Mixing by chaotic advection in a magneto-hydrodynamic driven flow
| Autor: | Esteban Saatdjian, Stéphane Dufour, G. Vinsard, José P. B. Mota |
|---|---|
| Přispěvatelé: | Laboratoire Énergies et Mécanique Théorique et Appliquée (LEMTA ), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), Universidade Nova de Lisboa = NOVA University Lisbon (NOVA) |
| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: |
Fluid Flow and Transfer Processes
Physics Mechanical Engineering Computational Mechanics Equations of motion 02 engineering and technology Mechanics Stokes flow 021001 nanoscience & nanotechnology Condensed Matter Physics Stagnation point 01 natural sciences 010305 fluids & plasmas symbols.namesake [SPI]Engineering Sciences [physics] Classical mechanics Mechanics of Materials Saddle point 0103 physical sciences symbols Streamlines streaklines and pathlines 0210 nano-technology Lorentz force Mixing (physics) Saddle |
| Zdroj: | Physics of Fluids Physics of Fluids, American Institute of Physics, 2013, 25 (10), pp.102001. ⟨10.1063/1.4826602⟩ |
| ISSN: | 1070-6631 1089-7666 |
| DOI: | 10.1063/1.4826602⟩ |
| Popis: | International audience; A new device containing three circular electrodes and where very small quantities of a weakly electrically conductive liquid are propelled and mixed by chaotic advection is designed and constructed. The liquid, a copper sulfate solution, is propelled by the Lorentz body force, i.e., a magnetic field perpendicular to an electrical current. When the potentials of the electrodes are constant and the Lorentz force is small enough so that at the free surface the vertical velocity is practically zero, the flow field exhibits there a saddle point when the three circular electrodes are not in a concentric position. By modulating the electrical potential between the electrodes, the position of the saddle point changes. This slowly varying system is far from integrable and exhibits large-scale chaos, the non-integrability is due to the slow continuous modulation of the position of the saddle stagnation point and the two streamlines stagnating on it. Dye advection experiments are compared successfully to a numerical solution of the 3D equations of motion under these assumptions. We have also defined a potential mixing zone to predict the location of the chaotic region and calculated Poincar顳ections. These two tools give results which are in excellent agreement, they are used, with others, to adjust the mixing protocol parameters and the geometry in order to improve mixing. |
| Databáze: | OpenAIRE |
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