基于表面波线性不稳定性理论建立了荷电液体射流色散方程并进行数值计算,应用高速摄影技术测量荷电液体射流破碎长度,对理论分析结果进行实验验证。在讨论的射流速度、荷电电压范围内,随着射流速度或荷电电压的增加,0阶、1阶表面波最大增长率不断提高,但0阶表面波最大增长率始终大于1阶表面波,主导射流破碎过程;提高射流速度,射流破碎长度先增加至一个极值之后逐渐减小,荷电电压总是促进射流破碎,减小射流破碎长度;提高液体电导率,射流破碎长度增大。实验结果表明,线性不稳定性理论能很好地解释射流速度、荷电电压和液体电导率对射流破碎长度的影响,但在预测射流破碎长度极值对应的临界射流速度时存在一定的偏差。
Based on the linear instability theory,the dispersion equation of charged liquid jet was obtained.The charged liquid jet breakup length was measured by applying the high-speed photography technology to verify the theoretical results.The results of numerical calculation indicated that the growth rate of 0-order and 1-order surface wave grows with increasing of jet velocity and charged voltage.The maximum growth rate of 0-order surface wave was bigger than that of 1-order surface wave in the discussed range of jet velocity and charge voltage.The jet breakup length increased to maximum value and then decreased with increasing of jet velocity.Charge voltage always promoted the jet breakup and makes jet breakup length shorter.Higher liquid conductivity made jet breakup length longer.The experimental results showed that theoretical analysis gave a reasonable explanation to the influence of charge voltage,jet velocity and liquid conductivity on jet breakup length,but fails to be a good predictor of critical jet velocity corresponding to the maximum of jet breakup length.