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Rayleigh–Taylor instability(RTI) of three incompressible fluids with two interfaces in spherical geometry is derived analytically. The growth rate on the two interfaces and the perturbation feedthrough coefficients between two spherical interfaces are derived. For low-mode perturbation, the feedthrough effect from outer interface to inner interface is much more severe than the corresponding planar case, while the feedback from inner interface to the outer interface is smaller than that in planar geometry. The low-mode perturbations lead to the pronounced RTI growth on the inner interface of a spherical shell that are larger than the cylindrical and planar results. It is the low-mode perturbation that results in the difference between the RTI growth in spherical and cylindrical geometry. When the mode number of the perturbation is large enough, the results in cylindrical geometry are recovered. 相似文献
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水对岩石具有软化、溶蚀等作用,准确预测岩石的含水量对岩土工程的地下深部开采至关重要。该文将中红外光谱技术应用于砂岩的含水量分析,研究了不同砂岩样品的中红外光谱特征与其含水量之间的关系。通过多种预处理方法提取有效特征向量,构建了针对砂岩含水量的中红外光谱预测模型。结果表明,多元散射校正+偏最小二乘法、归一化特征向量提取+随机森林及一阶微分+支持向量机3种模型在测试集上预测的含水量与实测值之间的相关系数(R2)分别为0.985、0.995和0.951,均方根误差分别为0.074、0.022和0.137,即特征向量提取+随机森林的预测模型效果最佳。该方法通过中红外光谱技术实现了砂岩含水量的无损、快速分析,为地质工程中砂岩的水分预测提供了参考。 相似文献
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This paper investigates the interaction of a small number of modes in the two-fluid Kelvin-Helmholtz instability at the nonlinear regime by using a two-dimensional hydrodynamic code. This interaction is found to be relatively long range in wave-number space and also it acts in both directions, i.e. short wavelengths affect long wavelengths and vice versa. There is no simple equivalent transformation from a band of similar modes to one mode representing their effective amplitude. Three distinct stages of interaction have been identified. 相似文献
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Zhong-Yuan Zhu 《中国物理 B》2022,31(10):105202-105202
This work builds an isobaric steady-state fluid analytical-physical model of the plasma conduction region in a conical target. The hydrodynamic instability in the double-cone ignition scheme[21] for inertial confinement fusion (ICF) proposed by Zhang is studied with the built model. With this idealized model, the relevant parameters, such as density, temperature, and length of the plasma in the conduction region of the conical target under long-pulse conditions are given. The solution of the proposed analytical model dovetails with the trend of the numerical simulation. The model and results in this paper are beneficial for discussing how to attenuate Rayleigh—Taylor instability in ICF processes with conical and spherical targets. 相似文献
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