M. Wawzyniak et J. Seyed-yagoobi, Stability of electrohydrodynamic induction pumping of a stratified liquid/vapor medium in the presence of an external load, IEEE IND AP, 35(5), 1999, pp. 1211-1217
A stability analysis of electrohydrodynamic induction pumping of a stratifi
ed liquid/vapor medium incorporating an external load is carried out in non
dimensional form. General stability criteria are introduced for attraction
and repulsion mode pumping. Stability is found to depend on dimensionless g
eometric parameters of the pump, as well as dimensionless electric paramete
rs of the working fluid. The criteria are investigated in detail, consideri
ng two specific cases each of attraction and repulsion mode pumping. Parame
ter maps are presented, indicating regions of stable and unstable operation
for each case. Finally, the effect of the dimensionless electric-wave angu
lar velocity on the dimensionless interfacial velocity is studied for selec
ted stable and unstable cases. It is shown that unstable pumps can be stabi
lized through careful selection of the involved parameters and that the ove
rall performance of the pump is likely to be improved in the process.