Falling Plates (Part II): Modeling of Forces and Moments
Abstract
In special cases the governing equations for a solid body falling through a fluid can be reduced to ordinary differential equations describing the motion of the body. Classical results exist, e.g., for a rigid body falling in an incompressible, inviscid, and irrotational fluid, and phenomenological models have been suggested for problems where both inertial and viscous effects are important. Motivated by experimental results and numerical solutions of the Navier-Stokes equations, we propose an ODE model of falling plates in a two-dimensional fluid at intermediate Reynolds numbers. We describe the trajectories and the coupling between translational and rotational degrees of freedom and its role in the dynamics.
- Publication:
-
APS Division of Fluid Dynamics Meeting Abstracts
- Pub Date:
- November 2003
- Bibcode:
- 2003APS..DFD.AE008A