International Journal of Mathematics and Mathematical Sciences
Volume 17 (1994), Issue 1, Pages 155-164
doi:10.1155/S0161171294000219
Flow for chosen vorticity functions -- exact solutions of the Navier- Stokes equations
O.P. Chandna
and E.O. Oku-Ukpong
Department of Mathematics and Statistics and Fluid Dynamics Research Institute, University of Windsor, Ontario, Windsor N9B 3P4, Canada
Abstract
Solutions are obtained for the equations of the motion of the steady incompressible viscous planar generalized Beltrami flows when the vorticity distribution is given by ∇2ψ=ψ+f(x,y) for three chosen forms of f(x,y).