论文标题
改进的一维纤细喷气机模型
An Improved Self-Consistent One-Dimensional Slender Jet Model
论文作者
论文摘要
1994年，埃格斯（Eggers）和杜邦（Dupont）提出了细长的射流模型，这是一个一维模型，描述了具有自由表面的粘性，不可压缩流体的薄轴对称柱的运动。在他们的模型中，动量方程是以并非完全自吻的方式得出的。因此，与表面张力项相比，粘度项的准确性较小。在本文中，我们以完全自吻的方式得出了一种新型细长的喷气动量方程，使我们能够以与Eggers-Dupont模型中的表面张力项相同的精度来描述粘度和表面张力力。我们的推导不影响体积保护方程，该方程与Eggers-Dupont模型中的衍生方程保持相同。我们表明，与Eggers-Dupont的模型相比，我们的模型可以预测不同的高原射线不稳定性动力学。在小雷诺数字上，模型之间的差异特别大，粘度在发育中发挥着重要作用。
In 1994, Eggers and Dupont suggested the slender jet model, a one-dimensional model that describes the motion of a thin axisymmetric column of viscous, incompressible fluid with a free surface. In their model, the momentum equation was derived in a manner that was not completely self-consistent. Consequently, the viscosity term was described with less accuracy than the surface tension term. In this paper, we derive a novel slender jet momentum equation in completely self-consistent manner that allows us to describe both the viscosity and the surface tension forces with the same accuracy as the surface tension term in the Eggers-Dupont model. Our derivation does not affect the volume conservation equation, which remains identical to the one in the Eggers-Dupont model. We show that our model predicts different Plateau-Rayleigh instability dynamics as compared to the Eggers-Dupont's model. The differences between the models are particularly large at small Reynolds numbers, where the viscosity plays a prominent role in development the Plateau-Rayleigh instability.
