Excitation and propagation of nonlinear waves in a rotating fluid
Abstract
A numerical study of the nonlinear waves excited in an axisymmetric rotating flow through a circular tube is described. The waves are excited by either an undulation of the tube wall or an obstacle on the axis of the tube. The results are compared with the weakly nonlinear theory (forced KdV equation). The computations are done when the upstream swirling velocity is that of Burgers' vortex type. The flow behaves like the solution of the forced KdV equation, and the upstream advancing of the waves appear even when the flow is critical or slightly supercritical to the fastest inertial wave mode.
 Publication:

6th National Symposium on Computational Fluid Dynamics
 Pub Date:
 September 1993
 Bibcode:
 1993cfd..proc..675H
 Keywords:

 Axisymmetric Flow;
 Circular Tubes;
 Incompressible Flow;
 Pipe Flow;
 Rotating Fluids;
 Stokes Flow;
 Vortices;
 Wave Propagation;
 Computerized Simulation;
 Mathematical Models;
 NavierStokes Equation;
 Numerical Analysis;
 Fluid Mechanics and Heat Transfer