Square exponent of irrationality of ln2

A new proof of the theorem on the non-quadraticity measure ln 2 is given in the paper.     

Estimating the plastic strain with the use of acoustic anisotropy

Experimental verification is used to show that reference specimens and structure unloading do not permit obtaining an adequate estimate of plastic strain by measuring the acoustic anisotropy. Analytic estimates of the speed of propagation of a plane acoustic wave of various polarizations in an elastoplastic material in the direction orthogonal to the action of preliminary uniaxial stress are obtained. An analysis of the obtained relations reveala an advantage of using absolute values of the velocity of longitudinal and transverse waves for the plastic strain identification. In contrast to acoustic anisotropy, the velocities vary monotonically in a wider range of plastic strains. At the same time, the elastic strain does not affect the longitude wave velocity, which allows one to use the measurement results to estimate the character of strains.     

Basic mechanisms of electrification of weakly conductive multicomponent media

Four different physical mechanisms of electrification (generation of an uncompensated electric space charge) in electrohydrodynamic flows of weakly conductive multicomponent mixtures of liquids and gases are analyzed.     

Thermocyclic testing of heat-resistant coatings at megawatt three-phase plasmatron

Some new types of heat-resistant coatings developed at present were tested for thermal fluxes and temperatures implemented in flame channels of modern rocket engines. The megawatt three-phase alternatingcurrent plasmatron was used for testing. The thermal flux distributions were measured for uncooled targets using thermocouples and thermal imaging tools. Coated samples were installed to the model cooled by water under high pressure. The mechanical strength of coatings at thermocyclic testing was studied and heat conduction of heat-resistant layers was determined in operation conditions.     

Nongeneric polarization singularities in combined vortex beams

Nongeneric polarization structures of singular beams formed as a coherent coaxial mixture of weighted orthogonally polarized single-charged Laguerre-Gauss modes with different radial indices are analyzed. A general solution for the superposition of elliptically orthogonally polarized partial vortex beams is obtained; the limiting special cases in which the mixed modes are linearly or circularly polarized are investigated. It is established that unusual spatially stable polarization structures such as closed C contours and L contours with a fixed azimuth of linear polarization arise in such combined beams. The results are experimentally confirmed by using a new diffraction method for testing phase singularities in optical beams.     

Interaction of a supersonic flow with a transverse jet injected through a circular aperture in a plate

A flow pattern created by the interaction of a supersonic flow with a transverse sonic or supersonic jet injected normally to the direction of the main flow through a circular aperture in a plate is considered. The pressure rises in front of the jet owing to the retarding action of the incident flow. The boundary layer building up on the wall in front of the injection nozzle is accordingly detached. The flow pattern in the region of interaction between the jet and the external flow is illustrated in Fig. 1. The three-dimensional zone of detachment thus formed deflects the incident flow from the wall, and in front of the jet a complicated system of sharp jumps in contraction develops. A three-dimensional system of jumps also develops in the jet itself.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No, 5, pp. 193–197, September–October, 1970.