Rotating electrohydrodynamic flow in a suspended liquid film

TY - UNPB

T1 - Rotating electrohydrodynamic flow in a suspended liquid film

AU - Shiryaeva, E.V.

AU - Zhukov, M.Yu.

AU - Vladimirov, Vladimir A.

PY - 2009/2

Y1 - 2009/2

N2 - The mathematical model of a rotating electrohydrodynamic flow in a thin suspended liquid film is proposed and studied. The motion is driven by the given di.erence of potentials in one direction and constant external electrical field E in another direction in the plane of a film. To derive the model we employ the spatial averaging over the normal coordinate to a film that leads to the average Reynolds stress that is proportional to |E|^3. This stress generates tangential velocity in the vicinity of the edges of a film that, in turn, causes the rotational motion of a liquid. The proposed model is aimed to explain the experimental observations of the liquid film motor.

AB - The mathematical model of a rotating electrohydrodynamic flow in a thin suspended liquid film is proposed and studied. The motion is driven by the given di.erence of potentials in one direction and constant external electrical field E in another direction in the plane of a film. To derive the model we employ the spatial averaging over the normal coordinate to a film that leads to the average Reynolds stress that is proportional to |E|^3. This stress generates tangential velocity in the vicinity of the edges of a film that, in turn, causes the rotational motion of a liquid. The proposed model is aimed to explain the experimental observations of the liquid film motor.

KW - Fluid Dynamics

M3 - Working paper

BT - Rotating electrohydrodynamic flow in a suspended liquid film

ER -