The application of the projection method for constructing the shape of a body with minimum drag

The problem is considered of constructing a semi-infinite axisymmetric body with minimum drag in subsonic flow of an ideal gas. This problem is formulated as the problem of finite-dimensional minimization by prescribing the shape of the body in parametric form and applying the projection method for solving a flow problem.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 2, pp. 108–113, March–April, 1985.     

Allowance for the unsteadiness of the flow in determining the critical cavitation number for marine propellers

A method of estimating the critical cavitation number for marine propeller blades is proposed. This method is based on the reduction of the three-dimensional unsteady problem to the three-dimensional steady problem and a series of two-dimensional unsteady problems.Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No.1, pp. 78–85, January–February, 1993.The authors are grateful to S. V. Kaprantsev for assisting with the experiments.     

Motion of a charged particle in crossed fields when the magnetic field is strongly inhomogeneous

We discuss the astrophysical problem [1] of the motion of a charged particle in crossed fields. In contrast with previous treatments [2–5] we allow strong inhomogeneities of the magnetic field.Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 4, pp. 3–6, July–August, 1981.     

Numerical modeling of the ascent of surface thermals

The problem of the ascent of large-scale hemispherical clouds of hot gas from the vicinity of a rigid, thermally insulated surface is investigated numerically.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 2, pp. 129–135, March–April, 1989.     

Mass transfer between bubbles and the continuous phase in a pseudofluidized layer

The problem of mass transfer between an isolated bubble and the continuous phase in a pseudofluidized layer is considered, when the rising velocity of the bubble exceeds the pseudofluidization rate. In this case the bubble with the surrounding region, a so-called two-phase system, is surrounded by a surface current impermeable to the liquid [1–3], and the problem reduces to determining the concentration field and the total flow on the material surface. The problem is solved for large and small Peclet numbers by a boundary layer diffusion method and by asymptotic expansion matching.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 42–49, July–August, 1973.     

Simulation of the instability of axisymmetric vortices using the contour dynamics method

The two-dimensional problem of the stability of the circular motion of an ideal incompressible fluid with given radial vorticity distribution is studied.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 33–39, January–February, 1985.     

Seepage-limitation optimization of the shape of an irrigation channel by the inverse boundary-value problem method

A study is made of the problem of finding the optimal shape of the section of an irrigation channel from the point of view of minimizing the seepage loss; the inverse boundary-value problem method [1] is used.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 74–80, May–June, 1984.     

Extremal estimates in the theory of freezing of filtering soils

The problem of obtaining the lower limit of the strength of cold sources necessary to maintain the equilibrium shape of a body of given crosssectional area is formulated.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 97–102, July–August, 1989.     

Use of the plane of the hodograph with the shaping of an axisymmetric laval nozzle by a numerical method

In the development of [1] a method is proposed for solving the problem of the shaping of the subsonic part of an axisymmetric Laval nozzle with a straignt sonic line: the Dirichlet problem with a piecewise-continuous boundary function is stated and solved by a numerical method for a nonlinear equation of the second order in the plane of the hodograph.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 164–168, January–February, 1977.     

Invariant Integrals in the Problem of a Crack on the Interface between Two Media

The equilibrium problem for an elastic body containing a crack on the interface between two media is considered. It is proved that there exist invariant (independent of the integration surface) integrals in this problem. The existence of invariant integrals is also established in the problem of a contact between an elastic body and a rigid stamp. Nonlinear boundary conditions of mutual non-penetration are prescribed on the contact boundaries. The physical meaning of invariant integrals is established.__________Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 46, No. 5, pp. 123–137, September–October, 2005.     

Entrainment of aerosol particles into the stratosphere by a hot thermal

The unsteady axisymmetric problem of the transport of aerosol particles from the surface zone into the stratosphere by a hot thermal is numerically investigated.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 146–152, November–December, 1987.     

Radiative heating of bodies entering the atmosphere of venus

The problem of the trajectory of a blunt body in a CO₂+N₂ gas mixture simulating the atmosphere of Venus is considered.Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No.4, pp. 135–139, July–August, 1992.     

Flow past a plate under the free surface of a weightless liquid

A study is made of the nonlinear problem of the flow without separation of a perfect weightless liquid past a plate near the free surface. This problem was first posed by Gurevich [1]. At present, there are only a general solution to the problem [2–4] and some numerical calculations [5], which have been made under definite restrictions and are inadequate for detailed information about the interaction between the free surface and the plate. In the present paper, a complete investigation of the problem is given. Convenient computational formulas are obtained together with asymptotic expansions of them, and detailed calculations are made for all depths of the plate.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 158–162, January–February, 1980.     

Model of the internal circulation of a liquid drop in a gas stream

An analytical model for calculating the internal flow in a drop is proposed. The model is checked by numerically solving the exact boundary-value problem for the Navier-Stokes equations.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 167–170, November–December, 1989.     

Calculation of the free surface of a conducting liquid in a strong electric field

A study is made of the static shape of a conducting liquid in a strong inhomogeneous electric field at the end of a capillary. Numerical solution of a self-consistent problem is used.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 165–167, November–December, 1983.     

Calculation of flow near the critical point with liquid cooling

The problem of thermal protection is formulated exactly and solved for objects covered with a film of liquid coolant. The results of calculations are shown for an axially symmetrical object in a stream of oxygen.Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 2, pp. 44–48, March–April, 1972.     

Plane filtration in a laminar medium in the presence of imperfect reservoirs

Exact and approximate solutions were obtained describing filtration flow in a plane region in sectors corresponding to imperfect reservoirs and suction gaps. These equations make it possible to obtain an approximate solution to the three-dimensional problem of the filtration of ground waters by solution of the two-dimensional problem; imperfect reservoirs are permitted in the filtration region.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 76–83, May–June, 1973.     

Solution of the inverse problem of thermal conductivity for a melting slab with entrainment

This article proposes an approximate solution to the inverse problem of the Stefan type for a finite region with arbitrary boundary and initial conditions. A comparison with exact solutions is made.Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 3, pp. 132–137, May–June, 1973.     

Integral approach to the solution of problems of free interaction

An integral approach to the solution of free-interaction problems that uses integral moment relations for the viscous sublayer is proposed. The method is tested on the solution of a laminar separation problem.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 99–104, January–February, 1984.     

Numerical simulation of the unstable motion of a slug of polymer solution in a porous medium

The numerical solution to the problem of unstable motion of a slug of polymer solution in a porous medium is considered. The influence of various factors on the simulated flows is investigated.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 88–93, September–October, 1981.