J. Phys. Colloques
Volume 47, Numéro C2, Mars 198632 nd International Field Emission Symposium / 32ème Symposium International d'Emission de Champ
|Page(s)||C2-87 - C2-93|
J. Phys. Colloques 47 (1986) C2-87-C2-93
THE EFFECTS OF GRAVITATIONAL AND HYDROSTATIC PRESSURE ON THE EQUILIBRIUM SHAPE OF A CONDUCTING FLUID IN AN ELECTRIC FIELD : APPLICATION TO LIQUID METAL ION SOURCESP.H. CUTLER1, M. CHUNG2, T.E. FEUCHTWANG2 et E. KAZES2
1 University of Oxford, Department of Metallurgy and Science of Materials, Parks Road, GB-Oxford OX1 3PH, Great Britain
2 Department of Physics, The Pennsylvania State University, University Park, Pennsylvania 16802, U.S.A.
We have derived a partial differential equation that can be solved explicitly for the equilibrium shape of an electrostatically stressed fluid subject to gravitational and hydrostatic pressure effects. The model assumes only axial symmetry, the Laplace stress conditions for mechanical equilibrium and conservation of volume before onset of instability. To obtain the sequence of deformed surfaces as a function of applied voltage, we use the capillary wave model and an iterative procedure to solve Laplace's equation for arbitrary geometry. Initial numerical results demonstrate the importance of pressure in obtaining stable equilibrium configurations.