2009/02/21 by E. V. Shiryaeva, Shiryaeva, E. V., V. A. Vladimirov +3
Engineering · Physics and Astronomy · #Characterization and Applications of Magnetic Nanoparticles #Chemical Physics (physics.chem-ph) #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Thin Films #Power Transformer Diagnostics and Insulation #physics.chem-ph #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.0902.3733
12 pages, 9 figures. (Submitted to Phys. Rev. E)
arxiv created 2009/02/21 · openalex publication_date 2009/02/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 difference of potentials in one direction and constant external electrical field \vEout 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 |\vEout|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 (see arXiv:0805.0490v2).