Numerical simulations of miscible fluids on a rotating Hele–Shaw cell with effects of Coriolis forces

The effects of Coriolis forces to interfacial stabilities on miscible rotating Hele–Shaw flows are investigated by means of highly accurate numerical schemes. Two major influences on the interfaces, i.e. the stabilization of circumferential fingerings and the unstable body distortion of droplets, are observed. These two phenomena can be represented by two characteristic measurements, i.e. interfacial length and radius of gyration, respectively. Without an additional injection, the miscible interface is found to be more stable at higher Coriolis factors, based on both the judgments of growths in interfacial length and the radius of gyration. However, with an additional injection, a visible body distortion with suppressed interfacial fingerings at higher Coriolis factors leads to inconsistent developments in these two characteristic measurements. The stabilized effect of interfacial fingering delays and weakens the growth in interfacial length at higher Coriolis factors, while faster and greater growth in the radius of gyration is observed because of the significant body distortion. As a result, the effects of the Coriolis forces on the miscible interfacial instabilities should be addressed with great caution. Copyright © 2005 John Wiley & Sons, Ltd.     

转盘观者一定观测到科氏力吗

指出了转盘上的观者在观测一个相对于他运动的质点时，该质点是否受到科氏力只取决于该观者是否有自转而与转盘的转动（即观者的“公转”）无关．     

科里奥利力在流量测量中的应用

本文阐述了如何利用科里奥利力精确测量管道中介质的质量流量的原理和方法，并描述了利用科里奥利力的质量流量计的类型和典型结构及其发展情况．     

Signature inversion in theK=4− band in doubly-odd152Eu and156Tb nuclei: Role of theh 9/2 proton orbital

The phenomenon of signature inversion in the doubly-odd nuclei¹⁵²Eu and¹⁵⁶Tb is understood within the framework of a two-quasiparticle plus rotor model. It is shown that theh _9/2:1/2[541] proton orbital plays a crucial role in reproducing this phenomenon.     

Free-surface,purely azimuthal equatorial flows in spherical coordinates with stratification

In this paper we derive an exact solution to the governing equations for geophysical fluid dynamics in spherical coordinates which incorporates fluid stratification. This solution represents a steady, purely–azimuthal equatorial flow with an associated free-surface. Following the derivation of the solution we demonstrate that there is a well-defined relationship between the imposed pressure at the free-surface and the resulting distortion of the surface's shape. Finally, the solution for stratified fluid flow is subjected to a short-wavelength stability analysis.     

Comparison of theoretical and experimental studies of infrared and microwave spectral data for 5- and 6-membered ring heterocycles: The rotation constants, centrifugal distortion and vibration rotation constants

A systematic study of the rotation constants, vibration-rotation constants and quartic centrifugal distortion constants has been performed for furan, pyrrole, thiophene, both oxazoles and thiazoles, 1,2,4- and 1,2,5-oxa- and -thiadiazoles, 1,2,5-selenadiazole, and several 6-membered heterocycles (azines). The main study used cc-pVTZ basis sets. There is a very close correlation between the observed constants above and those calculated, especially using the cc-pVTZ + B3LYP procedures; some trends in these appear on substitution of HC by N in the azoles. This strong correlation between experimental values and this theoretical procedure is also apparent with vibrational differences in rotation constants, all over large numbers of measured values. However, a small number of calculated values do not correlate well with experiment; this may be a result of some of the experimental values being subject to resonance perturbations not included in the calculations. In general, a TZ2P basis set with B3LYP methodology, and cc-pVTZ results with MP2 methodology, lead to correlations of similar quality, but the latter require markedly more computing power. The present study draws attention to a tetrad in the IR spectrum of 1,2,5-oxadiazole, where further analysis is necessary.     

Incompressible flow in a rapidly rotating cylinder with a source/sink distribution in the lateral wall and a free inner boundary

The flow of an incompressible fluid in a rapidly rotating right circular cylinder is considered. A source/sink mass distribution at the lateral wall, which is azimuthally uniform and symmetric across the midplane, causes a deviation from wheel flow. The container is only partially full and the inner free surface is allowed to deviate slightly from the vertical. A finite-difference solution of the full axisymmetric, non-linear governing equations was used to obtain the flow field. A special implicit technique for the Coriolis terms which maintains geostrophy was developed and is described. The results obtained for a low Rossby number flow compare quite favourably with the linearized solution. Results are also presented for a case wherein the non-linear terms are important.     

Strichartz estimates for the Euler equations in the rotational framework

We consider the initial value problems of the incompressible Euler equations in the rotational framework. We obtain the optimal range of the Strichartz estimate for the linear group associated with the Coriolis forces. As an application, we prove that the lifespan of the solution can be taken arbitrarily large provided that the speed of rotation is sufficiently high.