Fixed amount of confined fluids in presence of electric and magnetic field

Hi everyone,
How can I apply electric and magnetic field on a fluid which is deposited on a plate and there is another plate at a some distance d apart from surface of liquid. (air above the fluid). The problem is that there is no inlet and outlet in my system but for studying the fluid volume fraction i have to use two phase level set model which need fluid to flow... how can I get over it? Please help me with it.

Thanks
Vineet