Light-induced drift of a one-component gas in a flat channel

Ekaterinburg. Translated from Prikladaya Mekhanika i Tekhnicheskaya Fizika, No. 5, pp. 3–13, September–October, 1994.     

Thermal explosion of a rising flow of liquid in a ring channel

B?sk. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, No. 4, pp. 12–22, July–August, 1994.     

Motion of a sphere in a vibrating liquid in the presence of a wall

A solution is obtained for the problem of the motion of a sphere in an ideal liquid bounded from outside by a wall which performs specified vibrations far from the sphere. Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences. Novosibirsk 630090, Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 40, No. 4, pp. 125–132, July–August. 1999.     

Friction and mass transfer in transverse flow around a cylinder in a granular bed and a narrow slot

Novosibirsk. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, No. 1, pp. 112–121, January–Feburary, 1995.     

Topological Invariants in a Model of a Time-Delayed Chua's Circuit

In the last 30 years, some authors have been studying several classes of boundary value problems (BVP) for partial differential equations (PDE) using the method of reduction to obtain a difference equation with continuous argument which behavior is determined by the iteration of a one-dimensional (1D) map (see, for example, Romanenko, E. Yu. and Sharkovsky, A. N., International Journal of Bifurcation and Chaos 9(7), 1999, 1285–1306; Sharkovsky, A. N., International Journal of Bifurcation and Chaos 5(5), 1995, 1419–1425; Sharkovsky, A. N., Analysis Mathematica Sil 13, 1999, 243–255; Sharkovsky, A. N., in “New Progress in Difference Equations”, Proceedings of the ICDEA'2001, Taylor and Francis, 2003, pp. 3–22; Sharkovsky, A. N., Deregel, Ph., and Chua, L. O., International Journal of Bifurcation and Chaos 5(5), 1995, 1283–1302; Sharkovsky, A. N., Maistrenko, Yu. L., and Romanenko, E. Yu., Difference Equations and Their Applications, Kluwer, Dordrecht, 1993.). In this paper we consider the time-delayed Chua's circuit introduced in (Sharkovsky, A. N., International Journal of Bifurcation and Chaos 4(5), 1994, 303–309; Sharkovsky, A. N., Maistrenko, Yu. L., Deregel, Ph., and Chua, L. O., Journal of Circuits, Systems and Computers 3(2), 1993, 645–668.) which behavior is determined by properties of one-dimensional map, see Sharkovsky, A. N., Deregel, Ph., and Chua, L. O., International Journal of Bifurcation and Chaos 5(5), 1995, 1283–1302; Maistrenko, Yu. L., Maistrenko, V. L., Vikul, S. I., and Chua, L. O., International Journal of Bifurcation and Chaos 5(3), 1995, 653–671; Sharkovsky, A. N., International Journal of Bifurcation and Chaos 4(5), 1994, 303–309; Sharkovsky, A. N., Maistrenko, Yu. L., Deregel, Ph., and Chua, L. O., Journal of Circuits, Systems and Computers 3(2), 1993, 645–668. To characterize the time-evolution of these circuits we can compute the topological entropy and to distinguish systems with equal topological entropy we introduce a second topological invariant.     

Effects of Viscous Dissipation on Unsteady Free Convection in a Fluid Past a Vertical Plate Immersed in a Porous Medium

The effects of viscous dissipation on unsteady free convection from an isothermal vertical flat plate in a fluid saturated porous medium are examined numerically. The Darcy–Brinkman–Forchheimer model is employed to describe the flow field. A new model of viscous dissipation is used for the Darcy–Brinkman–Forchheimer model of porous media. The simultaneous development of the momentum and thermal boundary layers are obtained by using a finite difference method. Boundary layer and Boussinesq approximation have been incorporated. Numerical calculations are carried out for various parameters entering into the problem. Velocity and temperature profiles as well as local friction factor and local Nusselt number are shown graphically. It is found that as time approaches infinity, the values of friction factor and heat transfer coefficient approach steady state.     

