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Amplification of localized body forces in channel flows of viscoelastic fluids

机译:粘弹性通道流中局部体力的放大   流体

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摘要

The study of nonmodal amplification of distributed body forces in channelflows of viscoelastic fluids has provided useful insights into the mechanismsthat may govern the initial stages of transition to elastic turbulence.However, distributed body forces are not easy to implement in experiments andso there is a need to examine amplification of localized body forces. In thiswork, we use the linearized governing equations to examine such amplificationin Poiseuille flow of FENE-CR fluids. We first identify the wall-normallocation at which the impulsive excitations experience the largestamplification and then analyze the kinetic energy of the fluctuations and theresulting flow structures. For both a Newtonian fluid at high Reynolds numbersand a viscoelastic fluid at low Reynolds numbers, the largest amplificationoccurs for disturbances that are located near the channel wall. Our analysis ofthe energy evolution shows that a localized body force in the spanwisedirection has the largest impact and that the streamwise velocity component ismost affected. For viscoelastic fluids we observe the development of vorticalstructures away from the source of impulsive excitation. This feature is lessprominent in Newtonian fluids and it may provide a mechanism for triggering theinitial stages of transition to elastic turbulence.
机译:对粘弹性流体通道流中分布体力的非模态放大的研究提供了有用的见解,可用于解释过渡到弹性湍流初始阶段的机理。但是,分布体力在实验中不易实现,因此需要检查局部体力的放大。在这项工作中,我们使用线性化控制方程来检查FENE-CR流体在Poiseuille流中的这种放大。我们首先确定脉冲激励经历最大放大的壁的正态位置,然后分析波动的动能并产生流动结构。对于高雷诺数的牛顿流体和低雷诺数的粘弹性流体,最大扰动发生在位于通道壁附近的扰动。我们对能量演化的分析表明,沿翼展方向的局部体力影响最大,而沿流方向的速度分量受到的影响最大。对于粘弹性流体,我们观察到远离脉冲激发源的涡旋结构的发展。该特征在牛顿流体中不那么突出,并且可以提供一种机制来触发向弹性湍流过渡的初始阶段。

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