Exact Solutions Of The Navier-Stokes
Equations

R.A. Ross

doi:10.2495/AFM000391

Exact Solutions Of The Navier-Stokes Equations

Price

Free (open access)

Transaction

WIT Transactions on Engineering Sciences

Volume

Pages

Published

2000

Size

213 kb

Paper DOI

10.2495/AFM000391

WIT Press

Author(s)

R.A. Ross

Abstract

This paper discusses exact solutions of the Navier-Stokes equations. The flow is time-independent and axisymmetric, and the fluid is viscous and incompressible. The flow is generated by a semi-infinite line source perpendicular to an infinite plane boundary, on which the no-slip boundary conditions are satisfied. 1 Exact solution of the time-independent Navier- Stokes equations The Navier-Stokes Equations written in terms of spherical polar co- ordinates are du vdu v* I dp / o 2% 2 dv 2vcotO dv vdv uv 1 dp / 2 du sin# < where (3)

Keywords

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Code

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