Question: A small leaf filter is used to find filtering characteristics of a slurry which forms an incompressible cake. The filter is believed to have some

A small leaf filter is used to find filtering characteristics of a slurry which forms an incompressible cake. The filter is believed to have some resistance. Consequently, Eq.(4.36) is modified as p=(p1p2)=(c1V+c2)dtdV c1=/(A2) and c2 is constant that depends only on the medium and the slurry. A test made on a suspension was run at constant rate of 1.89105m3/s of filtrate and gave the following results: 1. Find the constants c1 and c2 using the above data. Using the same suspension and filter, the filtration cycle will be run in the following way: 2. The filtrate is forced through at a constant rate of 3.15105m3/s until the pressure difference reaches 3.45105N/m2. Find the time. Calculate the volume of filtrate collected. 3. The filtration is then continued at constant pressure of 3.45105N/m2 until the total filtrate collected is 5.68102m3. Find the time. 4. The cake is then washed with 1.10102m3 of water. Find the time. Hint: the process is at constant pressure and flow rate. 5. Note that 600s. is needed to dump and clean the filter. Find the total cycle time. 6. Determine the capacity of this filtration cycle in m3/s
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