The Efficiency Coefficient of a Separator with Multicyclone Orifices

The Efficiency Coefficient of a Separator with Multicyclone Orifices 

Consider the flow of a gas-liquid mixture in a branch pipe modeled by a cylinder of radius Rc and length L. Assume that gas velocity has two components the axial component Vz and the tangential component Vg,. The radial component of the gas velocity is small as compared to Vz and Vg, and, in the first approximation, its influence on the process of drop deposition at the branch pipe wall can be neglected. Assuming that the gas flow running into a plate with centrifugal branch 

Here U is the average velocity of gas in the settling section of the separator, Si and 2 are the working cross-section areas of the settling section and the end section, respectively. 

Consider the motion of a drop of radius R in a centrifugal branch pipe. Since large drops have already been separated from the gas in the settling section of the separator, only relatively small drops move in the branch pipe. Therefore, resistance forces acting on the drops obey Stokes s law, and gravity can be neglected. These assumptions enable us to write the equations of drop motion as 

Let us estimate the order of magnitude of the inertial terms in the left-hand side of equations (19.4). We have 

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