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This paper derives integral invariants for homogeneous turbulence in a compressible viscous fluid using the conservation laws of momentum, mass, and energy and assumptions on the decay of two-point correlations at large separation. For isotropic turbulence, four nonzero invariants are identified, co…
O. D. Alimov
This paper reviews design directions for improving high-performance rotary drilling machines for blast holes in medium-hard rock, with emphasis on column-mounted electric drills used in Soviet mining and construction. It compares existing screw-differential drills with newer hydraulic-feed and long-…
O. D. Alimov, I. G. Lyapichev, Ya. A. Serov
This paper investigates rotary-percussive drilling as a means of combining the high drilling speed of rotary methods with the lower tool wear of percussive-rotary methods for medium-hard and hard rocks. The authors describe a laboratory and field testing program in Kuzbass sandstones, using a purpos…
V. I. ZUBKOV
This paper examines the evaporation of solid volatile spheres in a gas flow, addressing disagreements over whether and how strongly evaporation occurs on the rear side of a sphere. Experiments with naphthalene and camphor spheres used timed photography and weighing to track changes in shape and mass…
O. D. Alimov, V. F. Gorbunov
This paper investigates the operating process of the T-10 high-frequency pneumatic drilling hammer, a valveless design identified in comparative tests as combining high drilling speed with economical air consumption. The authors describe the hammer’s construction and air-distribution cycle, then rep…
O. D. Alimov, V. F. Gorbunov
The paper presents a methodology for experimental investigation of the working process of pneumatic drilling hammers, motivated by the lack of established theory and calculation methods for their main design parameters. It describes a laboratory installation and associated recording apparatus for si…
O. D. Alimov, I. G. Basov, P. A. Samoilov
This study examines operating modes of pneumatic drilling hammers, especially high-frequency models, under varying feed forces, air pressures, rock hardness, and drilling tools. Laboratory and field tests compared domestic and foreign hammers, including PR-20, PR-25, RH-754, T-10, PM-508, PR-35, and…
O. D. Alimov, V. F. Gorbunov
This article surveys contemporary approaches to increasing the productivity of pneumatic percussion rock drills used for blast-hole drilling in medium and hard rocks. It argues that higher drilling speeds depend chiefly on increasing blow energy and blow frequency, while noting that tool strength, f…
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This note studies Chebyshev sets, subsets of a metric space for which every point has a unique nearest point in the set, in the setting of Banach spaces. It introduces envelope constructions for subsets and proves several supporting-ball lemmas, then uses finite-dimensional approximations by planes …
N. Ya. Vilenkin
This paper studies matrix elements of irreducible unitary representations of the motion group of Lobachevsky space and their connection with generalized Fock-Mehler transforms. Using representation-theoretic integral formulas, it derives expressions for associated and zonal spherical functions in te…
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This study addresses the relationship between chemical structure and analgesic activity in diacyl derivatives of phenylhydrazine, motivated by the lower toxicity reported for dioxypyramidon relative to pyramidon. A series of compounds was synthesized, including simple methyl and phenyl substituted “…
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This paper examines the catalytic activity of semiconductor germanium in the hydrogen, deuterium isotopic exchange reaction and compares it with the activity of several transition and noble metals. Using a static circulation method, the authors measured HD formation over crushed single-crystal germa…
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This paper examines the structures of products formed when selected carbocyclic alpha-haloketones and bromopyruvic ester react with triethyl phosphite or sodium diethyl phosphite. Using transesterification behavior, reactions with 2,4-dinitrophenylhydrazine, independent synthesis, physical constants…
V. A. Bragin
This paper examines the choice between electric and steam drives for industrial working machines, especially where steam exhausted from a drive engine may be used for heating or process needs. It criticizes earlier comparison methods as overly schematic and develops a heat balance approach for the c…
A. V. KUZHEL
The paper extends Livshits’ triangular reduction theory from bounded non-self-adjoint operators to a class of closed unbounded quasi-Hermitian operators with finite rank. It defines characteristic functions for rank-one operators, proves that simple operators are unitarily equivalent exactly when th…
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The paper studies stability of solutions to Cauchy and mixed problems for linear and quasilinear hyperbolic equations, as well as first order hyperbolic systems, in unbounded and half-space domains. Using Sobolev generalized solutions, energy inequalities, integrability conditions on time-dependent …
G. M. Serykh, O. A. Ponomarev
