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Non-Stationary Helical Flows for Incompressible Couple Stress Fluid [PDF]

open access: goldMathematics, 2023
We explored here the case of three-dimensional non-stationary flows of helical type for the incompressible couple stress fluid with given Bernoulli-function in the whole space (the Cauchy problem).
Sergey V. Ershkov   +3 more
doaj   +4 more sources

On a new type of non-stationary helical flows for incompressible 3D Navier-Stokes equations

open access: goldJournal of King Saud University - Science, 2020
Abstract In fluid mechanics, a lot of authors have been executing their researches to obtain the analytical solutions of Navier-Stokes equations. But there is an essential deficiency of non-stationary solutions indeed. In our presentation, we proceed exploring the case of non-stationary helical flows of the Navier-Stokes equations for ...
Sergey V. Ershkov   +2 more
openaire   +2 more sources

Existence criterion for the equations solution of ideal gas motion at given helical velocity [PDF]

open access: yesИзвестия высших учебных заведений: Прикладная нелинейная динамика, 2020
Purpose of the study is to obtain a criterion for existence of stationary solution of the complete system of equations describing the flow of ideal perfect gas for a given non-solenoidal helical velocity field.
Markov, Vladimir Vasil'evich   +1 more
doaj   +1 more source

Numerical study of dynamical system generated by CABC vector field [PDF]

open access: yesИзвестия высших учебных заведений: Прикладная нелинейная динамика, 2020
Purpose of this study is to construct a helical vector field and analyze the dynamical system generated by it. Classic example of such field is the ABC (Arnold–Beltrami–Childress) flow, which is equations stationary solution of the dynamics of ideal ...
Govorukhin, V. N.
doaj   +1 more source

Anisotropic Wave Turbulence for Reduced Hydrodynamics with Rotationally Constrained Slow Inertial Waves

open access: yesFluids, 2017
Kinetic equations for rapidly rotating flows are developed in this paper using multiple scales perturbation theory. The governing equations are an asymptotically reduced set of equations that are derived from the incompressible Navier-Stokes equations ...
Amrik Sen
doaj   +1 more source

On a new type of non-stationary helical flows for incompressible couple stress fluid

open access: yes, 2018
17 pages, 5 figures; Keywords: couple stress fluid, micropolar fluid, bipolar vector Laplacian, non-stationary helical flow, Beltrami ...
Ershkov, Sergey V.   +3 more
openaire   +2 more sources

Quantitative magnetohydrodynamic modelling of flux pumping in ASDEX Upgrade

open access: yesNuclear Fusion
The sawtooth-free hybrid scenario has been achieved recently in ASDEX Upgrade (AUG) with applied non-inductive current sources and auxiliary heating (Burckhart et al 2023 Nucl. Fusion 63 126056).
Haowei Zhang   +11 more
doaj   +1 more source

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