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    Article

    A Waveguide Model of the Developed Turbulent Boundary Layer

    A study of the developed turbulent boundary layer that emerges when incompressible viscous fluid flows around a plate at a zero angle of attack and with zero longitudinal pressure gradient is presented. The wa...

    V. A. Zharov, I. I. Lipatov, R. S. Selim in Computational Mathematics and Mathematical… (2023)

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    Article

    Self-Induced Suction of Fluid in a Turbulent Boundary Layer on a Permeable Surface

    A turbulent boundary layer of a viscous incompressible fluid develo** past a flat plate at finite distances from the laminar–turbulent transition zone is studied. It is assumed that the characteristic Reynol...

    A. R. Gorbushin, V. B. Zametaev in Computational Mathematics and Mathematical… (2022)

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    Article

    MECHANISM OF BURSTING FORMATION IN A SUPERSONIC GAS FLOW PAST A NARROW FLAT PLATE

    Theoretical results obtained within the framework of the weakly nonlinear model of a developed boundary layer in a flow past a narrow flat plate are verified with the use of methods of direct numerical simulat...

    I. I. Lipatov, R. Ya. Tugazakov in Journal of Applied Mechanics and Technical Physics (2022)

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    Article

    FREE INTERACTION OF THE FLOW IN A LAMINAR BOUNDARY LAYER WITH AN UPSTREAM MOVING EXPANSION WAVE

    The processes of interaction of an expansion wave with the flow in a laminar boundary layer are studied with the use of the theory of free interaction. Numerical solutions of a nonlinear problem are found for ...

    I. I. Lipatov, V. N. Petrukhanov in Journal of Applied Mechanics and Technical… (2022)

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    Article

    Forced Oscillations of a Pseudoshock in Transonic Gas Flow in a Diffuser

    The mathematical model of barotropic gas flow based on the two-layer flow representation with the regions of supersonic core and near-wall boundary layer is applied to the description of shock-wave structures ...

    I. I. Lipatov, V. Yu. Liapidevskii, A. A. Chesnokov in Fluid Dynamics (2021)

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    Article

    Solution of Falkner—Skan Equations for Hypersonic Flows

    The results of the solution of the Falkner—Skan equation for compressible flows $$f{\kern 1pt} ''' + ff{\kern 1pt} '' + \beta (g - f{{...

    I. I. Lipatov, K. T. Ngo in Fluid Dynamics (2020)

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    Article

    Control of a Flow in a Supersonic Boundary Layer

    A method for control of a flow in a two-dimensional boundary layer under strong interaction is considered. Blocking of the upstream influence is demonstrated due to the decrease in the perturbation propagation...

    I. I. Lipatov, V. K. Pham in Technical Physics Letters (2020)

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    Article

    Nonlinear Effects During Perturbation Propagation in Strong Supersonic Interaction

    Nonlinear interaction and energy loss by harmonics of perturbations propagating upstream are investigated. It is shown how nonlinear interaction of harmonics can form new harmonics.

    I. I. Lipatov, V. K. Fam in Journal of Applied Mechanics and Technical Physics (2020)

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    Article

    Methods of Controlling Flows under the Strong Hypersonic Interaction Conditions

    The methods of the flow control in a laminar boundary layer at local surface cooling are studied. The dependence of the velocity of disturbance propagation upstream on the temperature factor of the body surfac...

    I. I. Lipatov, V. K. Fam in Fluid Dynamics (2020)

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    Article

    Steady Secondary Flow in a Plane Turbulent Free Jet

    Asymptotic methods are applied to study a plane turbulent jet of a viscous incompressible fluid flowing out through a narrow slot into a space filled with a fluid. The complete Navier—Stokes equations are cons...

    A. R. Gorbushin, V. B. Zametaev, I. I. Lipatov in Fluid Dynamics (2019)

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    Article

    Disturbance Propagation in Boundary Layers under the Conditions of Weak Hypersonic Interaction

    Disturbance propagation in laminar boundary layers is investigated at large freestream velocities. An integral relation determining the disturbance propagation velocity in the weak hypersonic interaction regim...

    I. I. Lipatov, Q. N. Ngo in Fluid Dynamics (2018)

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    Article

    Processes of Interaction between a Laminar Boundary Layer Flow and an External Transonic Flow

    The processes of interaction between a laminar boundary layer flow and an external transonic flow under conditions of strong local interaction have been studied. Two kinds of solutions describing the compressi...

    I. I. Lipatov, I. N. Ustinov in Doklady Physics (2018)

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    Article

    Nonlinear Instability in the Region of Laminar-Turbulent Transition in Supersonic Three-Dimensional Flow over a Flat Plate

    Direct numerical simulation is applied to obtain laminar-turbulent transition in supersonic flow over a flat plate. It is shown that, due to the nonlinear instability, Tollmien–Schlichting waves generated in t...

    I. I. Lipatov, R. Ya. Tugazakov in Fluid Dynamics (2018)

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    Article

    An unsteady pseudoshock model for barotropic gas flow

    A mathematical unsteady pseudoshock model describing the continuous transition from supersonic to subsonic flow is constructed for a barotropic gas flow in a long flat channel or a nozzle. The model is based o...

    I. I. Lipatov, V. Yu. Liapidevskii, A. A. Chesnokov in Doklady Physics (2016)

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    Article

    Generation of coherent structures in supersonic flow past a finite-span flat plate

    The formation of coherent structures on a flat plate in a supersonic flow is numerically investigated both in the case of strong shock incidence on the plate and in the problem of oncoming harmonic waves havin...

    I. I. Lipatov, R. Ya. Tugazakov in Fluid Dynamics (2015)

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    Article

    High-pressure layer generation in a compression corner at a supersonic flow velocity

    The results of an experimental and numerical investigation of a three-dimensional laminar separated flow in a compression corner are presented. The freestream Mach number M =6. The model under study is a plate w...

    V. I. Zapryagaev, I. N. Kavun, I. I. Lipatov in Fluid Dynamics (2014)

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    Article

    Mechanism of transverse structure formation in supersonic flow past a body

    Direct numerical simulation within the framework of the Navier-Stokes equations is applied to study the mechanism of the generation of transverse structures (streamwise vortices) in the problem of supersonic M...

    I. I. Lipatov, R. Ya. Tugazakov in Fluid Dynamics (2014)

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    Article

    Decomposition and exact solutions of equations of a weakly compressible barotropic fluid

    I. I. Lipatov, A. D. Polyanin in Doklady Physics (2013)

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    Article

    Disturbance propagation in two-dimensional boundary layers over a movable surface in the strong interaction regime

    The dependence of the eigenvalues characterizing the disturbance propagation in hypersonic boundary layers on the temperature factor and the surface motion velocity is investigated. The eigenvalues are shown t...

    D. Yu. Bogatyrev, I. I. Lipatov in Fluid Dynamics (2011)

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    Article

    Self-induced separation of laminar boundary layer and viscid-inviscid interaction over porous surface

    Local flow in the boundary layer in the vicinity of a porous surface region has been studied. Mathematical models are formulated and similarity parameters are determined using the asymptotic analysis. Numerica...

    D. S. Danilov, I. I. Lipatov, G. Yu. Tolkachev in Technical Physics Letters (2010)

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