The energy balance in modulated plane Poiseuille flow
The energy balance in modulated plane Poiseuille flow
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DOI：
10.1017/s0022112072002186
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发表时间：
1972-11
影响因子：
3.7
通讯作者：
D. M. Herbert
中科院分区：
文献类型：
--
作者：
D. M. Herbert
考虑压力梯度除具有恒定分量外，还具有小振幅时间周期分量的平面泊泽维尔流。边界附近的速度场是由小幅度的高频扰动引起的，在调制幅值上计算为二阶。然后将扰动的能量传递积分计算到同一阶。研究发现，如果扰动横波的厚度相对于调制横波的厚度大于1 / 2，则调制抑制了能量向扰动的传递，从而稳定了流动。
Plane Poiseuille flow in which the pressure gradient has a small amplitude time-periodic component in addition to a constant component is considered. The velocity field close to the boundaries, arising from a small amplitude high frequency disturbance to the flow, is calculated to second order in the modulation amplitude. The energy-transfer integral for the disturbance is then calculated to the same order. It is found that, if the thickness of the disturbance shear wave relative to that of the modulation shear wave is greater than ½, the modulation inhibits energy transfer into the disturbance and so stabilizes the flow.