Displacement Velocity by Camp Calculator

✖Beta constant is the constant used in the Camp equation.ⓘ Beta Constant [β]			+10% -10%
✖Density of Particle is defined as the mass of a unit volume of sediment solids. A simple example is that if 1 cm3 of solid material weighs 2.65 g, the particle density is 2.65 g/cm3.ⓘ Density of Particle [ρ_p]			+10% -10%
✖Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.ⓘ Diameter [D]			+10% -10%
✖Darcy Friction Factor is denoted by f. Its value depends on the flow's Reynolds number Re and on the pipe's relative roughness ε / D. It can be obtained from Moody's chart.ⓘ Darcy Friction Factor [f]			+10% -10%

✖Displacement velocity is the velocity required to remove the sludge zone from sedimentation tank.ⓘ Displacement Velocity by Camp [v_d]

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Formula

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Displacement Velocity by Camp

Formula

`"v"_{"d"} = sqrt((8*"β"*"[g]"*("ρ"_{"p"}-1)*"D")/"f")`

Example

`"433921.3m/s"=sqrt((8*"10"*"[g]"*("12g/mm³"-1)*"10m")/"0.5")`

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Displacement Velocity by Camp Solution

STEP 0: Pre-Calculation Summary

Formula Used

Displacement velocity = sqrt((8*Beta Constant*[g]*(Density of Particle-1)*Diameter)/Darcy Friction Factor)
v_d = sqrt((8*β*[g]*(ρ_p-1)*D)/f)
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Displacement velocity - (Measured in Meter per Second) - Displacement velocity is the velocity required to remove the sludge zone from sedimentation tank.
Beta Constant - Beta constant is the constant used in the Camp equation.
Density of Particle - (Measured in Kilogram per Cubic Meter) - Density of Particle is defined as the mass of a unit volume of sediment solids. A simple example is that if 1 cm3 of solid material weighs 2.65 g, the particle density is 2.65 g/cm3.
Diameter - (Measured in Meter) - Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
Darcy Friction Factor - Darcy Friction Factor is denoted by f. Its value depends on the flow's Reynolds number Re and on the pipe's relative roughness ε / D. It can be obtained from Moody's chart.

STEP 1: Convert Input(s) to Base Unit

Beta Constant: 10 --> No Conversion Required
Density of Particle: 12 Gram per Cubic Millimeter --> 12000000 Kilogram per Cubic Meter (Check conversion here)
Diameter: 10 Meter --> 10 Meter No Conversion Required
Darcy Friction Factor: 0.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_d = sqrt((8*β*[g]*(ρ_p-1)*D)/f) --> sqrt((8*10*[g]*(12000000-1)*10)/0.5)

Evaluating ... ...

v_d = 433921.26510389

STEP 3: Convert Result to Output's Unit

433921.26510389 Meter per Second --> No Conversion Required

FINAL ANSWER

433921.26510389 ≈ 433921.3 Meter per Second <-- Displacement velocity

(Calculation completed in 00.004 seconds)

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< 5 Displacement Velocity Calculators

Displacement Velocity by Camp

Go Displacement velocity = sqrt((8*Beta Constant*[g]*(Density of Particle-1)*Diameter)/Darcy Friction Factor)

Beta Constant given Displacement Velocity by Camp

Go Beta Constant = Displacement velocity^2*Darcy Friction Factor/(8*[g]*(Density of Particle-1)*Diameter)

Displacement Velocity for Fine Particles

Go Displacement velocity = Settling Velocity*sqrt(8/Darcy Friction Factor)

Displacement Velocity when friction factor is 0.025

Go Displacement velocity = Settling Velocity*sqrt(8/0.025)

Displacement Velocity given Settling Velocity

Go Displacement velocity = 18*Settling Velocity

Displacement Velocity by Camp Formula

Displacement velocity = sqrt((8*Beta Constant*[g]*(Density of Particle-1)*Diameter)/Darcy Friction Factor)
v_d = sqrt((8*β*[g]*(ρ_p-1)*D)/f)

What is sedimentation?

Sedimentation is the tendency for particles in suspension to settle out of the fluid in which they are entrained and come to rest against a barrier. This is due to their motion through the fluid in response to the forces acting on them: these forces can be due to gravity, centrifugal acceleration, or electromagnetism.

How to Calculate Displacement Velocity by Camp?

Displacement Velocity by Camp calculator uses Displacement velocity = sqrt((8*Beta Constant*[g]*(Density of Particle-1)*Diameter)/Darcy Friction Factor) to calculate the Displacement velocity, The Displacement Velocity by Camp is the velocity required to remove the sludge zone from sedimentation tank. Displacement velocity is denoted by v_d symbol.

How to calculate Displacement Velocity by Camp using this online calculator? To use this online calculator for Displacement Velocity by Camp, enter Beta Constant (β), Density of Particle (ρ_p), Diameter (D) & Darcy Friction Factor (f) and hit the calculate button. Here is how the Displacement Velocity by Camp calculation can be explained with given input values -> 433921.3 = sqrt((8*10*[g]*(12000000-1)*10)/0.5).

FAQ

What is Displacement Velocity by Camp?

The Displacement Velocity by Camp is the velocity required to remove the sludge zone from sedimentation tank and is represented as v_d = sqrt((8*β*[g]*(ρ_p-1)*D)/f) or Displacement velocity = sqrt((8*Beta Constant*[g]*(Density of Particle-1)*Diameter)/Darcy Friction Factor). Beta constant is the constant used in the Camp equation, Density of Particle is defined as the mass of a unit volume of sediment solids. A simple example is that if 1 cm3 of solid material weighs 2.65 g, the particle density is 2.65 g/cm3, Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere & Darcy Friction Factor is denoted by f. Its value depends on the flow's Reynolds number Re and on the pipe's relative roughness ε / D. It can be obtained from Moody's chart.

How to calculate Displacement Velocity by Camp?

The Displacement Velocity by Camp is the velocity required to remove the sludge zone from sedimentation tank is calculated using Displacement velocity = sqrt((8*Beta Constant*[g]*(Density of Particle-1)*Diameter)/Darcy Friction Factor). To calculate Displacement Velocity by Camp, you need Beta Constant (β), Density of Particle (ρ_p), Diameter (D) & Darcy Friction Factor (f). With our tool, you need to enter the respective value for Beta Constant, Density of Particle, Diameter & Darcy Friction Factor 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 Displacement velocity?

In this formula, Displacement velocity uses Beta Constant, Density of Particle, Diameter & Darcy Friction Factor. We can use 3 other way(s) to calculate the same, which is/are as follows -

Displacement velocity = Settling Velocity*sqrt(8/Darcy Friction Factor)
Displacement velocity = Settling Velocity*sqrt(8/0.025)
Displacement velocity = 18*Settling Velocity

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