Dr. Andrzej Gajewski

Bialystok University of Technology, Poland


Talk Title
Contemporary approach to surface tension modeling
Talk Abstract

Technological progress makes the objects are decreasingly smaller, thus weak surface tension forces are included into analysis more often. Young-Laplace equation that has been derived in accordance with Equilibrium Thermodynamics assumptions, is extended into the non-equilibrium phenomena. This situation is caused by lack of non-equilibrium models. Hence, only one dimensional objects can be investigated properly, e.g. a sphere. Therefore, the possibilities of exploration using Young-Laplace equation should be limited. A new attitude starts from the force definition of surface tension. There is defined a surface on which a normal pressure force has only one coordinate into the normal direction and the surface tension forces have no normal components. It makes the computations much easier. These forces are balanced on the surface, which results in two components into the normal direction and meridian one. The solution have eight roots in closed-form expressions, the most important are shapes of drop and bubble. Surface tension determination using the new model is much simpler, by far. The important findings are:

  • Drop and bubble possess only one main curvature radius
  • Pressure in bubble is lower than outside,
  • Bubble has negative radius while drop positive one.

The interface shapes are expressed in the closed-form expressions, which makes calculation much easier. The shapes are expressed by the coordinates, not by the curvature radii as it is done currently. Therefore, the investigations of interfaces or surface tension determination are quite simple. Moreover, the new model have the spare equations that are used in the results’ verifications, which is very important superiority in comparison with the models based on Young-Laplace equation. The new model describes even a shape of fully created drop and bubble. It is a prevalence over the Young-Laplace equation’s numerical solutions which fail in the vicinity of the sharp tip.

The last but not least. The new perspective is curvilinear surfaces investigation which have not been investigated so far because of the lack of a proper model.

Short Biography
Talk Keywords
surface tension, interface tension, bubble, drop, Young-Laplace equation.
Target Audience
Students, Post doctoral, Industry, Doctors and professors
Speaker-intro video

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