Optimal control of flow of a viscous incompressible fluid
Abstract
Flow of a viscous incompressible fluid past an arbitrary body, with tangential or normal velocity being controlled on its surface, is analyzed using Navier-Stokes equations. The necessary conditions for minimum energy dissipation rate are derived. Exact analytical solutions for the corresponding problems in the case of flow past an ellipsoid are obtained using the Stokes approximation.
- Publication:
-
Prikladnaia Matematika i Mekhanika
- Pub Date:
- December 1984
- Bibcode:
- 1984PriMM..48..929B
- Keywords:
-
- Aerodynamic Configurations;
- Boundary Layer Control;
- Flow Velocity;
- Incompressible Flow;
- Optimal Control;
- Viscous Flow;
- Blowing;
- Computational Fluid Dynamics;
- Ellipsoids;
- Energy Dissipation;
- Navier-Stokes Equation;
- Stokes Flow;
- Suction;
- Fluid Mechanics and Heat Transfer