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首页> 外文期刊>Journal of Physics, D. Applied Physics: A Europhysics Journal >Nonlinear stability analysis of thin micropolar film flows travelling down a vertical moving plate
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Nonlinear stability analysis of thin micropolar film flows travelling down a vertical moving plate

机译：沿垂直移动板传播的微极性薄膜流动的非线性稳定性分析

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摘要

This paper employs linear and nonlinear stability theories to conduct a numerical characterization of thin micropolar film flows travelling down a vertical moving plate. Having applied the long-wave perturbation method to derive the generalized kinematic equations for a free film surface condition, the multiple scales method is used to solve the micropolar film flow in the cases of a stationary vertical plate.. a vertical plate moving in the downward direction and a vertical plate moving in the upward direction. The numerical results indicate that both subcritical instability and supercritical stability conditions may occur in the micropolar film flow system. No obvious change in the supercritical stability condition is observed when the plate moves vertically in the upward or downward direction. The numerical results indicate that a downward motion of the vertical plate tends to enhance the stability of the film flow.
机译：本文采用线性和非线性稳定性理论对沿垂直移动板传播的微极性薄膜流进行数值表征。应用长波摄动法导出自由膜表面条件的广义运动学方程后，在垂直板静止的情况下，采用多尺度方法求解微极性膜的流动。方向和垂直板沿向上方向移动。数值结果表明，在微极性膜流系统中可能同时发生亚临界不稳定性和超临界稳定性条件。当板垂直向上或向下移动时，没有观察到超临界稳定性条件的明显变化。数值结果表明，垂直板的向下运动倾向于增强膜流的稳定性。

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