Results 11 to 20 of about 223,865 (275)

A Liouville theorem for the planer Navier-Stokes equations with the no-slip boundary condition and its application to a geometric regularity criterion [PDF]

open access: yes, 2013
We establish a Liouville type result for a backward global solution to the Navier-Stokes equations in the half plane with the no-slip boundary condition. No assumptions on spatial decay for the vorticity nor the velocity field are imposed.
Giga, Yoshikazu   +2 more
core   +2 more sources

Low Mach number limit for the compressible Navier–Stokes equations with density-dependent viscosity and vorticity-slip boundary condition

open access: yesBoundary Value Problems, 2020
In this paper, we consider the three-dimensional compressible Navier–Stokes equations with density-dependent viscosity and vorticity-slip boundary condition in a bounded smooth domain.
Dandan Ren, Yunting Ding, Xinfeng Liang
doaj   +1 more source

Analysis of the Multi-Dimensional Navier–Stokes Equation by Caputo Fractional Operator

open access: yesFractal and Fractional, 2022
In this article, we investigate the solution of the fractional multidimensional Navier–Stokes equation based on the Caputo fractional derivative operator. The behavior of the solution regarding the Navier–Stokes equation system using the Sumudu transform
Kholoud Saad Albalawi   +2 more
doaj   +1 more source

On the stationary Navier-Stokes flow with isotropic streamlines in all latitudes on a sphere or a 2D hyperbolic space [PDF]

open access: yes, 2013
In this paper, we show the existence of real-analytic stationary Navier-Stokes flows with isotropic streamlines in all latitudes in some simply-connected flow region on a rotating round sphere.
Chan, Chi Hin, Yoneda, Tsuyoshi
core   +2 more sources

Comments on the Navier–Stokes Problem

open access: yesAxioms, 2021
The aim of this paper is to explain for broad audience the author’s result concerning the Navier–Stokes problem (NSP) in R3 without boundaries. It is proved that the NSP is contradictory in the following sense: if one assumes that the initial data v(x,0)≢
Alexander G. Ramm
doaj   +1 more source

Theory of Drop Formation [PDF]

open access: yes, 1994
We consider the motion of an axisymmetric column of Navier-Stokes fluid with a free surface. Due to surface tension, the thickness of the fluid neck goes to zero in finite time.
Bechtel S. E.   +5 more
core   +2 more sources

Recasting Navier–Stokes equations

open access: yesJournal of Physics Communications, 2019
Abstract Classical Navier–Stokes equations fail to describe some flows in both the compressible and incompressible configurations. In this article, we propose a new methodology based on transforming the fluid mass velocity vector field to obtain a new class of continuum models.
M H Lakshminarayana Reddy   +4 more
openaire   +3 more sources

Two-Level Iteration Penalty Methods for the Navier-Stokes Equations with Friction Boundary Conditions

open access: yesAbstract and Applied Analysis, 2013
This paper presents two-level iteration penalty finite element methods to approximate the solution of the Navier-Stokes equations with friction boundary conditions.
Yuan Li, Rong An
doaj   +1 more source

Revisiting the Reynolds-averaged Navier–Stokes equations

open access: yesOpen Physics, 2022
This study revisits the Reynolds-averaged Navier–Stokes (RANS) equations and finds that the existing literature is erroneous regarding the primary unknowns and the number of independent unknowns in the RANS. The literature claims that the Reynolds stress
Sun Bohua
doaj   +1 more source

Experimental Assessment of RANS Models for Wind Load Estimation over Solar-Panel Arrays

open access: yesApplied Sciences, 2021
This paper reports a comparison between wind-tunnel measurements and numerical simulations to assess the capabilities of Reynolds-Averaged Navier-Stokes models to estimate the wind load over solar-panel arrays. The free airstream impinging on solar-panel
Alejandro Güemes   +2 more
doaj   +1 more source

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