Wave Mixing in a System of Mobile Coaxial Cylinders

Doklady Physics - Computer simulation of mixing in a system of mobile coaxial cylinders has been performed. Detailed spatial and temporal patterns of the processes occurring are obtained, and the...     

Madelung energy of the donor-acceptor crystal (BEDT-TTF)2I3

Using the Ewald method for different degrees of ionic character, we have calculated the Madelung energy of the Β phase of the donor-acceptor molecular crystal (BEDT-TTF)₂I₃ for pressures 1 bar and 9.5 kbar.     

Stabilization of small perturbations of Poiseuille flow in a channel with elastic walls

Arbitrary three-dimensional perturbations are considered. It is established that as the compliance of the walls increases, oblique waves become the most dangerous, which essentially differentiates the system in question from Poiseuille flow in a rigid channel. The flow stability is analyzed over a broad interval of values of the elasticity parameter overlapping the values for real materials.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 67–72, May–June, 1988.     

Stability of plane flows with permeable boundaries

A passive method of flow stability control is proposed. Control is achieved exclusively by varying the boundary conditions for the disturbance on the permeable wall. This passive method is shown to be quite effective for the boundary layer on a flat plate and for Poiseuille flow. In both cases, depending on the structure of the permeable wall, both stabilization and significant destabilization of the flow are possible.Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No.5, pp. 60–68, September–October, 1992.     

Study of the polymorphic hexagonal-face-centered-cubic transformation in Cu2S

The results of a dynamic high-temperature x-ray diffraction investigation into the special characteristics of the hexagonal-fcc polymorphic transformation in Cu₂S are presented. Close to the phase-transformation temperature, two groups of superstructural reflections appear on the x-ray diffraction patterns, some of these being indexed in the 12H hexagonal lattice (Ramsdel) and others in the 14H lattice. The mechanism of the hexagonal — fcc phase transition in Cu₂S is considered as passing through the intermediate 12H and 14H polytypic structures by way of the successive accumulation of periodically disposed stacking faults. The effect of thermal cycling within the phase-transformation temperature range on the course of the actual transformation is verified.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 100–103, May, 1976.     

Wave dispersion of a gas in a liquid

A novel method of dispersing a gas in a liquid by pressure pulses generated by waves propagating from a hydrodynamic oscillation generator is proposed. Devices that realize this method, wave dispersers, are created and investigated experimentally. The amplitude-frequency characteristics of the wave processes in the dispersers and the size distribution density functions of the gas bubbles are obtained. It is shown that there are optimal pressure values at the disperser inlet at which a minimum bubble size is achieved. The average diameter of the gas bubbles produced by water wave dispersers in the optimal operation regimes varied on the range from 0.3 to 0.6 mm, depending on the gas flow-rate.     

Motion of a gas inclusion in a capillary under the action of vibration

The motion of gas inclusions in a liquid-filled duct under the action of vibration for comparable cross-sectional dimensions of the inclusion and the duct is studied. Two limiting cases of inclusion motion differing with respect to the drag mechanism are considered. For low velocities, it is assumed that the drag is mainly determined by the capillary forces and the friction in the liquid film separating the gas inclusion from the duct wall. As the inclusion velocity increases, the main contribution to the drag is made by such mechanisms as flow separation, the formation of a low-pressure region in the wake, etc. It is demonstrated that due to the vibration a gas inclusion traveling in a capillary under the action of steady forces is halted at certain points of the capillary. The capillary behaves like a filter, impermeable for inclusions smaller than a certain threshold size. Moscow. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 3, pp. 85–92, May–June, 1998. The work received financial support from the Russian Foundation for Basic Research (project No.96-01-01813).     

Linear stability of viscous incompressible flow in a circular viscoelastic tube

Flow stability in rigid tubes has been the subject of much research [1]. The overwhelming majority of authors of both theoretical and experimental studies now conclude that Poiseuille flow in a circular rigid tube is linearly stable. However, real tubes all possess elastic properties, the influence of which has not been investigated in such detail. For certain selected values of the parameters characterizing an elastic tube it has been shown that with respect to infinitesimal axisymmetric perturbations Poiseuille flow in the tube can be unstable [2]. In this case boundary conditions that did not take into account the fairly large velocity gradient of the undisturbed flow near the tube wall were used. The present paper reports the results of a numerical investigation of the linear stability of Poiseuille flow in a circular elastic tube with respect to three-dimensional perturbations in the form of traveling waves propagated along the system (azimuthal perturbation modes with numbers 0, 1, 2, 3, 4, and 5 are considered). It is shown that the elastic properties of the tube can have an important influence on the linear stability spectrum. In the case of axisymmetric perturbations it is possible to detect an instability which, at Reynolds numbers of more than 200, exists only for tubes whose modulus of elasticity is substantially less than that of materials in common use. The instability to perturbations of the second azimuthal mode is different in character, inasmuch as at Reynolds numbers greater than unity it occurs in stiffer tubes. Moreover, as the Reynolds number increases it can also occur in tubes of greater stiffness. Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 126–134, November–December, 1986.