Results 1 to 10 of about 132 (125)

Time-periodic Poiseuille-type solution with minimally regular flow rate

open access: yesNonlinear Analysis, 2021
The nonstationary Navier–Stokes equations are studied in the infinite cylinder Π = {x = (x', xn) ∈ Rn:  x' ∈ σ ∈ R n – 1: – ∞ < xn < ∞, n = 2, 3} under the additional condition of the prescribed time-periodic flow-rate (flux) F(t). It is assumed that the
Kristina Kaulakytė   +2 more
doaj   +1 more source

Non-stationary Navier–Stokes equations in 2D power cusp domain

open access: yesAdvances in Nonlinear Analysis, 2021
The initial boundary value problem for the non-stationary Navier-Stokes equations is studied in 2D bounded domain with a power cusp singular point O on the boundary. The case of the boundary value with a nonzero flow rate is considered.
Pileckas Konstantin, Raciene Alicija
doaj   +2 more sources

Spectral discretization of time-dependent vorticity–velocity–pressure formulation of the Navier–Stokes equations

open access: yesBoundary Value Problems, 2020
In this work, we propose a nonstationary Navier–Stokes problem equipped with an unusual boundary condition. The time discretization of such a problem is based on the backward Euler’s scheme.
Mohamed Abdelwahed, Nejmeddine Chorfi
doaj   +1 more source

Dirichlet problems for a nonstationary linearized system of Navier–Stokes equations in non-cylindrical domains [PDF]

open access: yesMethods and Applications of Analysis, 2002
The authors consider \(L_2\)-boundary value problems for the instationary Stokes system over non-smooth time-varying infinite cylinders. Results on solvability, uniqueness, and regularity are obtained for Dirichlet and Neumann type boundary conditions via the study of parabolic layer potentials.
Hofmann, Steve, Nyström, Kaj
openaire   +2 more sources

A nonoverlapping DDM for the nonstationary Navier‐Stokes problem

open access: yesZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2001
AbstractWe consider the nonstationary incompressible Navier‐Stokes problem in a bounded domain. A semidiscretization in time followed by a linearization procedure lead to Oseen type problems. For an efficient solution we take advantage of a nonoverlapping domain decomposition method (DDM) with interface conditions of Robin type.
Mueller, L., Lube, Gert
openaire   +3 more sources

ε-Аpproximation of the temperatures model of inhomogeneous melts with allowance for energy dissipation

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2018
Accumulated facts and information about the Navier-Stokes equations, together with a large number of experiments and approximate calculations, made it possible to reveal some discrepancies between the mathematical model of a viscous melt and real ...
S.Sh. Kazhikenova   +3 more
doaj   +1 more source

Free boundary problems for nonstationary Navier–Stokes equations [PDF]

open access: yesDissertationes Mathematicae, 2004
The paper contains a detailed survey of nonstationary free boundary problems for equations of motion of both incompressible and compressible viscous fluids for the last twenty years. The following two problems are considered. The first is the problem of describing the motion of an isolated mass of a viscous fluid bounded by a free surface.
openaire   +2 more sources

FEATURES OF MODELING THE FLOW AROUND THE HELICOPTER MAIN ROTOR TAKING INTO ACCOUNT ARBITRARY BLADES MOTION

open access: yesНаучный вестник МГТУ ГА, 2019
The article considers the problem of the flow around the helicopter main rotor taking into account blades flapping in the plane of rotation and in the plane of thrust as well as the elastic blades deformation.
V. A. Vershkov   +2 more
doaj   +1 more source

Heat transfer in heated industrial premises with using radiant heating system

open access: yesMATEC Web of Conferences, 2017
The results of mathematical modeling of heat transfer processes in a closed air volume surrounded by enclosing constructions, heated by supplying energy to the upper contour of gas infrared radiators are represented.
Nagornova Tatiana A.   +1 more
doaj   +1 more source

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