Length of Tank given Settling Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Tank given Settling Velocity = (Discharge/(Settling Velocity*Width))
lt = (Q/(vs*w))
This formula uses 4 Variables
Variables Used
Length of Tank given Settling Velocity - (Measured in Meter) - Length of Tank given Settling Velocity is the horizontal dimension of a sedimentation tank in a water, determined based on the velocity at which particles settle out of the fluid.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.
Settling Velocity - (Measured in Meter per Second) - Settling Velocity is defined as the terminal velocity of a particle in still fluid.
Width - (Measured in Meter) - Width is the horizontal measurement or dimension of a structure, feature, or area.
STEP 1: Convert Input(s) to Base Unit
Discharge: 3 Cubic Meter per Second --> 3 Cubic Meter per Second No Conversion Required
Settling Velocity: 1.5 Meter per Second --> 1.5 Meter per Second No Conversion Required
Width: 2.29 Meter --> 2.29 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
lt = (Q/(vs*w)) --> (3/(1.5*2.29))
Evaluating ... ...
lt = 0.873362445414847
STEP 3: Convert Result to Output's Unit
0.873362445414847 Meter --> No Conversion Required
FINAL ANSWER
0.873362445414847 0.873362 Meter <-- Length of Tank given Settling Velocity
(Calculation completed in 00.020 seconds)

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Birsa Institute of Technology (BIT), Sindri
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Length of Tank Calculators

Length of Tank given Settling Velocity of Particular Sized Particle
​ LaTeX ​ Go Length of Tank given Settling Velocity = (70*Discharge)/(100*Width*Settling Velocity)
Length of Tank given Settling Velocity
​ LaTeX ​ Go Length of Tank given Settling Velocity = (Discharge/(Settling Velocity*Width))
Length of Tank given Flow Velocity
​ LaTeX ​ Go Length = (Flow Velocity*Depth)/Settling Velocity
Length of Tank given Overflow Rate
​ LaTeX ​ Go Length = (Discharge/(Overflow Rate*Width))

Important Formulas of Design of Continuous Flow Type of Sedimentation Tank Calculators

Overflow Rate given Discharge
​ LaTeX ​ Go Overflow Rate = Discharge/(Width*Length)
Cross-section Area of Tank with known Velocity of Flow of Water
​ LaTeX ​ Go Cross-Sectional Area = Discharge/Velocity of Flow of Water
Rate of Flow given Detention Time
​ LaTeX ​ Go Rate of Flow = (Volume of Tank/Detention Time)
Volume of Tank given Detention Time
​ LaTeX ​ Go Volume of Tank = Detention Time*Rate of Flow

Length of Tank given Settling Velocity Formula

​LaTeX ​Go
Length of Tank given Settling Velocity = (Discharge/(Settling Velocity*Width))
lt = (Q/(vs*w))

What is Settling Velocity?

The settling velocity (also referred to as the “sedimentation velocity”) is defined as the terminal velocity of a particle in still fluid.

How to Calculate Length of Tank given Settling Velocity?

Length of Tank given Settling Velocity calculator uses Length of Tank given Settling Velocity = (Discharge/(Settling Velocity*Width)) to calculate the Length of Tank given Settling Velocity, The Length of Tank given Settling Velocity formula is defined as the dimension of a sedimentation tank or clarifier in the direction of flow required to achieve adequate sedimentation of suspended particles. This length is calculated based on the settling velocity of the particles and the design flow rate through the tank. Length of Tank given Settling Velocity is denoted by lt symbol.

How to calculate Length of Tank given Settling Velocity using this online calculator? To use this online calculator for Length of Tank given Settling Velocity, enter Discharge (Q), Settling Velocity (vs) & Width (w) and hit the calculate button. Here is how the Length of Tank given Settling Velocity calculation can be explained with given input values -> 0.873362 = (3/(1.5*2.29)).

FAQ

What is Length of Tank given Settling Velocity?
The Length of Tank given Settling Velocity formula is defined as the dimension of a sedimentation tank or clarifier in the direction of flow required to achieve adequate sedimentation of suspended particles. This length is calculated based on the settling velocity of the particles and the design flow rate through the tank and is represented as lt = (Q/(vs*w)) or Length of Tank given Settling Velocity = (Discharge/(Settling Velocity*Width)). Discharge is the rate of flow of a liquid, Settling Velocity is defined as the terminal velocity of a particle in still fluid & Width is the horizontal measurement or dimension of a structure, feature, or area.
How to calculate Length of Tank given Settling Velocity?
The Length of Tank given Settling Velocity formula is defined as the dimension of a sedimentation tank or clarifier in the direction of flow required to achieve adequate sedimentation of suspended particles. This length is calculated based on the settling velocity of the particles and the design flow rate through the tank is calculated using Length of Tank given Settling Velocity = (Discharge/(Settling Velocity*Width)). To calculate Length of Tank given Settling Velocity, you need Discharge (Q), Settling Velocity (vs) & Width (w). With our tool, you need to enter the respective value for Discharge, Settling Velocity & Width and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Length of Tank given Settling Velocity?
In this formula, Length of Tank given Settling Velocity uses Discharge, Settling Velocity & Width. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Length of Tank given Settling Velocity = (70*Discharge)/(100*Width*Settling Velocity)
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