Instability Rayleigh type

It is noteworthy, especially in relation to our later discussions on electrospinning, that cylindrical liquid columns are also subject to the Rayleigh-type instability, in which case the pressure balance is given by ... 

Such columns can be used for the CEC separation of small neutral compounds. The problem with this type of open-tubular column, however, is the low efficiency obtained due to the small diffusion coefficients of the analytes in the polymeric stationary phase, and the heterogeneous film structure caused by Rayleigh instability. 

This type of instability is known as Rayleigh-Taylor instability. It is discussed in Chap. 12. 

Pearson s theoretical treatment was based on a linear stability analysis of the type described in Section 10.4 in connection with jet stability to small disturbances and paralleled Rayleigh s analysis for buoyancy driven instability. He assumed an infinite homogeneous liquid film of uniform thickness h whose lower surface is in contact with a rigid heat conductor at a fixed temperature and whose upper surface is free. Gravity is neglected (Ra = 0) and a linear temperature distribution across the film is assumed, with the high temperature at the lower surface. The surface tension is a function of temperature alone, and the rate of heat loss from the free surface is also a function of temperature only. 

Rayleigh analyzed the morphological instability of cylindrical fluid jets under the influence of surface tension forces in 1878 (1) and found that an infinitely long cylindrical jet will eventually break up into a row of spherical droplets (Fig. 11.1), in much the same way as when a narrow stream of water flows from a faucett. This type of breakup, referred to as Rayleigh instability, is driven by a reduction in surface energy and is based on the fact that a sphere has a lower surface area than a cylinder of the same volume. Because mass must be redistri-... 

The first one is the electric counterpart of the classical Rayleigh instability known from uncharged fluid threads, already discussed above. This type of... 

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