Title :
Electrically coupled hydrodynamic flows
Author :
Stricklett, K.L.
Author_Institution :
Dept. of Commerce, Technol. Adm., Nat. Inst. of Stand. & Technol., Gaithersburg, MD, USA
Abstract :
The application of gauge field theories to electrically coupled hydrodynamic flows is examined. Consideration of the gauge potentials associated with the equation of state constrain the equations of motion and reduce phase space to specific topological manifolds. The analysis presented suggests that the flow field associated with the steady-state convection of a fluid has solutions in the cohomology group H3(T2×S1,Y). In the case of electrically driven convection flows, if the applied electromagnetic field is periodic with period 2π, the steady-state flow field is periodic with period 4π
Keywords :
Maxwell equations; convection; differential geometry; electrohydrodynamics; gauge field theory; partial discharges; Maxwell equations; applied electromagnetic field; cavitation; charge coupled flow; cohomology group; electrically coupled hydrodynamic flows; electrically driven convection flows; equation of state; equations of motion; flow field; four-dimensional space; gauge field theories; gauge potentials; partial discharge; phase space reduction; steady-state convection; thermodynamic space; topological manifolds; Couplings; Electrokinetics; Electromagnetic fields; Hydrodynamics; Insulation; Maxwell equations; NIST; Partial discharges; Topology; US Department of Commerce;
Conference_Titel :
Electrical Insulation and Dielectric Phenomena, 2000 Annual Report Conference on
Conference_Location :
Victoria, BC
Print_ISBN :
0-7803-6413-9
DOI :
10.1109/CEIDP.2000.885229
