Efficient and Highly Accurate Computation of a Class of Radially Symmetric Solutions of the Navier–Stokes Equation and the Heat Equation in Two Dimensions

1998 ◽  
Vol 142 (2) ◽  
pp. 428-444
Author(s):  
Henrik O. Nordmark
Keyword(s):  
Heat Equation ◽  
Stokes Equation ◽  
Two Dimensions ◽  
Navier Stokes ◽  
Navier Stokes Equation ◽  
Accurate Computation ◽  
Radially Symmetric Solutions

An exact solution of the Navier-Stokes equation which describes non-orthogonal stagnation-point flow in two dimensions

1986 ◽  
Vol 163 ◽  
pp. 141-147 ◽  
Author(s):  
J. M. Dorrepaal
Keyword(s):  
Exact Solution ◽  
Stagnation Point ◽  
Stokes Equation ◽  
Similarity Solution ◽  
Two Dimensions ◽  
Navier Stokes ◽  
Angle Of Incidence ◽  
Arbitrary Angle ◽  
Navier Stokes Equation ◽  
Flat Wall

A similarity solution is found which describes the flow impinging on a flat wall at an arbitrary angle of incidence. The technique is similar to a method used by Jeffery (1915) and discussed more recently by Peregrine (1981).

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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