Motion of a vortex pair between parallel walls
Abstract
Complexvariable function theory methods are used to investigate the motion of two point vortices between parallel walls. An exact integration solution is obtained with an additional integral of motion (momentum) due to the translational invariance of the system with respect to displacements parallel to the walls. Examples of several trajectory types are numerically calculated. The solution of the problem reduces to an exact integration of unsteady ideal fluid flow, and is of a purely kinematic character.
 Publication:

PMTF Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki
 Pub Date:
 October 1983
 Bibcode:
 1983PMTF........62G
 Keywords:

 Computational Fluid Dynamics;
 Parallel Plates;
 Vortices;
 Wall Flow;
 Complex Variables;
 Equations Of Motion;
 Numerical Integration;
 Fluid Mechanics and Heat Transfer