This paper develops an analytical approximation for plane heat conduction in a thin porous body whose pores are assumed to have infinite thermal resistance, so that heat is conducted only through the solid skeleton. Using complex potentials and a superposition argument, the authors model the disturb…
A. A. GURCHENOK
This paper investigates the discharge of boiling water through thin orifices and cylindrical nozzles, addressing discrepancies between earlier adiabatic expansion theories and experimental observations. Experiments measured flow capacity, pressure distribution along nozzles, and visual flow patterns…

The study examines the kinetics of molecular chlorine electroreduction on a rotating platinum disk electrode, with attention to separating diffusion effects from the intrinsic electrode reaction. Polarization measurements at varied rotation rates, chlorine concentrations, and chloride ion concentrat…
S. A. Stroitelev
This paper proposes a physicochemical method for choosing solution additives that improve the growth of technically valuable crystals, replacing purely empirical selection. Using magnesium sulfate heptahydrate as the main example, the study compares sulfate and related additives by their effects on …
A. M. KUZMIN
This paper examines mass crystallization at multiple levels under periodic feeding intended to maintain supersaturation and continuous crystal growth. In a two month experiment, 33 alum crystals were suspended in 11 vertical columns at three horizons, weighed at six day intervals, and the solution w…
A. M. KUZMIN
This paper reports experiments on mass crystallization from rapidly cooled supersaturated solutions in order to examine whether solution stratification during crystallization is caused primarily by gravity-related density differences or by temperature and concentration currents. Solutions of several…
I. Ya. Melik-Gaikazyan, D. D. Saratovkin, A. G. Kliss
This paper examines how pectin impurities affect the habit and purity of ammonium chloride crystals grown from aqueous solution. Using arguments based on differential adsorption at crystal faces and repeated crystallization experiments, the authors compare large transparent crystals and druses grown…
A. A. VOROB'EV
This review surveys research on dielectric physics and electrical insulation carried out in Tomsk before 1957, chiefly at the Siberian Physicotechnical Institute and the Tomsk Polytechnic Institute. It summarizes experimental and theoretical work on electronic transitions, luminescence, radiation ef…
P. A. Borodovskii
This paper examines a method for generating ultrahigh frequencies by using harmonic electron oscillations in an electrostatic field with an approximately parabolic potential distribution, combined with a magnetic field that prevents electrons from striking the accelerating electrode. An approximate …
A. A. VOROB'EV, A. N. KISLINA
This paper investigates the impulse electrical strength of single crystals of alkali halide solid solutions, focusing on KCl, RbCl, KBr, NaCl, and NaBr systems with different chemical stability. Single crystals grown from melts were characterized by refractive index, molecular refraction, and X-ray …
A. A. VOROB'EV
This paper proposes using induction acceleration to generate counterpropagating electron beams for electron-electron scattering studies, emphasizing that colliding beams can provide high reaction energies with much lower laboratory particle energies than fixed-target arrangements. It outlines two be…
A. A. Vorob'ev
This paper surveys the physical basis and technological potential of using high-voltage electrical discharges to process materials and fracture solid bodies. It explains how breakdown develops in gases, liquids, and solid dielectrics, emphasizing the effects of nonuniform fields, electrode polarity,…
A. A. VOROB′EV and A. P. NAKHODNOVA
The paper examines systematic relations between electrical conductivity and crystal lattice properties in oxides and halide compounds of Group II elements. Sintered polycrystalline specimens of selected oxides, fluorides, and chlorides were measured in vacuum as a function of temperature and field s…
B. I. Vorozhtsov
This review surveys published and original data on the electrical properties of transparent fused quartz, with comparisons to crystalline quartz in order to clarify conduction mechanisms and temperature effects. It discusses volume and surface conductivity, dielectric losses, dielectric permittivity…
A. A. Vorob’ev, A. P. Nakhodnova
Dielectric losses in oxides, fluorides, and chlorides of Group II elements were investigated as functions of temperature and frequency in sintered polycrystalline specimens of differing relative density. Measurements of the loss tangent were made mainly in vacuum using a Q-meter over kilohertz frequ…
A. D. Shchelokov
This paper extends formulas for X-ray mass absorption coefficients and absorption constants from diatomic alkali halide crystals to two-component solid solutions. Measurements on KCl-KBr, KCl-RbCl, and NaCl-NaBr single crystals grown by the Kyropoulos method show that the effective linear absorption…
A. D. SHCHELOKOV
This paper reports measurements of X-ray absorption in single-crystal plates of alkali halide salts using a filtered X-ray tube beam and ionization-chamber detection. From attenuation curves for different sample thicknesses, the author determines effective linear and mass absorption coefficients and…
G. I. POTAKHOVA
