Surface Tension
The Surface Tension feature adds the necessary condition to model an interface between two fluids including surface tension effects. Add this node from the Interior Conditions submenu. This acoustic (perturbation) formulation of the Young-Laplace equation relies on a linearization around the stationary shape of the interface. The feature is important when modeling small curved interfaces between two different immiscible fluids, like microbubbles or microdrops.
The condition prescribes a jump in the normal stress at the interface between two fluids, while the temperature variation and acoustic velocity is continuous. The condition reads
where σ is the surface tension coefficient, T is the total stress in the fluid, and κaco is the acoustic perturbation to the steady state curvature of the interface. The steady state main curvatures of the interface are κ1 and κ2. The normal acoustic displacement of the interface is dn.
Surface Tension
Select the Surface tension coefficient from the list of built-in options or enter a user-defined value. Select to pick from the Library coefficients, for liquid/gas interfaces and then select from the built-in list, pick from the Library coefficients, for liquid/liquid interfaces and select from the built-in list, or select User defined. For User defined enter the surface tension coefficient σ (SI unit: N/m).
If performing an eigenfrequency analysis where the Surface Tension is present, some care has to be taken to ensure good numerical behavior. It is necessary to change the scaling factor used for the equations. To change the scaling factor select the Thermoviscous Acoustics, Frequency Domain node and expand the Equation section. Set the Equation form to Frequency domain, and then locate the Thermoviscous Acoustics Equations Settings section and set the Scaling factor to ta.iomega.
Eigenmodes in Air Bubble with Surface Tension. Application Library path Acoustics_Module/Tutorials,_Thermoviscous_Acoustics/eigenmodes_air_bubble