## Publications

88 results found

Nikitin NB, Chernyshenko SI, 1997, On the nature of the organized structures in turbulent near-wall flows, *Fluid Dynamics*, Vol: 32, Pages: 18-23, ISSN: 0015-4628

A physical mechanism of onset of large-scale organized structures in turbulent flows along a plane wall which are the cause of intensification of turbulent fluctuations is formulated. The structures take the form of high-speed and low-speed streaks caused by streamwise vortices, i.e., motions in the plane of the transverse cross-section. The streamwise vortices are excited as a result of instability under the action of the anisotropy of the normal components of the Reynolds stress tensor. A model for describing these vortices that gives characteristics in qualitative and quantitative agreement with the experimental data is proposed. In particular, the most probable and mean distances between neighboring vortices are correctly reproduced. The theory makes it possible to explain certain methods of turbulent flow control for the purpose of drag reduction. © 1997 Plenum Publishing Corporation.

Bunyakin AV, Chernyshenko SI, Stepanov GY, 1996, Inviscid Batchelor-model flow past an airfoil with a vortex trapped in a cavity, *JOURNAL OF FLUID MECHANICS*, Vol: 323, Pages: 367-376, ISSN: 0022-1120

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- Citations: 9

Chernyshenko SI, Castro IP, 1996, High-Reynolds-number weakly stratified flow past an obstacle, *JOURNAL OF FLUID MECHANICS*, Vol: 317, Pages: 155-178, ISSN: 0022-1120

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- Citations: 9

CHERNYSHENKO SI, 1995, STABILIZATION OF TRAPPED VORTICES BY ALTERNATING BLOWING SUCTION, *PHYSICS OF FLUIDS*, Vol: 7, Pages: 802-807, ISSN: 1070-6631

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- Citations: 19

Chernyshenko SI, 1995, Asymptotics of steady axisymmetric flow around with incompressible fluid of a bluff body at high Reynolds numbers, *Izvestiya Akademii Nauk. Mekhanika Zhidkosti I Gaza*, Pages: 37-44, ISSN: 0568-5281

A stationary axisymmetric flow around a body with viscous incompressible fluid at high Reynolds number is considered. It is shown that the flow in the body scale is not described by the Kirchhoff model; namely: near the body is conserved sufficiently intensive backward flow which leads to appearance of a secondary separation zone. The zone is observed in experiments and in numerical calculations. The obtained quantitative results are compared with calculational results. The conclusion is made that the proposed explanation of secondary separation appearance in axisymmetric flow is correct.

Chernyshenko SI, 1995, Asymptotics of steady axisymmetric flow of incompressible fluid past a bluff body at high Reynolds number, *Fluid Dynamics*, Vol: 30, Pages: 28-34, ISSN: 0015-4628

Steady axisymmetric separated flow at high Reynolds number is considered. It is shown that the body scale flow does not correspond to the Kirchhoff model because near the body there is a fairly strong reversed flow causing the secondary separation which is observed in numerical computations. Quantitative theoretical results are compared with the numerical results. © 1995 Plenum Publishing Corporation.

CHERNYSHENKO SI, CASTRO IP, 1993, HIGH-REYNOLDS-NUMBER ASYMPTOTICS OF THE STEADY FLOW-THROUGH A ROW OF BLUFF-BODIES, *JOURNAL OF FLUID MECHANICS*, Vol: 257, Pages: 421-449, ISSN: 0022-1120

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- Citations: 15

Chernyshenko SI, 1993, Density-stratified Sadovskii flow in a channel, *Fluid Dynamics*, Vol: 28, Pages: 524-528, ISSN: 0015-4628

Stably density-stratified and nonstratified flows in a channel past a pair of symmetrical closed-streamline vortices on the channel axis are considered. The numerical results obtained cover the whole range of subcritical stratification and eddy lengths. An asymptotic solution for a very long closed-streamline region is found. The results can be used directly in the asymptotic theory of separated flows at high Reynolds number. Sadovskii flows are plane potential inviscid flows past a pair of closed-streamline regions of uniform vorticity. The flow velocity may be discontinuous at the boundary of the closed-streamline region. The analysis below is restricted to the specific case of continuous velocity distribution, so that the Bernoulli constant jump at the eddy boundary is zero. Unbounded nonstratified flows of this kind were studied in [1, 2]. Calculations of the corresponding channel flow were restricted to relatively wide channels. Closely related problems were also considered in [3, 4]. © 1994 Plenum Publishing Corporation.

