✖Sludge Feed Rate refers to the rate at which sludge is introduced into a treatment process.ⓘ Sludge Feed Rate [S_f]			+10% -10%
✖Solid Recovery in Decimal refers to the percentage of solid material that is recovered from a process or system designed to separate solids from a mixture.ⓘ Solid Recovery in Decimal [R]			+10% -10%

✖Cake Discharge Rate is a measure of the quantity of dry solid flow over unit time.ⓘ Dewatered Sludge or Cake Discharge Rate [C_d]

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Formula

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Dewatered Sludge or Cake Discharge Rate

Formula

`"C"_{"d"} = ("S"_{"f"}*"R")`

Example

`"27lb/h"=("45lb/h"*"0.6")`

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Download Design of a Solid Bowl Centrifuge for Sludge Dewatering Formulas PDF PDF Image

Dewatered Sludge or Cake Discharge Rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cake Discharge Rate = (Sludge Feed Rate*Solid Recovery in Decimal)
C_d = (S_f*R)
This formula uses 3 Variables

Variables Used

Cake Discharge Rate - (Measured in Kilogram per Second) - Cake Discharge Rate is a measure of the quantity of dry solid flow over unit time.
Sludge Feed Rate - (Measured in Kilogram per Second) - Sludge Feed Rate refers to the rate at which sludge is introduced into a treatment process.
Solid Recovery in Decimal - Solid Recovery in Decimal refers to the percentage of solid material that is recovered from a process or system designed to separate solids from a mixture.

STEP 1: Convert Input(s) to Base Unit

Sludge Feed Rate: 45 Pound per Hour --> 0.00566990462512544 Kilogram per Second (Check conversion here)
Solid Recovery in Decimal: 0.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_d = (S_f*R) --> (0.00566990462512544*0.6)

Evaluating ... ...

C_d = 0.00340194277507526

STEP 3: Convert Result to Output's Unit

0.00340194277507526 Kilogram per Second -->27 Pound per Hour (Check conversion here)

FINAL ANSWER

27 Pound per Hour <-- Cake Discharge Rate

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Design of a Solid Bowl Centrifuge for Sludge Dewatering » Sludge Volume and Feed Rate » Dewatered Sludge or Cake Discharge Rate

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Birsa Institute of Technology (BIT), Sindri

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< 9 Sludge Volume and Feed Rate Calculators

Percent Reduction in Sludge Volume

Go Volume Reduction = (Sludge Volume in-Sludge Volume Out)/Sludge Volume in

Solids Recovery given Dewatered Sludge Discharge Rate

Go Solid Recovery in Decimal = (Cake Discharge Rate/Sludge Feed Rate)

Dewatered Sludge or Cake Discharge Rate

Go Cake Discharge Rate = (Sludge Feed Rate*Solid Recovery in Decimal)

Sludge Feed Rate using Dewatered Sludge Discharge Rate

Go Sludge Feed Rate = Cake Discharge Rate/Solid Recovery in Decimal

Digested Sludge using Sludge Feed Rate for Dewatering Facility

Go Digested Sludge = (Volumetric Sludge Feed Rate*Operation Time)

Operation Time given Sludge Feed Rate for Dewatering Facility

Go Operation Time = (Digested Sludge/Volumetric Sludge Feed Rate)

Sludge Feed Rate for Dewatering Facility

Go Volumetric Sludge Feed Rate = (Digested Sludge/Operation Time)

Sludge Volume-in given Percent Reduction in Sludge Volume

Go Sludge Volume in = (Sludge Volume Out/(1-Volume Reduction))

Sludge Volume-out given Percent Reduction in Sludge Volume

Go Sludge Volume Out = Sludge Volume in*(1-Volume Reduction)

Dewatered Sludge or Cake Discharge Rate Formula

Cake Discharge Rate = (Sludge Feed Rate*Solid Recovery in Decimal)
C_d = (S_f*R)

What is Dewatering of Sludge ?

Sludge Dewatering is the practice of minimizing waste by volume to prepare for its effective disposal. Sludge originates during the process of treating wastewater before the water can be released back into the environment.

How to Calculate Dewatered Sludge or Cake Discharge Rate?

Dewatered Sludge or Cake Discharge Rate calculator uses Cake Discharge Rate = (Sludge Feed Rate*Solid Recovery in Decimal) to calculate the Cake Discharge Rate, The Dewatered Sludge or Cake Discharge Rate is defined as the measure of the quantity of dry solid flow over unit time, when we have prior information of sludge feed rate and percent solid recovery. Cake Discharge Rate is denoted by C_d symbol.

How to calculate Dewatered Sludge or Cake Discharge Rate using this online calculator? To use this online calculator for Dewatered Sludge or Cake Discharge Rate, enter Sludge Feed Rate (S_f) & Solid Recovery in Decimal (R) and hit the calculate button. Here is how the Dewatered Sludge or Cake Discharge Rate calculation can be explained with given input values -> 214289.3 = (0.00566990462512544*0.6).

FAQ

What is Dewatered Sludge or Cake Discharge Rate?

The Dewatered Sludge or Cake Discharge Rate is defined as the measure of the quantity of dry solid flow over unit time, when we have prior information of sludge feed rate and percent solid recovery and is represented as C_d = (S_f*R) or Cake Discharge Rate = (Sludge Feed Rate*Solid Recovery in Decimal). Sludge Feed Rate refers to the rate at which sludge is introduced into a treatment process & Solid Recovery in Decimal refers to the percentage of solid material that is recovered from a process or system designed to separate solids from a mixture.

How to calculate Dewatered Sludge or Cake Discharge Rate?

The Dewatered Sludge or Cake Discharge Rate is defined as the measure of the quantity of dry solid flow over unit time, when we have prior information of sludge feed rate and percent solid recovery is calculated using Cake Discharge Rate = (Sludge Feed Rate*Solid Recovery in Decimal). To calculate Dewatered Sludge or Cake Discharge Rate, you need Sludge Feed Rate (S_f) & Solid Recovery in Decimal (R). With our tool, you need to enter the respective value for Sludge Feed Rate & Solid Recovery in Decimal and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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