Filtration curve for Example

It is clear from the above equation that there is a hnear relationship between 

Example 12.1 A batch conventional filtration equipment is used to filter a cell culture suspension which has a viscosity of 3.0 cp. The data for fitration (Table 12.1) at constant pressure is obtained with a vacuum pressure of 500 mm HG. The cell solids on the filter at the end of filtration were dried and found to weigh 14 grams. Determine the specific cake resistance, r and the medium resistance Rm- Estimate how long it would take to obtain 5000 liters of filtrate from this ceU broth on a filter with a surface area of 12 and vacuum pressure of 450 mm Hg. The final volume of the cake is found to be 690 ml. 

If Vi is assumed to be zero, then Equation 12.9 results in Equation 12.10. This equation can be used to find the values of cake specific resistance and media resistance from 

This is a typical value of Rm for a large-pore sized filter. 

In order to determine the time required to obtain 5000 liters of filtrate, we are 

---