Author
G. B. Sizykh
Other affiliations: Russian Academy of Sciences, Moscow Aviation Institute
Bio: G. B. Sizykh is an academic researcher from Moscow Institute of Physics and Technology. The author has contributed to research in topics: Vorticity & Vortex. The author has an hindex of 5, co-authored 20 publications receiving 66 citations. Previous affiliations of G. B. Sizykh include Russian Academy of Sciences & Moscow Aviation Institute.
Papers
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TL;DR: In this paper, an expression for the integral of the equations of plane-parallel viscous incompressible flow expressing conservation of the Bernoulli function along a certain family of lines which, as the viscosity tends to zero, go over into the streamlines.
Abstract: An expression is obtained for the integral of the equations of plane-parallel viscous incompressible flow expressing conservation of the Bernoulli function along a certain family of lines which, as the viscosity tends to zero, go over into the streamlines. These lines also determine the direction of transfer of the vorticity of the viscous flow.
17 citations
TL;DR: In this paper, it is proved that in any vortex flow of a liquid or a gas the vorticity evolution can be considered as the displacement of vortex tubes at a certain velocity U which generally is not the same as the fluid velocity.
Abstract: It is proved that in any vortex flow of a liquid or a gas the vorticity evolution can be considered as the displacement of vortex tubes at a certain velocity U which generally is not the same as the fluid velocity. For a viscous incompressible fluid a technique of calculating U from the fluid velocity field is proposed.
9 citations
TL;DR: In this paper, the authors investigated 3D stationary flows behind a detached bow shock produced in a supersonic flow around a body with a smooth convex bow and showed that the streamline that ends at the front stagnation point on the body (the stagnation streamline) is shown to cross the bow shock at the point where the plane tangent to it is perpendicular to the free stream direction.
Abstract: In this study, using the Euler equations, we investigate 3D stationary flows behind a detached bow shock produced in a supersonic flow around a body with a smooth convex bow. The supersonic free stream was considered to be uniform. Maximal entropy on the body surface is substantiated. The streamline that ends at the front stagnation point on the body (the stagnation streamline) is shown to cross the bow shock at the point where the plane tangent to it is perpendicular to the free stream direction. This means that the entropy value on the body surface is calculated by the free stream parameters and is equal to the entropy value behind a normal shock at the point of the stagnation streamline onset.
8 citations
TL;DR: In this paper, the existence of helical vortex lines on the surface of revolution homeomorphic to a torus is investigated in a steady and unsteady swirling axisymmetric flow of a homogeneous viscous incompressible fluid.
Abstract: This paper considers the steady and unsteady swirling axisymmetric flows of a homogeneous viscous incompressible fluid. The possibility of the existence of helical vortex lines on the surface of revolution homeomorphic to a torus is investigated. An example of unsteady flow in which there are helical vortex lines is given. It is proved that the existence of helical vortex lines lying on the surface of revolution homeomorphic to a torus is impossible in a steady axisymmetric flow of a viscous incompressible fluid.
6 citations
TL;DR: In this paper, a new solution for the Navier-Stokes equations has been found for a plane steady-state shear flow of a viscous gas in the gravity field between two vertical walls.
Abstract: A new solution for the Navier–Stokes equations has been found for a plane steady-state shear flow of a viscous gas in the gravity field between two vertical walls. For the temperature dependence of the viscosity factor, Sutherland’s formula is accepted; for the heat conductivity factor, two formulas with the same accuracy are used: a known formula for low temperatures (170–1000 K) and a first-proposed formula for high temperatures (800–1500 K). In each of these temperature ranges, a general solution for the Navier–Stokes equations has been obtained. The solution is expressed in terms of a function which satisfies an ordinary second order differential equation having different forms for low and high temperatures depending on the chosen formula for heat conductivity. For low temperatures, the solution of this equation is obtained numerically; for high temperatures, owing to using the new formula for heat conductivity, analytically. Examples of exact solutions are presented.
5 citations
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TL;DR: In this article, the authors present a review of featured works in the field of hydrodynamics with the main aim to clarify the ways of understanding the algorithms for solving the Navier-Stokes equations.
26 citations
TL;DR: In this paper, the authors explore the case of non-stationary helical flows of the Navier-Stokes equations for incompressible fluids with variable (spatially dependent) coefficient of proportionality between velocity and the curl field of flow.
Abstract: In this paper, we proceed exploring the case of non-stationary helical flows of the Navier-Stokes equations for incompressible fluids with variable (spatially dependent) coefficient of proportionality between velocity and the curl field of flow. Meanwhile, the system of Navier-Stokes equations (including continuity equation) has been successfully explored previously with respect to the existence of analytical way for presentation of non-stationary helical flows of the aforementioned type. The main motivation of the current research is the exploring the stability of previously obtained helical flows. Conditions for the stability criteria of the exact solution for the aforementioned type of flows are obtained, for which non-stationary helical flow with invariant Bernoulli-function is considered. As it has been formulated before, the spatial part of the pressure field of the fluid flow should be determined via Bernoulli-function, if components of the velocity of the flow are already obtained.
20 citations
19 Jun 2020
TL;DR: Burmasheva et al. as discussed by the authors presented a simulation of isothermal layered flows of a viscous incompressible fluid with spatial acceleration in the case of three Coriolis parameters.
Abstract: Burmasheva N. V., Prosviryakov E. Yu. Isothermal layered flows of a viscous incompressible fluid with spatial acceleration in the case of three Coriolis parameters // Diagnostics, Resource and Mechanics of materials and structures. – 2020. – Iss. 3. – P. 29-46. – DOI: 10.17804/2410-9908.2020.3.029-046. Received: 30.04.2020 Revised: 01.06.2020 Accepted: 19.06.2020 DOI: 10.17804/2410-9908.2020.3.029-046
19 citations
TL;DR: In this article, conditions for the existence of the exact solution for the aforementioned type of flows are obtained, for which non-stationary helical flow with invariant Bernoulli -function is considered.
18 citations
TL;DR: In this paper, the authors used X-ray imaging, scanning electron microscopy, and optical microscopy to assess pore number and size in AlSi9Cu3 castings prepared with three different absolute pressures.
13 citations