Investigation of the Navier-Stokes equation for a stationary flow of an incompressible fluid

1963 ◽  
pp. 173-197 ◽  
Author(s):  
O. A. Ladyženskaja
Keyword(s):  
Incompressible Fluid ◽  
Stokes Equation ◽  
Stationary Flow ◽  
Navier Stokes ◽  
Navier Stokes Equation

scholarly journals Exact Solution for Unsteady Flow of Viscous Incompressible Fluid Over a Suddenly Accelerated Flat Plate (Stokes' First Problem) Using Laplace Transforms

2018 ◽  
Vol 7 (3.6) ◽  
pp. 267
Author(s):  
Spainborlang Kharchandy ◽  
. .
Keyword(s):  
Exact Solution ◽  
Unsteady Flow ◽  
Incompressible Fluid ◽  
Flat Plate ◽  
Stokes Equation ◽  
Viscous Incompressible Fluid ◽  
Laplace Transforms ◽  
Simple Approach ◽  
Navier Stokes ◽  
Navier Stokes Equation

With the Navier-Stokes Equation in Cartesian form (in absence of body forces), Laplace Transforms provides a simple approach towards solving the unsteady flow of a viscous incompressible fluid over a suddenly accelerated flat plate. On comparing the results between  Laplace Transforms and similarity methods, it reveals that Laplace Transforms is simple and effective.

scholarly journals ON THE NAVIER-STOKES EQUATION WITH SLIP BOUNDARY CONDITIONS OF FRICTION TYPE

2007 ◽  
Vol 12 (3) ◽  
pp. 389-398 ◽  
Author(s):  
Fouad Saidi
Keyword(s):  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Variational Inequalities ◽  
Stokes Equation ◽  
Existence And Uniqueness ◽  
Stationary Flow ◽  
Navier Stokes ◽  
Slip Boundary Conditions ◽  
Navier Stokes Equation ◽  
Slip Boundary

In this paper we deal with the boundary value problem for the stationary flow for Newtonian and incompressible fluid governed by the Navier‐Stokes equation with slip boundary conditions of friction type, mostly by means of variational inequalities. Among others, theorems concerning existence and uniqueness of weak solutions are presented.

scholarly journals On the existence of an exact solution of the Navier-Stokes equation pertaining to certain vortex motion

1972 ◽  
Vol 13 (4) ◽  
pp. 456-460
Author(s):  
K. Kuen Tam
Keyword(s):  
Exact Solution ◽  
Incompressible Fluid ◽  
Stokes Equation ◽  
Viscous Incompressible Fluid ◽  
Fluid Motion ◽  
Vortex Motion ◽  
Polar Coordinates ◽  
Navier Stokes ◽  
Navier Stokes Equation ◽  
Cylindrical Polar Coordinates

In 1942, Burgers [1] observed that in cylindrical polar coordinates, the steady Navier-Stokes equation governing viscous incompressible fluid motion can be reduced to a set of ordinary differential equations if the velocity components vr, vo and vz are assumed to have a special form.

Wavelet-distributed approximating functional method for solving the Navier-Stokes equation

1998 ◽  
Vol 115 (1) ◽  
pp. 18-24 ◽  
Author(s):  
G.W. Wei ◽  
D.S. Zhang ◽  
S.C. Althorpe ◽  
D.J. Kouri ◽  
D.K. Hoffman
Keyword(s):  
Stokes Equation ◽  
Functional Method ◽  
Navier Stokes ◽  
Navier Stokes Equation

scholarly journals Generalized Navier–Stokes Equations and Dynamics of Plane Molecular Media

Symmetry ◽  
2021 ◽  
Vol 13 (2) ◽  
pp. 288
Author(s):  
Alexei Kushner ◽  
Valentin Lychagin
Keyword(s):  
Carbon Dioxide ◽  
Internal Structure ◽  
Stokes Equation ◽  
Hydrogen Cyanide ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equation ◽  
Navier Stokes Equations

The first analysis of media with internal structure were done by the Cosserat brothers. Birkhoff noted that the classical Navier–Stokes equation does not fully describe the motion of water. In this article, we propose an approach to the dynamics of media formed by chiral, planar and rigid molecules and propose some kind of Navier–Stokes equations for their description. Examples of such media are water, ozone, carbon dioxide and hydrogen cyanide.

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