Periodic Solutions in $\mathbb R^n$ for Stationary Anisotropic Stokes and Navier-Stokes Systems [PDF]
, 2022 First, the solution uniqueness and existence of a stationary anisotropic (linear) Stokes system with constant viscosity coefficients in a compressible framework on $n$-dimensional flat torus are analysed in a range of periodic Sobolev (Bessel-potential ...
Mikhailov, Sergey E.
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THREE-DIMENSIONAL NAVIER-STOKES EVOLUTIONARY PROBLEM: A PARTICULAR BERNOULLI SOLUTION
, 2023 This note presents a three-dimensional evolutionary Navier-Stokes problem solution. We use a vector field that satisfies the stationary operator to investigate the structure of the evolutionary problem.
José Ignacio Hernández López
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Calculation of Pressure Pulsations in the Flow Part of the First Stage of an Axial Turbine in the Rotor-Stator Interaction Zone [PDF]
E3S Web of Conferences, 2021 A serious problem in the development of reusable liquid-propellant rocket engines (LRE) is the provision of a high resource and reliability of gas turbines of turbopump, which supply fuel to the combustion chamber.
Timushev S. F., Kondratov A. V.
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On the Nusselt Solution of a Nonisothermal Two-Fluid Inclined Film Flow
International Journal of Mathematics and Mathematical Sciences, 2009 Nonisothermal viscous two-fluid flows occur in numerous kinds of coating devices. The corresponding mathematical models often represent two-dimensional free boundary value problems for the Navier-Stokes equations or their modifications.
Jürgen Socolowsky
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The Human Comfort Level in an Energy-Saving Simulation Model of Office Building [PDF]
E3S Web of Conferences, 2020 Currently high attention is drawn to the studies of the influence of pulsating flow to the heat transfer. Such unsteady flows can be created artificially or may appear during the operation of the thermal energy equipment.
Dzelzitis Egils, Sidenko Sandra
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Mathematics, 2023 The analysis of bifurcations and chaotic dynamics for nonlinear systems of a large size is a difficult problem. Analytical and numerical approaches must be used to deal with this problem.
Nikolay M. Evstigneev +1 more
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Adaptive time-stepping for incompressible flow. Part II: Navier-Stokes equations [PDF]
, 2010 We outline a new class of robust and efficient methods for solving the Navier–Stokes equations. We describe a general solution strategy that has two basic building blocks: an implicit time integrator using a stabilized trapezoid rule with an explicit ...
Kay, David A. +5 more
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Flow development region in the boundary layer: two-component molecular viscosity and partial slip
Авіаційно-космічна техніка та технологія, 2023 The subject of this study is the flow development region of laminar incompressible fluid flow in the boundary layer. This flow is an example where a direct application of the Navier-Stokes equations of gradient-free laminar incompressible fluid flow, in ...
Pavlo Lukianov, Lin Song
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On a free boundary problem for the stationary Navier-Stokes equations [PDF]
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 1987 We investigate stationary flows in a fluid body together with its free boundary. The fluid is assumed to be viscous and incompressible; the free boundary is governed by continuity of the normal stress. Hence the configuration to be considered here can be regarded as a generalization of a classical equilibrium figure.
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Stationary Stokes, Oseen and Navier-Stokes equations with singular data [PDF]
, 2010 56 pagesThe concept of very weak solution introduced by Giga [20] for the Stokes equations has been hardly studied in the last years for either the Navier-Stokes equations or the Navier-Stokes type equations.
Amrouche, Chérif +1 more
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