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Equation of Young-Laplace

This is the Young-Laplace equation. For spherical droplets or bubbles of radius R in a dilute emulsion or foam, [Pg.61]

The Young-Laplace equation forms the basis for some important methods for measuring surface and interfacial tensions, such as the pendant and sessile drop methods, the spinning drop method, and the maximum bubble pressure method (see Section 3.2.3). Liquid flow in response to the pressure difference expressed by Eqs. (3.6) or (3.7) is known as Laplace flow, or capillary flow. [Pg.61]

There are many methods available for the measurement of surface and interfacial tensions [134—138], see Table 3.2. A number of the most common are introduced in this section. [Pg.61]

For emulsions, the interfacial tension is usually of most interest. Here, the du Noiiy ring, Wilhelmy plate, drop volume, pendant, or sessile drop methods are the most commonly used. The spinning drop or captive drop techniques are applicable to the very low interfacial tensions encountered in the enhanced oil recovery and microemulsion fields. The maximum droplet pressure technique can be used when there is little or no density contrast between the phases, such as in bitumen-water systems at elevated temperature. [Pg.62]

For foams, it is the surface tension of the foaming solution that is usually of most interest. For this, the most commonly used methods are the du Noiiy ring, Wilhelmy plate, drop weight or volume, pendant drop, and the maximum bubble pressure method. For suspensions it is again usually the surface tension of the continuous phase that is of most interest, with the same methods being used in most cases. Some work has also been done on the surface tension of the overall suspension itself using, for example, the du Noiiy ring and maximum bubble pressure methods (see Section 3.2.4). [Pg.62]

Interfacial tension causes a pressure difference to exist across a curved surface, the pressure being greater on the concave side (i.e. on the inside of a droplet or bubble). Consider an interface between phase A, in a droplet or bubble, and phase B, surrounding the droplet or bubble. These will have pressures pj and p. If the principal radii of curvature are and f 2 then [Pg.94]


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