,按两种情形分析了粘弹性Maxwell流体脉动层流速度振幅分布状况。研究结果表明 ,Maxwell流体在 0～ 2π的周期内呈振荡流动。当ωt =0时 ,其速度振幅随频率和松弛时间的增大而减小。
The constitutive equation of viscoelastic Maxwell fluid and the basic equations of laminar flow motion are combined. The law of the flow of pulsating laminar flow driven by periodic pressure gradient is studied by means of mathematical analysis, and the viscoelastic fluid is periodically flown inside the circular pipe Velocity expression, the amplitude distribution of pulsating laminar flow in viscoelastic Maxwell fluid is analyzed in two cases. The results show that the Maxwell fluid oscillates oscillatingly in the period of 0 ~ 2π. When ωt = 0, its velocity amplitude decreases with increasing frequency and relaxation time.