Theoretical Filtration Rates in Centrifuges

Pressure drop in the fluid, caused by the volumetric flow of liquid Q at time t, tiirou the element is given by Darcy s ejqiression  

The actual pressure differential over the element of cake is given by the difference between this fictional effect and the pressure developed radially in the fluid by rotation  

Therefore, over the filter cake from radius to rot 

Here it has beeu assumed that both a and s are invariant with radius this should be reasonably true for crystalline, inorganic precipitates. 

Equation 8.73 accounts for the pressure drop caused by flow through the filter medium and Equation 8.74 relates to the development of hydraulic pressure over the supematent liquid (durry) layer to the inner cake surface. Hence  

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