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# Calculating Dewatered Cake Production from Belt Filter Press

12/09/2017 9:41 AM

I need to calculate the outgoing Q from a belt filter press given the following parameters:

-Incoming sludge from aerobic digesters: 21,248 gal/day @ 2% solids
-Cake solids concentration of 18%
-Solids capture through the belt filter press is 95%

Assume 1.05 S.G. for the sludge and cake, where applicable.
Thank you VERY much. I came up with 123 ft3/hr but not sure if this is correct. Any help at all will be very much appreciated.

-M

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#1

### Re: Calculating Dewatered Cake Production from Belt Filter Press

12/09/2017 10:36 AM

Measure the output for one minute and multiply by 60.

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#2

### Re: Calculating Dewatered Cake Production from Belt Filter Press

12/09/2017 12:39 PM

Still to many variables...

1. are you sizing a filter Press., then contact vendor... and consider this data.
2. if you buying used one and looking at what size,... see 1

most is still empirical information.

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#3

### Re: Calculating Dewatered Cake Production from Belt Filter Press

12/09/2017 2:33 PM

That's a lot of cake....

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#4
In reply to #3

### Re: Calculating Dewatered Cake Production from Belt Filter Press

12/09/2017 2:57 PM

I pitty the baker having to transport it to it’s destination.

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#5

### Re: Calculating Dewatered Cake Production from Belt Filter Press

12/10/2017 12:31 AM

It's a mass balance, convert the incoming flow to weight, 8.76 lb/gallon, 93.03 US Short Tons/day, 2% is 1.86 tons/day dry solids, 5% lost to the filtrate, 1.768 tons / day dry solids, now make it 18% solids by weight by adding water back in, 9.822 Tons/Day, 0.4 tons/hr. Assuming your final density at 8.9lb/gal using formula below, that is still about 10% of your value(?) , 12 cuft/hr, assuming 7.48053 gallons/cubic foot.

Water assumed at 8.34lb/gal, and no allowance for the water displaced by the fiber/sludge in the mixture, but pretty close for the accuracy typical for these calculations that don't include many different adjustments that affect the actual operation of a typical filter belt press .

If a cellulose or plant based sludge, then Cameron Hydraulic Data has this:

Typical Paper Mill Stock Density

lbm/gal=lbm. water/gallon + ( 3.33 x % consistency), where 3.33 is a rate of change factor.

(Consistency in % is pounds mass of fiber contained in pounds mass of the mixture of fiber and water) Weight of dry fiber/weight of mixture of water & fiber.

In minutes, and using 2.5 Bone Dry lbm of solids/minute at discharge, water at 60F

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#6
In reply to #4

### Re: Calculating Dewatered Cake Production from Belt Filter Press

12/10/2017 8:20 AM

They have a crew of experts....

Should be no problem....

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