EPR in the form of a dispersed droplet layer

The two-dimensional model, i.e. the boundary layer flow, can be expressed by the following statement of the problem within the droplet layer 0 z 1  

In the external boundary layer 1 z °°, the same right equations of (3.85) remain valid. Similar integro-differential equations with integrals in the source terms are valid for heat and mass exchange processes, [217], 

Considering the dispersed droplet layer, we restrict ourselves by fluid mechanics only. Let the droplet spectrum have been discretized to representative fractions, each with the same radius r., i = 1,2. K. A finite sum will represent the integral source term in (3.115), and the equations will govern all the droplet media linked through the first equation. By posing the relevant problem, we substitute the left problem in (3.85) by the following system of K + 2 equations  

The new conjugation boundary-value problem (3.87) that consist of (3.116) and of the equations and boundary conditions from the right column of (3.85) and (3.86) was also solved numerically by the same finite-difference scheme. Again, the problem led to an equivalent transcendental equation 

It was solved by several iterations, on which two boundary-value problems, (3.116) and (3.85), (3.86) for particular Uh, were solved. 

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