Chernyshenko SI, 1993, Density-stratified Sadovskij flow in a channel, *Doklady Akademii nauk SSSR*, Pages: 118-123, ISSN: 0002-3264

Stable density-stratified and non-stratified non-viscous flows in a channel whose axis of symmetry passes through a pair of symmetric vortex regions with closed lines of current are considered. Numerical calculations covering the entire range of subcritical stratification and possible lengths of the zone of closed current lines are carried out. An asymptotic solution for a very large length of the zone of closed current lines is constructed. The results obtained are usable immediately in the asymptotic theory of stalled flows at large Reynolds numbers.

CHERNYSHENKO S, 1993, STRATIFIED SADOVSKII FLOW IN A CHANNEL, *JOURNAL OF FLUID MECHANICS*, Vol: 250, Pages: 423-431, ISSN: 0022-1120

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- Citations: 12

Chernyshenko SI, 1993, Asymptotic behavior of high-Reynolds-number flow through an array of blunt bodies, *Russian Physics Journal*, Vol: 36, Pages: 308-325, ISSN: 1064-8887

A previously developed theory of high-Reynolds-number flow around a body is extended to the case of flow through an array of bodies. An asymptotic expansion suitable for H≫1 and Re≫1, where 2H is the spacing of the array and Re is the Reynolds number, is constructed. The results are compared to numerical calculations. The structure of the asymptotic solution for H=O(1) is discussed. © 1993 Plenum Publishing Corporation.

Chernyshenko SI, 1991, Separated flow over a backward-facing step whose height is much greater than the thickness of the lower sublayer of the interaction zone, *Fluid Dynamics*, Vol: 26, Pages: 496-501, ISSN: 0015-4628

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- Citations: 5

Chernyshenko SI, 1991, Separated flow past a backward-facing step with the height considerably greater than the width of the lower sublayer of the triple-deck structure, *Izvestiya Akademii Nauk. Mekhanika Zhidkosti I Gaza*, Pages: 25-30, ISSN: 0568-5281

In the frame of the theory of boundary layer - supersonic flow interaction a small streamlined step is under consideration. The step height is suggested to be much larger than the thickness of the lower sublayer in the interaction area but it is much smaller than the boundary layer thickness. For the proper limits the flow structure becomes similar to one in the well-known Batchelor model. The presence of drag points in viscous flow inside the separated area results in secondary separation arising. The secondary separation area for the problem of streamlined small step in supersonic flow turns out to be relatively small. This feature allows to obtain a value of bottom pressure by an extrapolation method.

CHERNYSHENKO SI, 1988, THE ASYMPTOTIC FORM OF THE STATIONARY SEPARATED CIRCUMFLUENCE OF A BODY AT HIGH REYNOLDS-NUMBERS, *PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS*, Vol: 52, Pages: 746-753, ISSN: 0021-8928

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- Citations: 19

Chernyshenko SI, 1988, Asymptotics of a steady separated flow around a body with large Reynolds numbers, *Akademiya Nauk SSSR. Otdelenie Tekhnicheskikh Nauk. Institut Mekhaniki. Prikladnaya Matematika i Mekhanika*, Vol: 52, Pages: 958-966, ISSN: 0032-8235

Chernyshenko SI, 1985, Calculation of separated flows of low-viscosity liquids using the Batchelor model.

Conditions of applicability and examples of application of the Batchelor Model (BM) are considered. The application of the BM to flow near a plate mounted perpendicularly to a wall at the stagnation point is examined, and a method for solving the corresponding eddy potential problem is described. The application of a precise form of the condition for determining vorticity is also examined. It is shown that eddy potential flow cannot be the limit (at Re approaching infinity) of laminar flow behind a step, arguments in favour of an analogous conclusion with regard to flow past blunt bodies are presented.

CHERNYSHENKO SI, 1985, THE ASYMPTOTIC OF STATIONARY SOLUTIONS OF NAVIER-STOKES EQUATIONS AT LARGE REYNOLDS-NUMBERS, *DOKLADY AKADEMII NAUK SSSR*, Vol: 285, Pages: 1353-1355, ISSN: 0002-3264

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- Citations: 3

Chernyshenko SI, 1985, Calculation of separated flows of low-viscosity liquids using the Batchelor model.

