Percent Cake Solids given Percent Solids Recovery Calculator

✖Percent Solids Recovery is the mass of solids in the cake divided by the mass of solids in the feed.ⓘ Percent Solids Recovery [%R]			+10% -10%
✖Feed Solids in Percent is defined as solids present in the feed.ⓘ Feed Solids in Percent [F]			+10% -10%
✖Centrate Solids in Percent is a nutrient-rich effluent that can be used as a nutrient source to produce microalgae biomass for energy purposes.ⓘ Centrate Solids in Percent [C_c]			+10% -10%

✖Cake Solids in Percent is the percentage of solids in the feed slurry that make it to the discharge point of the machine as a dewatered “cake”.ⓘ Percent Cake Solids given Percent Solids Recovery [C_s]

⎘ Copy

👎

Formula

✖

Percent Cake Solids given Percent Solids Recovery

Formula

`"C"_{"s"} = ("%R"*"F"*"C"_{"c"})/("%R"*"F"+100*"C"_{"c"}-100*"F")`

Example

`"25.03684"=("95.14"*"5"*"0.3")/("95.14"*"5"+100*"0.3"-100*"5")`

Calculator

LaTeX

Reset

👍

Download Environmental Engineering Formula PDF

Percent Cake Solids given Percent Solids Recovery Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cake Solids in Percent = (Percent Solids Recovery*Feed Solids in Percent*Centrate Solids in Percent)/(Percent Solids Recovery*Feed Solids in Percent+100*Centrate Solids in Percent-100*Feed Solids in Percent)
C_s = (%R*F*C_c)/(%R*F+100*C_c-100*F)
This formula uses 4 Variables

Variables Used

Cake Solids in Percent - Cake Solids in Percent is the percentage of solids in the feed slurry that make it to the discharge point of the machine as a dewatered “cake”.
Percent Solids Recovery - Percent Solids Recovery is the mass of solids in the cake divided by the mass of solids in the feed.
Feed Solids in Percent - Feed Solids in Percent is defined as solids present in the feed.
Centrate Solids in Percent - Centrate Solids in Percent is a nutrient-rich effluent that can be used as a nutrient source to produce microalgae biomass for energy purposes.

STEP 1: Convert Input(s) to Base Unit

Percent Solids Recovery: 95.14 --> No Conversion Required
Feed Solids in Percent: 5 --> No Conversion Required
Centrate Solids in Percent: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_s = (%R*F*C_c)/(%R*F+100*C_c-100*F) --> (95.14*5*0.3)/(95.14*5+100*0.3-100*5)

Evaluating ... ...

C_s = 25.0368421052632

STEP 3: Convert Result to Output's Unit

25.0368421052632 --> No Conversion Required

FINAL ANSWER

25.0368421052632 ≈ 25.03684 <-- Cake Solids in Percent

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Environmental Engineering » Design of a Solid Bowl Centrifuge for Sludge Dewatering » Percent Solids » Percent Cake Solids given Percent Solids Recovery

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 4 Percent Solids Calculators

Percent Cake Solids given Percent Solids Recovery

Go Cake Solids in Percent = (Percent Solids Recovery*Feed Solids in Percent*Centrate Solids in Percent)/(Percent Solids Recovery*Feed Solids in Percent+100*Centrate Solids in Percent-100*Feed Solids in Percent)

Percent Feed Solids given Percent Solids Recovery

Go Feed Solids in Percent = (100*Cake Solids in Percent*Centrate Solids in Percent)/(Percent Solids Recovery*Centrate Solids in Percent+100*Cake Solids in Percent-Percent Solids Recovery*Cake Solids in Percent)

Percent Centrate Solids given Percent Solids Recovery

Go Centrate Solids in Percent = (Feed Solids in Percent*Cake Solids in Percent)*((Percent Solids Recovery-100)/(Percent Solids Recovery*Feed Solids in Percent-100*Cake Solids in Percent))

Percent Solids Recovery to Determine Solids Capture

Go Percent Solids Recovery = 100*(Cake Solids in Percent/Feed Solids in Percent)*((Feed Solids in Percent-Centrate Solids in Percent)/(Cake Solids in Percent-Centrate Solids in Percent))

Percent Cake Solids given Percent Solids Recovery Formula

What is Percent Cake Solid ?

Technically, it represents the percentage of solids in the feed slurry that make it to the discharge point of the machine as a dewatered “cake.” In practice, it is an indication of how “clean” the dewatering equipment is running. The industry standard for solids capture on dewatering equipment is 95%.

How to Calculate Percent Cake Solids given Percent Solids Recovery?

Percent Cake Solids given Percent Solids Recovery calculator uses Cake Solids in Percent = (Percent Solids Recovery*Feed Solids in Percent*Centrate Solids in Percent)/(Percent Solids Recovery*Feed Solids in Percent+100*Centrate Solids in Percent-100*Feed Solids in Percent) to calculate the Cake Solids in Percent, The Percent Cake Solids given Percent Solids Recovery is defined as the percentage of solids in the feed slurry that makes it to the discharge point of the machine as a dewatered “cake”. Cake Solids in Percent is denoted by C_s symbol.

How to calculate Percent Cake Solids given Percent Solids Recovery using this online calculator? To use this online calculator for Percent Cake Solids given Percent Solids Recovery, enter Percent Solids Recovery (%R), Feed Solids in Percent (F) & Centrate Solids in Percent (C_c) and hit the calculate button. Here is how the Percent Cake Solids given Percent Solids Recovery calculation can be explained with given input values -> -0.280844 = (95.14*5*0.3)/(95.14*5+100*0.3-100*5).

FAQ

What is Percent Cake Solids given Percent Solids Recovery?

The Percent Cake Solids given Percent Solids Recovery is defined as the percentage of solids in the feed slurry that makes it to the discharge point of the machine as a dewatered “cake” and is represented as C_s = (%R*F*C_c)/(%R*F+100*C_c-100*F) or Cake Solids in Percent = (Percent Solids Recovery*Feed Solids in Percent*Centrate Solids in Percent)/(Percent Solids Recovery*Feed Solids in Percent+100*Centrate Solids in Percent-100*Feed Solids in Percent). Percent Solids Recovery is the mass of solids in the cake divided by the mass of solids in the feed, Feed Solids in Percent is defined as solids present in the feed & Centrate Solids in Percent is a nutrient-rich effluent that can be used as a nutrient source to produce microalgae biomass for energy purposes.

How to calculate Percent Cake Solids given Percent Solids Recovery?

The Percent Cake Solids given Percent Solids Recovery is defined as the percentage of solids in the feed slurry that makes it to the discharge point of the machine as a dewatered “cake” is calculated using Cake Solids in Percent = (Percent Solids Recovery*Feed Solids in Percent*Centrate Solids in Percent)/(Percent Solids Recovery*Feed Solids in Percent+100*Centrate Solids in Percent-100*Feed Solids in Percent). To calculate Percent Cake Solids given Percent Solids Recovery, you need Percent Solids Recovery (%R), Feed Solids in Percent (F) & Centrate Solids in Percent (C_c). With our tool, you need to enter the respective value for Percent Solids Recovery, Feed Solids in Percent & Centrate Solids in Percent and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search