This study examines how non-isomorphous impurities affect dielectric losses in alkali-halide crystals at high frequencies. NaCl and KCl crystals containing CaCl2, BaCl2, or MgCl2 were grown, chemically and structurally characterized, and measured by a resonance method over 3 x 10^5 to 10^8 cps at di…
G. I. Potakhova
This study examines high frequency dielectric losses in stable solid solutions of alkali halide crystals, chiefly NaCl to NaBr, KCl to KBr, and KCl to RbCl, with comparison to previously studied KBr to KI crystals and to the corresponding pure components. Mixed crystals grown from the melt were char…
M. D. Lavrov
This paper examines how a production KV-1 Q meter can be adapted for more reliable laboratory measurement of dielectric loss tangent and permittivity over frequency and temperature. It analyzes principal error sources, including supply instability, coarse Q indication, parallax, generator harmonics,…
K. K. Sonchik
This paper examines the feasibility of measuring the pulsed electrical conductivity of ionic crystals in high electric fields, where direct-voltage methods are affected by heating, polarization, and related secondary effects. It compares bridge compensation circuits and a simple series circuit for s…
V. A. SOKOLOV, N. A. NAZIMOVA
The paper examines weak oscillatory structure in the visible spectra attributed to the candoluminescence of magnesium oxide, comparing spectra from slowly burning magnesium, incandescent MgO excited by an illuminating gas flame, and explosive magnesium flashes. Photometric analysis shows that the fa…
V. A. Sokolov, A. N. Gorban
This paper examines whether the so-called candoluminescence of aluminum oxide under flame excitation represents true luminescence or ordinary thermal radiation. The authors compare the emission spectrum of aluminum oxide excited by an illuminating-gas flame with the spectrum produced during aluminum…
V. A. Sokolov, I. S. Grozina, A. N. Gorban
This paper examines whether the flame induced glow of calcium oxide, traditionally described as candoluminescence, represents true luminescence or ordinary thermal radiation. The authors compare emission spectra of CaO heated in an illuminating gas flame with spectra from calcium oxidation, test the…
V. A. Sokolov
This paper examines whether crystalline phosphors can be excited thermally in the phenomenon described as candoluminescence. It combines theoretical discussion of energy transfer from the crystal lattice to activator centers with spectrographic comparisons of photoluminescence and high-temperature t…
P. A. SAVINTSEV, V. E. AVERICHEVA
This paper examines whether contact melting, previously associated mainly with eutectic-forming pairs, also occurs in systems forming solid solutions. The authors heat paired crystals of alkali-halide salts and selected organic compounds while observing the contact surface and measuring the temperat…
A. N. KISLINA
This paper examines how the refractive index of alkali halide solid-solution single crystals depends on chemical composition and changes during natural aging. Using the immersion method, refractive indices were measured for several binary systems, including KCl:KBr, KBr:NaBr, KCl:RbCl, KI:KCl, KCl:N…
R. M. Kessenikh
This paper examines how dielectric losses in the former material affect the quality factor of single-layer cylindrical inductance coils at radio frequencies. It develops and tests a simplified expression relating coil quality factor to the frameless-coil quality factor, inductance, capacitance throu…
Z. I. Druzhinina, E. K. Zavadovskaya, G. V. Stebnitskaya
This paper investigates how composition and specimen preparation affect the ionic electrical conductivity of alkali halide solid solutions and mixtures, focusing on potassium chloride with rubidium chloride and potassium chloride with potassium bromide. Electrical conductivity was measured as a func…
D. D. Saratovkin, V. A. Kulikov, P. I. Kaushanskaya
This paper examines skeletal and dendritic crystal growth using stereomicroscopy and stereomicrophotography, arguing that monocular observation can misrepresent three-dimensional forms and lead to erroneous interpretation of faces, edges, and branching. Through observations of potassium iodide and a…
V. M. BELOUSOV
This paper develops a computational approach to selecting particle size distributions that minimize voids in powders before sintering, a problem previously treated mainly by empirical mixing and bulk density tests. Modeling particles as spheres, it derives radius ratios for successive fractions that…
M. S. Ivankina
This paper presents a simplified differential calorimetric method for measuring heats of formation of water soluble alkali halide solid solutions, defined from the difference between heats of dissolution of a mechanical mixture and a solid solution of the same composition. The apparatus uses two Dew…
P. A. SAVINTSEV, M. S. IVANKINA
This paper examines regularities linking the physical properties of chemical compounds to their position in the periodic system and, especially, to molecular weight. Using published thermochemical, dielectric, mechanical, optical, and electrical data for chlorides, alkali halides, group 2 oxides, an…
P. A. SAVINTSEV, M. S. IVANKINA
This paper examines the relation between heats of formation and molecular concentration in ionic crystals and their solid solutions, with emphasis on alkali halides and related compounds. After reviewing divergent theoretical and experimental values reported for several binary solid solution systems…