Conditions of applicability and examples of application of the Batchelor Model (BM) are considered. The application of the BM to flow near a plate mounted perpendicularly to a wall at the stagnation point is examined, and a method for solving the corresponding eddy potential problem is described. The application of a precise form of the condition for determining vorticity is also examined. It is shown that eddy potential flow cannot be the limit (at Re approaching infinity) of laminar flow behind a step, arguments in favour of an analogous conclusion with regard to flow past blunt bodies are presented.

Chernyshenko SI, 1985, On the asymptotic behavior of stationary solutions of the Navier-Stokes equations for large Reynolds numbers, *Doklady Akademii Nauk SSSR*, Vol: 285, Pages: 1353-1355, ISSN: 0002-3264

Chernyshenko SI, 1984, MEAN DISTANCE BETWEEN PARTICLES IN A DUST-LADEN GAS WHEN THERE ARE SINGULARITIES IN THE SMOOTHED PARTICLE DENSITY., *Moscow University mechanics bulletin*, Vol: 39, Pages: 34-37, ISSN: 0027-1330

It is shown that, although the density of the dispersed phase becomes infinite on the envelop of the family of trajectories of reflected particles, the mean distance between particles remains finite. A formula is obtained for the mean distance when there are density singularities.

Chernyshenko SI, 1984, Calculation of low-viscosity flows with separation by means of Batchelor's model, *Fluid Dynamics*, Vol: 19, Pages: 206-211, ISSN: 0015-4628

The paper analyzes the conditions of applicability and examples of the application of Batchelor's model. © 1984 Plenum Publishing Corporation.

CHERNYSHENKO SI, 1984, MEAN DISTANCE BETWEEN PARTICLES IN A DUST-LADEN GAS WITH SINGULARITIES OF SPREAD PARTICLE DENSITY, *VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA*, Pages: 69-70, ISSN: 0579-9368

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- Citations: 2

Chernyshenko SI, 1983, HEAT TRANSFER IN TOROIDAL TUBES AT LARGE PRANDTL NUMBERS., *Moscow University mechanics bulletin*, Vol: 38, Pages: 24-28, ISSN: 0027-1330

The temperature distribution in the cross section of a toroidal tube as Pr yields infinity is considered. In the limit, the temperature is constant along the current lines of the secondary flow. The temperature distribution along the streamlines satisfies an equation obtained from the initial equation (Pr does not equal infinity ) by integration over the closed streamlines. The boundary condition for this equation follows from the closure of the boundary layer around the tube wall and the symmetry plane.

CHERNYSHENKO SI, 1983, HEAT-TRANSFER IN TOROIDAL PIPES WHEN THE PRANDTL NUMBER IS LARGE, *VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA*, Pages: 87-90, ISSN: 0579-9368

CHERNYSHENKO SI, 1983, STATIONARY LOW-VISCOSITY FLUID-FLOWS IN CHANNELS AND TUBES OF PERIODIC PROFILE, *DOKLADY AKADEMII NAUK SSSR*, Vol: 268, Pages: 314-316, ISSN: 0002-3264

Chernyshenko SI, 1982, An approximate method of determining the vorticity in the separation region as the viscosity tends to zero, *Fluid Dynamics*, Vol: 17, Pages: 7-12, ISSN: 0015-4628

In accordance with the Prandtl-Batchelor theorem, the vorticity in a separation region is constant in a laminar flow with vanishingly small viscosity. Batchelor proposed that the vorticity should be determined by matching the inviscid flow and the boundary layer at the edge of the separation region. An approximate method is constructed and, under a number of simplifying assumptions, used to consider a flow with a separation region in a rectangular trough. © 1982 Plenum Publishing Corporation.

Chernyshenko SI, 1980, ENERGY CRITERION FOR APPEARANCE OF SELF-EXCITED OSCILLATIONS., *Moscow University mechanics bulletin*, Vol: 35, Pages: 6-10, ISSN: 0027-1330

Proof of a theorem is presented which can be applied to vibrations of aerostatic supports with a flexible enclosure for the air cushion zone.

CHERNISHENKO SI, 1980, AN ENERGY CONDITION FOR GENERATING AUTO-OSCILLATIONS, *VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA*, Pages: 62-66, ISSN: 0579-9368

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