Optimum stability of hydrodynamic flows
Abstract
This paper uses the energy theory to analyze the flow stability of an electrically conducting fluid in the presence of a magnetic field. Previous stability results for hydromagnetic flows are extended to include a correlation identity with the aim of studying its effect on the global stability limit. Improved stability limits are obtained for Poiseuille flow in an aligned uniform magnetic field. It is found that in the inviscid limit the magnetic field has no effect while no definite conclusions can be reached in the vanishing magnetic Reynolds number limit.
- Publication:
-
Journal de Mecanique
- Pub Date:
- 1976
- Bibcode:
- 1976JMec...15..713C
- Keywords:
-
- Conducting Fluids;
- Electrical Resistivity;
- Flow Stability;
- Magnetohydrodynamic Flow;
- Optimization;
- Boundary Value Problems;
- Equations Of Motion;
- Inviscid Flow;
- Laminar Flow;
- Magnetic Field Configurations;
- Plasma Physics