Shock wave in a gas-liquid medium

The propagation of weak shock waves and the conditions for their existence in a gas-liquid medium are studied in [1]. The article [2] is devoted to an examination of powerful shock waves in liquids containing gas bubbles. The possibility of the existence in such a medium of a shock wave having an oscillatory pressure profile at the front is demonstrated in [3] based on the general results of nonlinear wave dynamics. It is shown in [4, 5] that a shock wave in a gas-liquid mixture actually has a profile having an oscillating pressure. The drawback of [3–5] is the necessity of postulating the existence of the shock waves. This is connected with the absence of a direct calculation of the dissipative effects in the fundamental equations. The present article is devoted to the theoretical and experimental study of the structure of a shock wave in a gas-liquid medium. It is shown, within the framework of a homogeneous biphasic model, that the structure of the shock wave can be studied on the basis of the Burgers-Korteweg-de Vries equation. The results of piezoelectric measurements of the pressure profile along the shock wave front agree qualitatively with the theoretical representations of the structure of the shock wave.Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 3, pp. 65–69, May–June, 1973.     

Effect of compressibility and nonisothermicity on the efficiency of film cooling in a turbulent boundary layer

Most studies of film cooling deal with the analysis of the thermal shielding efficiency in an incompressible gas flow with constant physical properties. In practice, however, film cooling is used for machine elements exposed to high-speed, high-temperature gas flows. These conditions have received relatively little attention [1–3]. In this paper the influence of these factors on thermal shielding efficiency is analyzed by the method proposed in [4]. It is shown that the effect of compressibility and nonisothermicity on the thermal shielding efficiency is not very great.     

Envelopes and inequalities in vector lattices

The aim of this paper is to obtain a version of continuous functional calculus and some new envelope representation results in vector lattices as well as to indicate some applications.     

SO3-mediated addition of N-chlorourethanes to the C=C bond

Translated from Izvestiya Akademii Nauk SSSR, Seriya Khimicheskaya, No. 12, pp. 2871–2872, December, 1989.     

Experimental investigations into the passage of light through a turbulent fluid

Causes for the divergence of theoretic estimates and observable effects on the attenuation of a laser beam in a pure turbulent fluid obtained using a complex of devices at the Institute of Theoretical Physics, Siberian Division, Academy of Sciences of the USSR, are analyzed.     

Supremal generators and the convergence of nonexpanding operators

We establish the necessary and sufficient criteria for elements on which sequences of nonexpanding operators converge when they converge in a given subspace.Translated from Matematicheskie Zametki, Vol. 13, No. 1, pp. 55–65, January, 1973.