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Numerical simulation of the evolution of non-axisymmetric disturbances in cylindrical laminar pipe flow

机译:圆柱形层管流动非轴对称扰动演化的数值模拟

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Since the well-known experiments of Reynolds in 1883 on transition of laminar to turbulent flow in a cylindrical pipe this problem has been studied without success. The main reason for this failure is the fact that laminar pipe flow is found to be stable for infinitesimal perturbations. Therefore transition can only follow from finite perturbations. This requires a nonlinear theory which at the moment is not available.In an experiment described in [1] the transition process has been considered for cylindrical laminar pipe flow subjected to a non-axisymmetric, divergence-free disturbance. In the present investigation we aim to simulate this transition experimentnumerically with the objective to study the initial development of an imposed disturbance. This may shed some light on the mechanism which plays a role in the process of transition.
机译:由于1883年雷诺的众所周知的雷诺实验在圆柱形管道中的层流到湍流流动的情况下,已经研究了这种问题而没有成功。这种失败的主要原因是发现层流管流是无限扰动的稳定性。因此,过渡只能从有限的扰动中遵循。这需要目前不可用的非线性理论。在[1]中描述的实验中,已经考虑了经受非轴对称的非轴对称性的圆柱形层管流动的过渡过程。在目前的调查中,我们的目标是在实验下模拟这一转变,目的是研究初始开发强加的扰动。这可能会在过渡过程中发挥作用的机制来阐明一些光。

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