Ablation of a hydrogen pellet in a light-gas gun bore

An ablation model for a hydrogen pellet accelerating in a thermonuclear facility fuel-injector bore is developed. The model is based on the Lagrange internal-ballistic problem complemented by the Stefan conditions on the ablating surface of the pellet Calculations demonstrate that, during pellet motion in the bore under the action of the gas, the pellet length remains almost unchanged, while due to the heat exchange with the bore walls the pellet diameter decreases by 4–10% St. Petersburg. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 1, pp. 3–11, January–February, 1999.     

Unsteady motion of a thin wing in a stratified fluid

M. A. Lavrent'ev Institute of Fluid Dynamics, Siberian Branch of the Russian Academy of Sciences, 630090 Novosibirsk. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 36, No. 6, pp. 37–49, November–December, 1995.     

Efficiency of a protective gas film with high injection ratios in a highly turbulent main flow

Novosibirsk. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, No. 1, pp. 48–52, January–February, 1994.     

Numerical investigation of deuterium implosion in a conical target

Moscow. Translated from Prikladnaya Mekhanika i Technicheskaya Fizika, No. 4, pp. 22–32, July–August 1994.     

Experimental study of spectra corresponding to some two-point fourth-order moments in a developed turbulent flow in a tube

Moscow Physico-Technical Institute, Dolgoprudnyi Moscow Region 111700. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 36, No. 3, pp. 87–91, May–June, 1995     

Aerodynamic characteristics of a delta wing in hypersonic flow

Novosibirsk. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, No. 2, pp. 66–69, March–April, 1994.     

Flow Adjacent to a Stretching Permeable Sheet in a Darcy–Brinkman Porous Medium

In this article, we extend the work of Chakrabarti and Gupta (1979, Quart. Appl. Math., Vol. 37, pp. 73–78), and the work of Pop and Na (1998, Mechanics Research Communications, Vol. 25, pp. 263–269) to a Darcy–Brinkman porous medium.     

Conditions in a node of one-dimensional gas flows

Perm' State University, Perm' 614600. Translated from Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 36, No. 4, pp. 98–109, July–August, 1995.     

Axisymmetric equilibrium shapes of a fluid in a toroidal vessel under conditions of weightlessness

The axisymmetric problem of the evolution of the free surface of a fluid during the filling of a toroidal vessel under conditions of weightlessness is considered. Despite its interest [1, 2], this topical problem of the hydrodynamics of weightlessness remains unsolved for lack of an effective method of solution. This paper employs the iteration-difference approach proposed in [3–5] for calculating simply and doubly connected axisymmetric equilibrium figures. Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 154–156, November–December, 1986.     

Use of a charge-exchange process in spectral diagnostics of plasma streams

Novosibirsk. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, No. 3, pp. 174–180, May–June, 1994.     

Some characteristics of heat and mass transfer in a turbulent air flow over a surface

It is shown that, for a certain proportion between the rib height (2–15 mm) installed at the test-section entrance and the turbulence level of the main flow (1–26%), there are extrema of parameters that describe mass transfer on the surface of an evaporating liquid fuel. In tests with and without combustion, discrete changes in the rates of heat and mass transfer are observed. Conditions for their manifestation are analyzed. Kutateladze Institute of Thermal Physics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090. Translated from Prikladnaya Mekhanika i Tekhnicheskava Fizika, Vol. 41, No.4, pp. 124–130, July–August, 2000.     

Special case of a traveling wave in one model of a multicomponent medium

The Kuropatenko model for a multicomponent medium whose components are polytropic gases is considered. It is assumed that, as x → ±∞, the multicomponent medium is in a homogeneous state with constant gas-dynamic parameters — velocity, pressure, and temperature. For the traveling wave flows, conditions similar to the Hugoniot conditions are obtained and used to uniquely determine the flow parameters for x → −∞ from the flow parameters x → +∞ and traveling wave velocity. __________ Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 50, No. 4, pp. 39–47, July–August, 2009.     

Influence of a crack in a floating elastic plate on the propagation of flexural gravitational waves

Marine Hydrophysics Institute, Sevastopol' 335000, Ukraine. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 36, No. 4, pp. 170–175, July–August, 1995.     

Properties of solutions of a discrete Volterra system in a Banach space

We obtain a criterion for solutions of a linear discrete Volterra system with operator coefficients to be bounded or summable to a power p. __________ Translated from Neliniini Kolyvannya, Vol. 10, No. 2, pp. 184–187, April–June, 2007.