The governing equation for the capillarity-induced shape changes of a surface of revolution by surface diffusion,
where∂n/∂t is the normal velocity of the surface,y is measured normal to the axis of revolution,s is arc length,K is the total surface curvature andB is a kinetic parameter which is constant for a given temperature and material, is presented. A numerical solution to this equation is used to analyse finite cylinders with hemispherical ends. A critical length-to-diameter ratio (L/D) of 7.2 is predicted, below which only one spheroidal particle results and above which two or more are formed, and is shown to have experimental support in several systems.
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Nichols, F.A. On the spheroidization of rod-shaped particles of finite length. J Mater Sci 11, 1077–1082 (1976). https://doi.org/10.1007/BF00553115
- Kinetic Parameter
- Surface Curvature
- Shape Change
- Surface Diffusion