The stability of natural convection in an inclined fluid layer in the presence of AC electric field

Linear stability theory is applied to the problem of the natural convection that occurs in an inclined fluid layer with uniformly distributed internal heat sources and subjected to the action of a normal ac electric field. It is assumed that the two plates between which the fluid layer is confined are maintained at constant and equal temperature. Both the dielectric constant and density of the fluid are assumed to be functions of temperature. The power series method is used to obtain the eigenvalue equation which is then solved numerically to obtain the stable and unstable solutions.