The most straightforward way would be to just deposit droplets of a given liquid on a substrate, and measuring the contact angle - from that, the surface tension can be calculated. Do note there can be hysteresis in the contact angle, and the method of deposition may influence the result. At TU Delft, Michiel Musterd did considerable work on the contact angle of droplets in motion, and his thesis also includes theory on surface tension determination. you can freely download his thesis here: https://repository.tudelft.nl/islandora/object/uuid%3Adafd73d6-b402-4150-b6ba-8d542b233baf?collection=research
In the experiment, we usually deal with curved menisci of a fairly simple shape, for example, with cylindrical or axially symmetric ones. Two groups of methods based on the study of menisci can be distinguished: methods associated with the study of menisci of a fixed form, and methods involving a change in the shape of the meniscus during the experiment. In the latter case, the surface tension is calculated from the extreme value of one of the variable meniscus parameters or from the results of measuring its parameters at the stability boundary. The surface tension of the liquefied gases was determined by the methods of an immersed plate (Wilhelmi plate), ring detachment, capillary waves. The possibilities of the methods of the hanging and lying drops, the maximum pressure in the bubble, the weight (volume) of the drop are extremely limited and there are only fragmentary information about their attempts to determine the surface tension of cryogenic liquids. The results of most methods based on the study of meniscuses depend on the conditions of wetting by a liquid of a solid. Despite the good, and in some cases close to complete, wetting with cryogenic liquids of solids, precision measurements presuppose the availability of information on the marginal angle. Such information is not required if the method of capillary waves is used, in which the surface tension is found from the data on the speed of propagation of surface excitations. Most of the measurements of the surface tension of liquefied gases are made by the method of capillary uplift. The choice of this method is due to sufficiently high accuracy and convenience in measurements at low temperatures.
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