Flow and heat exchange in the neighborhood of a subterranean pipeline

The present study considers flow and heat exchange in the neighborhood of a subterranean pipeline on irrigated sector of a route. The flow is caused by thermal convection of the liquid in the field of gravitational forces, this convection being connected with the cooling or heating of the liquid near the surface of the pipeline.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 51–56, November–December, 1987.     

Analysis of the film condensation process of vapor on a vertical finely serrated surface

The process of film condensation of vapor on vertical finely serrated surfaces is investigated. The analysis shows that owing to the specific conditions under which the distribution of the condensed film along the cooling surface is in the main affected by surface tension, the effectiveness of such surfaces may be several times higher than that of plain tubes.Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, Vol. 10, No. 3, pp. 93–97, May–June, 1969.     

Circulation flow at the front surface of a sphere in a supersonic wake

Several theoretical and experimental studies of supersonic flow past a blunt body located in the wake behind another body have been made [1–7]. It has been shown that a reverse-circulation flow can occur in the shock layer at the front surface. The possibility of such a flow forming depends on the nonuniformity of the freestream flow and the Reynolds number. This paper presents new results of the theoretical study of the structure of the shock wave at the front surface of such a sphere, obtained on the basis of numerical solution of Navier-Stokes equations. It is shown that for a fixed nonuniformity of the freestream flow, an increase in the Reynolds number and cooling of the surface of the body lead to the formation of a secondary vortex in the region where the contour of the body intersects the axis of symmetry. A study is made of the variations of the drag and heat transfer parameters over the front surface of a cooled and thermally insulated sphere. The possibility of numerical simulation of the flow on the basis of the Euler equations is discussed.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 143–148, May–June, 1985.     

Influence of tangential injection on heat transfer to a cone in the transition reynolds number domain

A gas mist produced by supplying a cooling gas through a separate slot or a system of slots along the surface is a widespread method of obtaining a mass-transfer heat shield. Application of the gas mist for heat-shield purposes can hence be combined with its use to control gasdynamic processes. One possible scheme is gas injection through a slot tangentially to the cooled surface so that the directions of motion of the injected jet and the main flow coincide.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 25–29, September–October, 1977.     

Effect of nonisothermality of the surface of a thin profile on the stability of a laminar boundary layer

Investigations of the stability of a subsonic laminar boundary layer have shown that, other things being equal, the stability of the laminar flow is considerably improved by cooling the entire surface of the body to a constant temperature T_w=const lower than the temperature of the free stream [1–3]. This is attributable to an increase in the critical Reynolds number of loss of stability and a decrease in the range of unstable perturbations of the Tollmien-Schlichting wave type when the surface is cooled. Recently, in the course of investigating the stability of laminar flow over a flat plate it was found [4, 5] that a similar improvement in flow stability can be achieved by raising the temperature of a small part of the surface near the leading edge of the plate. In this study we examine the possibility of delaying the transition to turbulent flow by creating a nonuniform temperature distribution along the surface of thin profiles, where the development of an adverse pressure gradient in the outer flow has a destabilizing effect on the boundary layer.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 36–42, September–October, 1986.In conclusion, the authors wish to thank M. N. Kogan for useful discussions of their results.     

Emission and radiative cooling of xenon plasma behind a strong shock front

A numerical and experimental investigation of the emissivity and radiative cooling of xenon plasma in strong shock waves with Mach numbers M=16–45, including experimentally up to M=28, has been made. It is shown that under these conditions the equilibrium temperature behind the shock wave can be reduced by cooling by 1.5–2 times.Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 1, pp. 155–162, January–February, 1992.     

Viscous shock layer near the stagnation point on a rotating body with unsteady injection and surface cooling

Unsteady supersonic flow regimes in the neighborhood of a stagnation point are investigated on the basis of a system of viscous shock layer equations [10] containing all the terms of the Euler equations and the boundary layer equations. An analytic solution of the unsteady equations valid near the surface of the body is found in the case of strong injection. The unsteady equations of the viscous shock layer are solved numerically on the basis of a divergent implicit scheme of the second order of approximation across the shock layer, using Newtonian linearization and vector sweep methods with allowance for the boundary relations on the surface of the body and at the isolated bow shock. Certain calculation results illustrating the effect of injection, surface cooling, the swirl of the external flow and the angular velocity of the body on the structure of the steady and unsteady viscous shock layer are presented.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 114–122, September–October, 1987.     

