The impossibility of steady screw motions of a navierstokes fluid
Abstract
It is demonstrated that no steady rotational screw motions exist for a NavierStokes fluid. The proof employs the condition that the unit vector tangent to the streamline is solenoidal.
 Publication:

Archive for Rational Mechanics and Analysis
 Pub Date:
 March 1979
 DOI:
 10.1007/BF00276381
 Bibcode:
 1979ArRMA..70...47M
 Keywords:

 Flow Theory;
 Incompressible Fluids;
 NavierStokes Equation;
 Differential Equations;
 Functionals;
 Integral Equations;
 Laminar Flow;
 Polynomials;
 Vectors (Mathematics);
 Fluid Mechanics and Heat Transfer