Title :
Convective instability of dielectric liquid subjected to unipolar injection of charge trough free surface
Author :
Birikh, R.V. ; Lyushnin, A.V.
Author_Institution :
State Pedagogical Univ., Perm, Russia
Abstract :
A problem for the Marangoni instability in a liquid layer subjected to an injection of ions is studied. The eigenvalue problem obtained after the linearization of the governing equations is solved by using the Runge-Kutta-Merson´s method of fourth order. When an upper surface is deformable, we found that both stationary and oscillatory instabilities may occur. Two kinds of stationary instabilities have been detected. The corresponding critical wave number k, the Marangoni number Ma and electrical analog of the Rayleigh number Ra have been obtained numerically. Besides, we have revealed two types of wave instability: the gravity-capillar wave and thermocapillary wave with non-zero frequency ω at k=0
Keywords :
Runge-Kutta methods; convection; dielectric liquids; flow; flow instability; Marangoni instability; Marangoni number; Rayleigh number; Runge-Kutta-Merson method; charge trough free surface; convective instability; critical wave number; dielectric liquid; eigenvalue; gravity-capillary wave; ion injection; linearization; oscillatory instability; stationary instability; thermocapillary wave; unipolar injection; Dielectric liquids; Electric potential; Equations; Kinetic theory; Resistance heating; Solids; Stability analysis; Steady-state; Surface tension; Temperature;
Conference_Titel :
Conduction and Breakdown in Dielectric Liquids, 1996, ICDL '96., 12th International Conference on
Conference_Location :
Roma
Print_ISBN :
0-7803-3560-0
DOI :
10.1109/ICDL.1996.565322