Stability of subsonic laminar boundary layer on a flat plate with volume energy supply

Reducing frction drag and delaying the laminar-turbulent transition are topical problems of modern aerodynamics. A series of methods of delaying transition are known: creation of a favorable pressure gradient, boundary layer suction, surface cooling, etc., [1, 2]. Here, the possibility of delaying transition by means of volume heat supply to the boundary layer is considered. For this purpose, a subsonic compressible laminar boundary layer with volume energy supply is subjected to a stability analysis. The nonself-similar flow in the boundary layer is determined by means of a finite-difference marching method. The flow stability characteristics are calculated on the basis of the linear theory in the plane-parallel approximation. It is shown that even on a thermally insulated surface volume energy supply to the flow leads to significant flow stabilization and reduced perturbation growth rates.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 2, pp. 62–67, March–April, 1988.     

Ignition of hydrogen in a turbulent boundary layer on a plate

The ignition of hydrogen blown into a turbulent supersonic boundary layer on a flat plate is investigated numerically. It is assumed that the mixture consists of six chemically active components H, O, OH, H₂O, O₂, H₂ and inert nitrogen N₂. The boundary layer is divided into outer and inner regions, for which different expressions for the coefficients of turbulent transport are used. The influence of pulsations on the rates of the chemical reactions, and also the back reaction of the chemical processes on the mechanism of turbulent transfer are not taken into account. The surface of the plate is assumed to be absolutely catalytic with respect to the recombination reactions of the H and O atoms. The influence of the blowing intensity, the Mach number in the outer flow, and the pressure on the ignition delay is analyzed. The possibility of effective porous cooling of the surface when there is combustion in the boundary layer is demonstrated.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 33–40, November–December, 1979.I thank V. G. Gromov and V. A. Levin for their interest in the work.     

Boundary-layer flow characteristics on perforated plates and a method of approximately computing their temperature under combined cooling

Results of an experimental investigation of the heat elimination from perforated plates to cooling air during its motion along walls and partial drainage through the perforations are elucidated. Boundary-layer characteristics on perforated plates, their thermal state, and their efflux coefficients are presented for a set of orifices. An approximate method to compute the temperature of the permeable wall under combined cooling is given and its domain of application is estimated.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 2, pp. 182–187, March–April, 1977.     

Effect of cooling rate on fracture behavior of polypropylene

The purpose of this work is to investigate the influence of morphology, induced by cooling rate during molding, on the time–temperature dependence of fracture behavior of polypropylene (PP). Fractures tests were performed over a range of loading rates from 0.2 mm/min to 2.5 m/s, using the single edge notched bending specimen. The results show that the transition temperature from brittle to ductile behavior increases with decreasing cooling rate. However, at very low loading speed (0.2 mm/min), an opposite effect is observed, the brittle–ductile transition temperature diminishes with lower cooling rate. At low test speeds, the fracture performance is reduced with a decreasing cooling rate. Conversely, under impact, the fracture toughness of PP is enhanced with a decrease in cooling rate. This is explained by the mechanism of blunting of the crack tip due to adiabatic heating under high loading rates. The blunting effect results in a more significant plastic deformation of the crystalline region that requires a higher energy. The brittle–ductile transition was characterized by an energy activation process expressed by the Arrhenius equation. Decreasing the cooling rate results in a decrease of both the pre-exponential factor and the energy barrier controlling the time–temperature dependence of fracture behavior. The reduction of the pre-exponential factor corresponds to a more ordered morphology due to a reduction in the entropy and is consistent with a higher crystallinity. The reduction of activation energy with higher crystalline level suggests that the brittle–ductile transition also involves the primary relaxation process that is known to occur mostly in an amorphous structure. A higher crystallinity would restrain the primary relaxation processes and the brittle–ductile transition becomes more dependent on the secondary movements of the chain segments. The results demonstrate that the relationship between deformation rate, temperature, and mechanical performance of PP is not only controlled by molecular relaxation processes, but also strongly dependent on its morphology.     

Influence of a longitudinal pressure gradient on the effectiveness of a gas mist in a subsonic turbulent boundary layer

Investigations of effective methods of heat-shielding surfaces subjected to the effect of a high-temperature gas stream remain vital at the present time. One of the most prospective methods is that of injecting cooling gas through permeable section of a surface. In estimating the efficiency of such a method it is quite important to take account of the heat-shielding properties of the cold boundary layer downstream of the permeable section, i.e., in the gasmist domain. The question of the effect of a longitudinal pressure gradient on the efficiency of such a mist has not received a final solution.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 2, pp. 146–150, March–April, 1975.     

