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从描述聚能射流失稳的一维近似方程出发,导出了聚能射流断裂时间的近似公式。这个近似公式定量显示了屈服应力、本构关系、粘度和径向收缩效应等对射流断裂时间的影响,在4个不同的特殊近似下,可以自然演化为近10年来所发表的几个半经验解析公式,并且在合理的参数范围内,公式给出的断裂时间曲线覆盖了射流断裂时间的全部实验点。
Based on the one-dimensional approximate equation describing the instability of converging jets, an approximate formula for the breaking time of converging jets is derived. This approximate formula quantitatively shows the effects of yield stress, constitutive relation, viscosity and radial shrinkage on jet breakup time. Under four different special approximations, it can naturally evolve into several semi-experiences published in the past 10 years Analytical formula, and within a reasonable range of parameters, the formula given by the fracture time curve covers all the experimental points of jet fracture time.