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These are reasonable assumptions with low viscosity fluids suspended in high viscosity fluids which are subjected to low rates of shear.
Just as the pressure exerted by surface tension in a spherical drop is Af and the pressure exerted by surface tension on a cylindrical shape is Af, the pressure exerted by any curved surface is Af, where **yg is the interfacial tension and Af and Af are the two radii of curvature.
If A is the major axis of an ellipsoid and B and C are the other two axes, the radius of curvature in the ab plane at the end of the axis Af, and the difference in pressure along the A and B axes is Af.
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