Falling Speed given Ratio of Removal with respect to Discharge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Falling Speed = Removal Ratio e*Discharge/Area
v' = r*Q/A
This formula uses 4 Variables
Variables Used
Falling Speed - (Measured in Meter per Second) - The Falling Speed refers to the constant speed at which a particle falls through a fluid when the force of gravity is balanced by the drag force and buoyant force acting on the particle.
Removal Ratio e - The Removal ratio e refers to the total amount of sludge removed from the sedimentation tank.
Discharge - (Measured in Cubic Meter per Second) - The Discharge refers to the volume of fluid (usually water) that flows through a given cross-sectional area per unit of time.
Area - (Measured in Square Meter) - The Area of a sedimentation tank refers to the surface area of the tank where sedimentation, or the settling of suspended particles, occurs.
STEP 1: Convert Input(s) to Base Unit
Removal Ratio e: 0.5 --> No Conversion Required
Discharge: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second No Conversion Required
Area: 50 Square Meter --> 50 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
v' = r*Q/A --> 0.5*1.01/50
Evaluating ... ...
v' = 0.0101
STEP 3: Convert Result to Output's Unit
0.0101 Meter per Second --> No Conversion Required
FINAL ANSWER
0.0101 Meter per Second <-- Falling Speed
(Calculation completed in 00.020 seconds)

Credits

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Created by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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Birsa Institute of Technology (BIT), Sindri
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Falling Speed of Sediment Calculators

Falling Speed given Height at Outlet Zone with respect to Area of Tank
​ LaTeX ​ Go Falling Speed = Outer Height*Discharge/(Height of Crack*Cross-Sectional Area)
Falling Speed given Ratio of Removal with respect to Discharge
​ LaTeX ​ Go Falling Speed = Removal Ratio e*Discharge/Area
Falling Speed given Ratio of Removal with respect to Settling Velocity
​ LaTeX ​ Go Falling Speed = Removal Ratio e*Settling Velocity
Falling Speed of Smaller Particle
​ LaTeX ​ Go Falling Speed = Outer Height/Detention Time

Falling Speed given Ratio of Removal with respect to Discharge Formula

​LaTeX ​Go
Falling Speed = Removal Ratio e*Discharge/Area
v' = r*Q/A

What is Removal Ratio ?

Removal Ratio is defined as the ratio of the amount of sludge being discharged from the sedimentation tank in a given time period.

How to Calculate Falling Speed given Ratio of Removal with respect to Discharge?

Falling Speed given Ratio of Removal with respect to Discharge calculator uses Falling Speed = Removal Ratio e*Discharge/Area to calculate the Falling Speed, The Falling Speed given Ratio of Removal with respect to Discharge formula is defined as the particle reaches its terminal velocity, where gravitational force works downwards and buoyancy and viscous force work to dim particles falling. . Falling Speed is denoted by v' symbol.

How to calculate Falling Speed given Ratio of Removal with respect to Discharge using this online calculator? To use this online calculator for Falling Speed given Ratio of Removal with respect to Discharge, enter Removal Ratio e (r), Discharge (Q) & Area (A) and hit the calculate button. Here is how the Falling Speed given Ratio of Removal with respect to Discharge calculation can be explained with given input values -> 0.0101 = 0.5*1.01/50.

FAQ

What is Falling Speed given Ratio of Removal with respect to Discharge?
The Falling Speed given Ratio of Removal with respect to Discharge formula is defined as the particle reaches its terminal velocity, where gravitational force works downwards and buoyancy and viscous force work to dim particles falling. and is represented as v' = r*Q/A or Falling Speed = Removal Ratio e*Discharge/Area. The Removal ratio e refers to the total amount of sludge removed from the sedimentation tank, The Discharge refers to the volume of fluid (usually water) that flows through a given cross-sectional area per unit of time & The Area of a sedimentation tank refers to the surface area of the tank where sedimentation, or the settling of suspended particles, occurs.
How to calculate Falling Speed given Ratio of Removal with respect to Discharge?
The Falling Speed given Ratio of Removal with respect to Discharge formula is defined as the particle reaches its terminal velocity, where gravitational force works downwards and buoyancy and viscous force work to dim particles falling. is calculated using Falling Speed = Removal Ratio e*Discharge/Area. To calculate Falling Speed given Ratio of Removal with respect to Discharge, you need Removal Ratio e (r), Discharge (Q) & Area (A). With our tool, you need to enter the respective value for Removal Ratio e, Discharge & Area 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 Falling Speed?
In this formula, Falling Speed uses Removal Ratio e, Discharge & Area. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Falling Speed = Outer Height/Detention Time
  • Falling Speed = Removal Ratio e*Settling Velocity
  • Falling Speed = Outer Height*Discharge/(Height of Crack*Cross-Sectional Area)
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