Title :
Numerical Modeling of Finite Amplitude Convection of Liquids Subjected to Unipolar Injection
Author :
Castellanos, Antonio ; Atten, Pierre
Author_Institution :
Departmento de Electricidad y Electronica, Facultad de Fisica, Avda. Reina Mercedes, s/n, 41012, Sevilla, Spain.
Abstract :
The unipolar injection stability problem is characterized by a hysteresis loop between nonlinear and linear stability criteria. The problem of determining the corresponding finite amplitude convective solution is investigated for rolls in the weak injection case, taking into account the peculiarities of the charge conservation equation and the possible nonstationary character of the flow. The results of three different approaches (finite difference method, approximate analytical solution, and particle-type method) are presented and discussed.
Keywords :
Conductivity; Electrodes; Finite difference methods; Hysteresis; Industry Applications Society; Liquids; Nonlinear equations; Numerical models; Space charge; Stability criteria;
Journal_Title :
Industry Applications, IEEE Transactions on
DOI :
10.1109/TIA.1987.4504990