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