Using Rayleigh-Taylor Model to Predict Surfacial Tension of Static Ferro-Fluid

Abstract

Rayleigh-Taylor model, an important theory dealing with ferro-hydrodynamic ( FHD ) instability, is utilized to predict the ferro-surface tension in this study. Before hexagonal peaking patterns induced by critical magnetization of ferro-solution, the simplification from proposed theory could be further made under the consideration of normal field imposed, i.e., linear relation of free surface tension proportional to apparent ferro-weight might be successfully predicted. That offers a simple semi-formula easier to study the static ferro-surface tension. To validate above results, a self-designed ring-pull device is set up as auxiliary experimental mechanism. Here relevant test of ferro-sample in various volumetric concentration as well as field intensity will be performed. Consequently, both results accessed from ferro-experiment and theoretic analysis delivers an agreement within the working magnetic intensity 0~40 mT, where a remarkable increase of surface tension coefficient occurs at higher magnetic field for ferro-solution with denser volumetric concentration considered.