Free surface shear flows induced by Marangoni and alternating electromagnetic forces
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François Bioul
Abstract
One of the effects of radio-frequency (RF) alternating magnetic fields generated in the vicinity of electrically conducting liquid components is the generation of a free surface shear flow. This effect is generally undesired, but could be used to improve convection control in some applications – such as the Czochralski or floating zone crystal growth processes for example. Since the low value of the magnetic skin depth most often leads to high numerical difficulties, we have developed a mathematical model for the electromagnetic field distribution in the conductors for axisymmetric configurations, which provides equivalent magnetic surface forces and heat flux. The choice of an appropriate inductor shape, and the use of several out-of-phase induction components, allows us to equalize the orders of magnitude of tangential electromagnetic and thermocapillary Marangoni forces. In such case, the electromagnetic field can be used to counteract the Marangoni effect and to control the flow. Numerical calculations of the convection induced by electromagnetic and thermocapillary forces are carried out in order to depict typical flow patterns obtained in an axisymmetric liquid bridge surrounded by inductors.
Walter de Gruyter GmbH & Co. KG
Articles in the same Issue
- Editorial
- Linear Marangoni and Rayleigh-Taylor instabilities of a ferrofluid thick layer in a vertical magnetic field
- Free surface shear flows induced by Marangoni and alternating electromagnetic forces
- Instability of two-phase mixing layers: analysis of exact and approximate base flows from boundary layer theory
- Thermocapillarity-induced vortexes and liquid film dynamics on structured heated walls
- Numerical strategies for the simulation of dissolution kinetics and fluid-dynamic instabilities in liquid couples with a miscibility gap
- A study of heat transfer in liquid bridges near onset of instability
- Experimental and numerical study of the Marangoni convection due to localized laser heating
- Oscillatory instability of Rayleigh-Marangoni-Bénard convection in two-layer liquid system
Articles in the same Issue
- Editorial
- Linear Marangoni and Rayleigh-Taylor instabilities of a ferrofluid thick layer in a vertical magnetic field
- Free surface shear flows induced by Marangoni and alternating electromagnetic forces
- Instability of two-phase mixing layers: analysis of exact and approximate base flows from boundary layer theory
- Thermocapillarity-induced vortexes and liquid film dynamics on structured heated walls
- Numerical strategies for the simulation of dissolution kinetics and fluid-dynamic instabilities in liquid couples with a miscibility gap
- A study of heat transfer in liquid bridges near onset of instability
- Experimental and numerical study of the Marangoni convection due to localized laser heating
- Oscillatory instability of Rayleigh-Marangoni-Bénard convection in two-layer liquid system
