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This paper investigates the nature of the development of two-dimensional laminar flow of an incompressible fluid at the reversed stagnation-point. ". In this study, we revisit the problem of reversed stagnation-point flow over a flat plate.…

Fluid Dynamics · Physics 2013-02-14 Vai Kuong Sin , Chon Kit Chio

This paper investigates the nature of the development of two-dimensional steady flow of an incompressible fluid at the rear stagnation-point.

Fluid Dynamics · Physics 2013-02-11 Chio Chon Kit

Exploring the possibility of describing a fluid flow via a time-reversible equation and its relevance for the fluctuations statistics in stationary turbulent (or laminar) incompressible Navier-Stokes flows.

Fluid Dynamics · Physics 2019-07-08 Giovanni Gallavotti

We provide a integration of Navier-Stokes equations concerning the unsteady-state laminar flow of an incompressible, isothermal (newtonian) fluid in a cylindrical vessel spinning about its symmetry axis, say $z$, and inside which the liquid…

Fluid Dynamics · Physics 2016-12-14 Alessio Bocci , Giovanni Mingari Scarpello , Daniele Ritelli

We demonstrate the results of the numerical modelling of a plane two-dimensional viscous incompressible flow in a channel with a back-step. As a mathematical model we take equations for a incompressible flow based on the quasi-hydrodynamic…

Mathematical Physics · Physics 2007-05-23 T. G. Elizarova , I. S. Kalachinskaya , Yu. V. Sheretov

In general, before separating from a boundary, the flow moves toward reverse direction near the boundary against the laminar flow direction. Here in this paper, a clue to such reverse flow phenomena (in the mathematical sense) is observed.…

Analysis of PDEs · Mathematics 2012-06-25 Tsuyoshi Yoneda

In the paper we prove the existence results for initial-value boundary value problems for compressible isothermal Navier-Stokes equations. We restrict ourselves to 2D case of a problem with no-slip condition for nonstationary motion of…

Analysis of PDEs · Mathematics 2014-07-11 P. I. Plotnikov , W. Weigant

This paper investigates the nature of the development of vortex shedding for two-dimensional unsteady flow of an incompressible fluid at the rear stagnation point.

Fluid Dynamics · Physics 2026-03-03 Chon Kit Chio

We consider the Navier-Stokes system with Oseen and rotational terms describing the stationary flow of a viscous incompressible fluid around a rigid body moving at a constant velocity and rotating at a constant angular velocity. In a…

Analysis of PDEs · Mathematics 2015-11-13 Paul Deuring , Stanislav Kracmar , Sarka Necasova

A plane non-parallel vortex flow in a square fluid domain is examined. The energy dissipation of the flow is dominated by viscosity and linear friction effect of a Hartmann layer. This is a traditional Navier-Stokes flow when the linear…

Analysis of PDEs · Mathematics 2021-09-28 Zhi-Min Chen

In fluid mechanics, a lot of authors have been executing their researches to obtain the analytical solutions of Navier-Stokes equations, even for 3D case of compressible gas flow or 3D case of non-stationary flow of incompressible fluid.…

Analysis of PDEs · Mathematics 2015-12-07 Sergey V. Ershkov

We consider a thermodynamically consistent diffuse interface model describing two-phase flows of incompressible fluids in a non-isothermal setting. This model was recently introduced in a previous paper of ours, where we proved existence of…

Analysis of PDEs · Mathematics 2014-06-09 Michela Eleuteri , Elisabetta Rocca , Giulio Schimperna

Linearized stability of incompressible viscous fluid flows in a thin spherical shell is studied by using the two-dimensional Navier--Stokes equations on a sphere. The stationary flow on the sphere has two singularities (a sink and a source)…

Classical Analysis and ODEs · Mathematics 2009-11-11 Ranis N. Ibragimov , Dmitry E. Pelinovsky

The stability of a two-dimensional viscous flow between two rotating porous cylinders is studied. The basic steady flow is the most general rotationally-invariant solution of the Navier-Stokes equations in which the velocity has both radial…

Fluid Dynamics · Physics 2015-06-18 Konstantin Ilin , Andrey Morgulis

The Navier-Stokes equations describing laminar flow of an incompressible fluid will be solved. Different group of general solutions for Navier stokes equations governing Laminar incompressible fluids will be derived.

Fluid Dynamics · Physics 2007-05-23 Saeed Otarod , Davar Otarod

The purpose of this paper is to extend the versatile mixed methods originally developed by Chen and Williams for isothermal flows in "Versatile Mixed Methods for the Incompressible Navier-Stokes Equations," Computers & Mathematics with…

Computational Physics · Physics 2020-07-20 Edward A. Miller , Xi Chen , David M. Williams

We study the two-dimensional stationary Navier-Stokes equations describing the flows around a rotating obstacle. The unique existence of solutions and their asymptotic behavior at spatial infinity are established when the rotation speed of…

Analysis of PDEs · Mathematics 2018-01-17 Mitsuo Higaki , Yasunori Maekawa , Yuu Nakahara

We study the statistical properties of stationary, isotropic and homogeneous turbulence in two-dimensional (2D) flows, focusing on the direct cascade, that is on wave-numbers large compared to the integral scale, where both energy and…

Statistical Mechanics · Physics 2024-08-29 Malo Tarpin , Léonie Canet , Carlo Pagani , Nicolás Wschebor

We consider the non-isentropic compressible Navier-Stokes equation in a perturbed half space with an outflow boundary condition as well as the supersonic condition. This equation models a compressible viscous, heat-conductive, and Newtonian…

Analysis of PDEs · Mathematics 2024-10-21 Mingjie Li , Masahiro Suzuki , Katherine Zhiyuan Zhang

This communication is devoted to the presentation of our recent results regarding the asymptotic analysis of a viscous flow in a tube with elastic walls. This study can be applied, for example, to the blood flow in an artery. With this aim,…

Analysis of PDEs · Mathematics 2017-03-14 G. Castiñeira , J. M. Rodríguez
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