Barothermal effect in three-phase flow through a porous medium with phase transitions

The formation of a temperature field in a porous medium due to the barothermal effect and phase transitions associated with oil, water, and gas flow is investigated. Degassing of the liquid has an important influence on the formation of the temperature field, the presence of stratal water tending to reduce the cooling anomaly.Ufa. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 6, pp. 113–117, November–December, 1994.     

Locally nonuniform cooling in magnetic fluid quenching

The process of quenching cylindrical steel specimens in a magnetic fluid in the presence of a magnetic field is investigated. It is shown that depending on the strength of the magnetic field and its orientation with respect to the surface of the cylinder, local vapor formations that result in nonuniform cooling may appear on the surface and that the boiling of the fluid on the surface may take place in different regimes. The processes of formation of local vapor films were experimentally modeled by observing the shape of the surface of the magnetic fluid surrounding a cylinder placed between the poles of an electromagnet. An equation describing the shape of the free surface of the magnetic fluid and the evolution of the air pockets with variation of the volume of magnetic fluid and the strength of the magnetic field is derived. The surface shape of the magnetic fluid calculated from the theory proposed is shown to be in good agreement with the experimental data.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 2, pp. 3–11, March–April, 1989.     

Deviations from thermodynamic equilibrium during recombination of a dispersing plasma

The relaxation of a dense low-temperature plasma during cooling of the electrons on heavy particles and during dispersion of a plasma cluster into a vacuum is examined. The population kinetics is analyzed in the limiting cases of free escape and radiation capture. The results are presented for a numerical solution of the self-consistent (with respect to temperature and concentration of free electrons) problem of the relaxation of an atomic hydrogen plasma.Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 5, pp. 3–10, September–October, 1973.     

Calculation of friction and heat and mass exchange on rough permeable plane and axisymmetric bodies

The most effective methods of thermal shielding are characterized by the presence of a normal component of the velocity on the wall. They include porous cooling and the use of ablated coverings. If the heat-shielding materials have a granulated microstructure, their thermal expansion leads to roughness of the surface, as in the case of porosity of the wall. The present paper presents an integral method for calculating the drag and heat and mass transfer to a rough permeable surface in the case of a gradient flow of a compressible reacting gas.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 37–46, September–October, 1979.It is a pleasure to thank J. A. Schetz, who kindly sent tables of his experimental data, and also E. G. Zaulichny for discussing the work.     

Numerical calculation of the problem of cooling of a spherical volume of nonequilibrium-ionized radiating helium

The method is described and the results are presented for numerical calculations of a system of equations of nonsteady gasdynamics, radiation transfer in the continuous spectrum, and the kinetics of collisional ionization and ionization by radiation, which describe the dispersion and cooling of a spherical volume of He. A comparison is made with calculations performed on the assumption of thermodynamic equilibrium.Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 2, pp. 36–41, March–April, 1976.     

Spherical expansion of vapor during evaporation of a droplet

The problem of the evaporation of a spherical particle is solved by a numerical finnite-difference method for the stationary and nonstationary cases on the basis of the generalized Krook kinetic equation [1]. Evaporation into a vacuum and into a flooded space are considered taking into account the reduction in size and cooling of the droplet. The minimum mass outflow is determined for stationary evaporation into a vacuum at small Knudsen numbers. The results are compared with those of other authors for both the spherical and plane problems. Most previous studies have used different approximations which reduce either to linearizing the problem [2, 3] or to use of the Hertz-Knudsen equation [4]. The inaccurate procedure of matching free molecular and diffusive flows at some distance from the surface of the droplet [5] is completely unsuitable in the absence of a neutral gas. Equations for the rate of growth of a droplet in a slightly supercooled vapor were obtained in [6] from a solution of the ellipsoidal kinetic model by the method of (expansion of) moments.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 2, pp. 97–102, March–April, 1976.     

Population inversion of vibrational levels in the case of kinetic cooling of a moving gas

An analysis is made of the possibility of using kinetic cooling of a gas moving at a low subsonic or supersonic velocity in a field of continuous resonance radiation to produce a medium with population inversion.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 139–144, September–October, 1982.     

Experimental determination of the pressure on a disk entering a compressible fluid at an angle to the free surface

The results of experiments to determine the pressure on the surface of a disk entering a compressible fluid at an angle to the free surface are presented.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 2, pp. 21–25, March–April, 1988.