Weber number dimensionless parameters

The Weber number becomes important at conditions of high relative velocity between the injected Hquid and surrounding gas. Other dimensionless parameters, such as the Ohnesorge ((We /Re), Euler (AP/Pj y i)y and Taylor (Re/ We) numbers, have also been used to correlate spray characteristics. These parameters, however, are not used as often as the Reynolds and Weber numbers. 

The equation can also be expressed as the dimensionless parameter called the Weber number, as... 

At a certain critical length, Lc, depending on the stream velocity, U, the film stopped growing. It is found that a dimensionless parameter (a "Weber number") Nw given by... 

It can be seen from (10-271) that the boundary conditions (10-264) revert, at the leading order of approximation, to the boundary conditions (10-196) and (10-197). It follows that the velocity and pressure fields at this same level of approximation are simply the solutions for a spherical bubble that were obtained earlier. The normal-stress condition has not been required at all to obtain these results, but now, with the shape assumed to be unknown, the normal-stress condition provides a means to determine the 0(e) departure from sphericity. The dimensionless parameter in (10 270) is known as the Weber number,... 

If we enter a dimensionless parameter named the Weber number ... 

Three main dimensionless parameters most likely dominating cavitation in microsystems are the cavitation (cr), Reynolds (Re), and Weber (We) numbers. Although early work on cavitation scaling [4] has suggested the We number as a possible parameter affecting cavitation, it has been found that nuclei together with viscous... 

Thus far, the key dimensionless parameters useful in the design of microfluidic systems for miscible fluids have been discussed. For immiscible fluids, surface tension a also becomes important this parameter affects the dynamics of the free surface. This gives rise to two additional dimensionless quantities the capillary number and the Weber number. The capillary number represents the ratio of viscous forces to the surface tension forces acting across an interface between a liquid and a gas or between two immiscible liquids. It is defined as... 

In place of dimensionless parameters We and Ma we introduce corresponding modified Weber and Marangoni numbers based on the chatacteristic velocity U° ... 

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