On the temperature jump in a rarefied gas over a permeable surface

An expression is obtained for the temperature jump in a rarefied gas over a permeable surface on the basis of a numerical solution of the model kinetic equation in the Knudsen layer.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol.19, No.2, pp. 259–264, August, 1970.     

Experimental study concerning the kinetics of water vapor condensation on a cylindrical surface in a rarefied gas

Results are shown of a study concerning the distribution of solid condensate on a cold cylinder surface under a vapor-gas pressure within the 10 < p_s < 10³ N/m² range.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 23, No. 1, pp. 42–50, July, 1972.     

On the problem of rarefied gas flow past blunt axisymmetric bodies

Shock layer separation in flows of rarefied gas past axisymmetric models is determined by interferometric methods. The form of the density jump is established.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 15, No. 5, pp. 843–846, November, 1968.     

Nonisothermal flow of a rarefied gas in a circular cylindrical channel

Using a method which averages the system of moment equations over the channel section, the authors have obtained expressions for Poiseuille flow and thermal creep flow in a capillary at intermediate Knudsen numbers (Kn?0.25).     

Couette problem for a rarefied gas in a channel

A study is made of the influence of the accommodation coefficients of tangential momentum of molecules on the lower and upper plates on the behavior of the gas between moving plates with arbitrary mirror-diffuse boundary conditions. The solution is constructed in a wide range of Knudsen numbers. Expressions for the mass and heat fluxes, the friction force, and the mass velocity are obtained. __________ Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 79, No. 2, pp. 186–193, March–April, 2006.     

Theoretical investigation of nonisothermal flow of a rarefied gas in a cylindrical capillary

This paper calculates thermocreep and Poiseuille flow in a cylindrical capillary using the Bubnov-Galerkin method. Asymptotic formulas are obtained for flow in the viscous regime with slip.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 36, No. 1, pp. 86–93, January, 1979.     

Boundary conditions at a surface undergoing sublimation into a rarefied multicomponent gas

Boundary conditions have been found for flow of a rarefied multicomponent gas over a sublimating wall. For a multi-component gas the boundary conditions obtained are a generalization of the wellknown conditions for slip and temperature jump in the case of a permeable surface.     

Analytical solution of a gas sliding problem using a new kinetic equation

A new kinetic equation leading to a correct (true) value of the Prandtl number (Pr) is derived. Based on this equation, an analytical solution to the gas sliding problem is obtained and the isothermal and thermal sliding velocities are calculated, the corresponding formulas being derived in an explicit form. The results of numerical calculations indicate that the proposed model is compatible with the existing theories: the results obtained for the thermal sliding fall between data calculated within the framework of the Bhatnagar-Gross-Kruck (BGK) model with constant collisional frequency and the BGK model with constant mean free path. The new model can be referred to as a model with an intermediate character of the collisional frequency as the function of the velocity of molecules. An important advantage of the proposed model is the presence of a parameter that may correspond to the true Prandtl number. The values of the sliding coefficients K _sl and K _Tsl in this kinetic model possess essentially a new qualitative status. Indeed, the “old” quantities were obtained using a model with incorrect Prandtl number and had to be recalculated for the correct Pr value, this procedure introducing an element of uncertainty. The results obtained using the proposed model, involving the correct Pr value, are free of this disadvantage.     

Adsorbed layers in the interaction of a rarefied gas flow with a deeply cooled optical surface

A method of direct modeling of adsorbed layers and estimation of the mean thickness o f the cryodeposit is considered. The theoretical results are compared with experimental data.Translated from Inzhenerno-fizicheskii Zhurnal, Vol. 60, No. 2, pp. 321–324, February, 1991.     

Formation on solid surfaces of a gas monolayer providing protection against friction in rarefied media

The dynamics of formation of a monomolecular gas layer on an exposed surface are analyzed on the basis of a solution of the kinetic adsorption equation, with allowance for adsorption, desorption, and the migration of molecules to the free parts of the surface under equilibrium external conditions.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 31, No. 6, pp. 1039–1046, December, 1976.     

Two methods of calculating the velocity profile of a non-Newtonian liquid in cylindrical channels of arbitrary cross section

Two approaches to solving the problem of the flow of non-Newtonian liquid in cylindrical channels of arbitrary cross section are analyzed: variational and iterative approaches.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 49, No. 1, pp. 65–72, July, 1985.     

Use of total head tube and mass-flow head to determine the density and velocity of a rarefied gas stream

Results are given of an experimental determination of the density and velocity of a rarefied gas stream in the range of M from 3.1 to 9.0 and of Re₁ from 45 to 1500.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 19, No. 6, pp 998–1001, December, 1970.     

A method of studying the state of a rarefied gas

We propose a mathematically correct method of solving the Boltzmann equations.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 16, No. 5, pp. 885–891, May, 1969.     

Isothermal slip of a binary gas mixture along a solid surface

This paper investigates Couette flow of a binary mixture of a rarefied gas between two flat plates. An analytical expression for the rate of isothermal slip of a binary mixture of the rarefied gas along the surface is obtained.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 32, No. 4, pp. 683–686, April, 1977.     

Engineering formulas for calculating the friction on a permeable surface in a turbulent gas flow

Simple formulas are proposed for calculating the friction on a permeable surface in a turbulent gas flow.     

Scattering kernel of gas particles on the surface of a nonequilibrium solid

The solution of the kinetic equation for the distribution function of adsorbed gas atoms is used to construct the scattering kernel for a nonequilibrium state of the surface.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 51, No. 3, pp. 424–428, September, 1986.     

Effect of frictional anisotropy on the quasistatic motion of a deformable solid sliding on a planar surface

In this paper, the motion of a deformable body sliding on a half-plane is considered. The solid undergoes large displacements but small strains. An orthotropic friction model described by an elliptic cone is considered. This model allows to describe the sliding-direction dependence of the frictional behavior observed in experience. The algorithm used to solve the problem is based on a weak variational statement of the frictional contact law. The Uzawa algorithm is used to solve the discrete problem. The corresponding algorithm is robust and can deal with large sliding increments. The study shows that frictional properties can influence significantly the trajectory of a deformable body sliding on a frictional surface. Supported by the Australian Research Council     

Flow of gas in the channels of a cylindrical solid,freely moving between end chambers

A numerical solution is derived for the heat transfer and hydraulic resistance of transient gas flows in the channels of a cylindrical solid (such as a piston or ejector) moving freely Between end chambers.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 28, No. 3, pp. 423–429, March, 1975.