Sludge Volume-in given Percent Reduction in Sludge Volume Calculator

✖Sludge Volume Out is the volume of sludge leaving the filter unit.ⓘ Sludge Volume Out [V_o]			+10% -10%
✖Volume Reduction is defined as the change in the volume from initial to final. Volume reduction percent is expressed in decimal.ⓘ Volume Reduction [%V]			+10% -10%

✖Sludge Volume in means the volume of sludge entering the filter unit.ⓘ Sludge Volume-in given Percent Reduction in Sludge Volume [V_i]

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Formula

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Sludge Volume-in given Percent Reduction in Sludge Volume

Formula

`"V"_{"i"} = ("V"_{"o"}/(1-"%V"))`

Example

`"27.98982m³"=("22m³"/(1-"0.214"))`

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Sludge Volume-in given Percent Reduction in Sludge Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sludge Volume in = (Sludge Volume Out/(1-Volume Reduction))
V_i = (V_o/(1-%V))
This formula uses 3 Variables

Variables Used

Sludge Volume in - (Measured in Cubic Meter) - Sludge Volume in means the volume of sludge entering the filter unit.
Sludge Volume Out - (Measured in Cubic Meter) - Sludge Volume Out is the volume of sludge leaving the filter unit.
Volume Reduction - Volume Reduction is defined as the change in the volume from initial to final. Volume reduction percent is expressed in decimal.

STEP 1: Convert Input(s) to Base Unit

Sludge Volume Out: 22 Cubic Meter --> 22 Cubic Meter No Conversion Required
Volume Reduction: 0.214 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_i = (V_o/(1-%V)) --> (22/(1-0.214))

Evaluating ... ...

V_i = 27.9898218829517

STEP 3: Convert Result to Output's Unit

27.9898218829517 Cubic Meter --> No Conversion Required

FINAL ANSWER

27.9898218829517 ≈ 27.98982 Cubic Meter <-- Sludge Volume in

(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 » Sludge Volume-in given Percent Reduction in Sludge Volume

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

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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)

Sludge Volume-in given Percent Reduction in Sludge Volume Formula

Sludge Volume in = (Sludge Volume Out/(1-Volume Reduction))
V_i = (V_o/(1-%V))

What is volume reduction ?

Solid waste volume reduction can take the form of pre cycling or reuse behavior on the part of consumers. This behavior reduces solid waste at the source and prevents materials from ever entering the waste stream .

How to Calculate Sludge Volume-in given Percent Reduction in Sludge Volume?

Sludge Volume-in given Percent Reduction in Sludge Volume calculator uses Sludge Volume in = (Sludge Volume Out/(1-Volume Reduction)) to calculate the Sludge Volume in, The Sludge Volume-in given Percent Reduction in Sludge Volume calculates the volume of sludge entering the unit when volume reduction and sludge volume out is known. Sludge Volume in is denoted by V_i symbol.

How to calculate Sludge Volume-in given Percent Reduction in Sludge Volume using this online calculator? To use this online calculator for Sludge Volume-in given Percent Reduction in Sludge Volume, enter Sludge Volume Out (V_o) & Volume Reduction (%V) and hit the calculate button. Here is how the Sludge Volume-in given Percent Reduction in Sludge Volume calculation can be explained with given input values -> 50 = (22/(1-0.214)).

FAQ

What is Sludge Volume-in given Percent Reduction in Sludge Volume?

The Sludge Volume-in given Percent Reduction in Sludge Volume calculates the volume of sludge entering the unit when volume reduction and sludge volume out is known and is represented as V_i = (V_o/(1-%V)) or Sludge Volume in = (Sludge Volume Out/(1-Volume Reduction)). Sludge Volume Out is the volume of sludge leaving the filter unit & Volume Reduction is defined as the change in the volume from initial to final. Volume reduction percent is expressed in decimal.

How to calculate Sludge Volume-in given Percent Reduction in Sludge Volume?

The Sludge Volume-in given Percent Reduction in Sludge Volume calculates the volume of sludge entering the unit when volume reduction and sludge volume out is known is calculated using Sludge Volume in = (Sludge Volume Out/(1-Volume Reduction)). To calculate Sludge Volume-in given Percent Reduction in Sludge Volume, you need Sludge Volume Out (V_o) & Volume Reduction (%V). With our tool, you need to enter the respective value for Sludge Volume Out & Volume Reduction 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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