Theoretical Research on Effect of Heaving Condition on Flow Instability in Parallel Channels Based on Galerkin Nodal Method
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摘要: 针对矩形并联通道,基于Galerkin Nodal法建立了升潜条件下并联通道流动不稳定性分析集总参数模型,包括静止条件下并联通道流动不稳定性模型和升潜条件附加力模型,并基于此模型分析了升潜条件下并联通道流动不稳定性的影响。分析结果表明:升潜幅值对并联通道流动不稳定性影响不明显。当升潜加速度频率与系统脉动频率差别较大时,升潜加速度频率对界限功率影响不大;当升潜加速度频率与系统脉动频率相近时,会显著降低系统界限功率;当系统处于非对称工况时,升潜条件的影响将显著增强。Abstract: The lumped model of flow instability in parallel-rectangular channels under heaving condition based on Galerkin nodal method is built, in which the model of flow instability under static condition and the additional pressure drop generated by heaving condition is included and the effect of heaving condition on flow instability is analyzed theoretically in the present work. The results show that the amplitude of heaving condition has little effect on the flow instability; when the frequency of heaving condition is much larger or smaller than the system inherent frequency, the frequency has little effect on the threshold power, while when two of them are more or less the same, the threshold power will decrease. And when the system suffers asymmetric condition, the effect of heaving condition will increase significantly.
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Key words:
- Parallel channel /
- Flow instability /
- Heaving condition
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