The impossibility of steady screw motions of a navier-stokes fluid
Abstract
It is demonstrated that no steady rotational screw motions exist for a Navier-Stokes 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:
- Bibcode:
- 1979ArRMA..70...47M
- Keywords:
-
- Flow Theory;
- Incompressible Fluids;
- Navier-Stokes Equation;
- Differential Equations;
- Functionals;
- Integral Equations;
- Laminar Flow;
- Polynomials;
- Vectors (Mathematics);
- Fluid Mechanics and Heat Transfer;
- Neural Network;
- Complex System;
- Nonlinear Dynamics;
- Electromagnetism;
- Screw Motion