Reproduce this in latex? We first derive a partial differential equation describ
ID: 2256061 • Letter: R
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Reproduce this in latex?
We first derive a partial differential equation describing the shape of the drop. It is well known that the shape is determined by the Laplace equation of capillarity: Here p denotes the pressure jump across the drop/air interface, denotes the liquid/air surface tension coefficient, and K1 and K2 are the principal curvatures of the drop surface. Since the drop is in equilibrium, pressures are hydrostatic and so where p is the pressure jump at the apex of the drop (z = h) and is the density diference between the drop and the surrounding air. For convenience we will henceforth work with dimensionless quantities, scaling lengths by Ro the average value of the function R(). Using (1.2), we can rewrite (1.1) in dimensionless form as where k is the dimensionless mean curvature at the drop apex andExplanation / Answer
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