Beta Constant given Displacement Velocity by Camp Calculator

✖Displacement velocity is the velocity required to remove the sludge zone from sedimentation tank.ⓘ Displacement velocity [v_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%
✖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%

✖Beta constant is the constant used in the Camp equation.ⓘ Beta Constant given Displacement Velocity by Camp [β]

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Formula

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Beta Constant given Displacement Velocity by Camp

Formula

`"β" = "v"_{"d"}^2*"f"/(8*"[g]"*("ρ"_{"p"}-1)*"D")`

Example

`"1.6E^-7"=("55m/s")^2*"0.5"/(8*"[g]"*("12g/mm³"-1)*"10m")`

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Beta Constant given Displacement Velocity by Camp Solution

STEP 0: Pre-Calculation Summary

Formula Used

Beta Constant = Displacement velocity^2*Darcy Friction Factor/(8*[g]*(Density of Particle-1)*Diameter)
β = v_d^2*f/(8*[g]*(ρ_p-1)*D)
This formula uses 1 Constants, 5 Variables

Constants Used

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

Variables Used

Beta Constant - Beta constant is the constant used in the Camp equation.
Displacement velocity - (Measured in Meter per Second) - Displacement velocity is the velocity required to remove the sludge zone from sedimentation tank.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Displacement velocity: 55 Meter per Second --> 55 Meter per Second No Conversion Required
Darcy Friction Factor: 0.5 --> 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

β = v_d^2*f/(8*[g]*(ρ_p-1)*D) --> 55^2*0.5/(8*[g]*(12000000-1)*10)

Evaluating ... ...

β = 1.60658427151652E-07

STEP 3: Convert Result to Output's Unit

1.60658427151652E-07 --> No Conversion Required

FINAL ANSWER

1.60658427151652E-07 ≈ 1.6E-7 <-- Beta Constant

(Calculation completed in 00.020 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

Beta Constant given Displacement Velocity by Camp Formula

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

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 Beta Constant given Displacement Velocity by Camp?

Beta Constant given Displacement Velocity by Camp calculator uses Beta Constant = Displacement velocity^2*Darcy Friction Factor/(8*[g]*(Density of Particle-1)*Diameter) to calculate the Beta Constant, The Beta Constant given Displacement Velocity by Camp is equal to 0.04 for uni granular sand and 0.06 for sticky materials. Beta Constant is denoted by β symbol.

How to calculate Beta Constant given Displacement Velocity by Camp using this online calculator? To use this online calculator for Beta Constant given Displacement Velocity by Camp, enter Displacement velocity (v_d), Darcy Friction Factor (f), Density of Particle (ρ_p) & Diameter (D) and hit the calculate button. Here is how the Beta Constant given Displacement Velocity by Camp calculation can be explained with given input values -> 1.6E-7 = 55^2*0.5/(8*[g]*(12000000-1)*10).

FAQ

What is Beta Constant given Displacement Velocity by Camp?

The Beta Constant given Displacement Velocity by Camp is equal to 0.04 for uni granular sand and 0.06 for sticky materials and is represented as β = v_d^2*f/(8*[g]*(ρ_p-1)*D) or Beta Constant = Displacement velocity^2*Darcy Friction Factor/(8*[g]*(Density of Particle-1)*Diameter). Displacement velocity is the velocity required to remove the sludge zone from sedimentation tank, 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, 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.

How to calculate Beta Constant given Displacement Velocity by Camp?

The Beta Constant given Displacement Velocity by Camp is equal to 0.04 for uni granular sand and 0.06 for sticky materials is calculated using Beta Constant = Displacement velocity^2*Darcy Friction Factor/(8*[g]*(Density of Particle-1)*Diameter). To calculate Beta Constant given Displacement Velocity by Camp, you need Displacement velocity (v_d), Darcy Friction Factor (f), Density of Particle (ρ_p) & Diameter (D). With our tool, you need to enter the respective value for Displacement velocity, Darcy Friction Factor, Density of Particle & Diameter 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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