Diameter given Displacement Velocity by Camp Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter = Displacement velocity^2*Darcy Friction Factor/(8*Beta Constant*[g]*(Density of Particle-1))
D = vd^2*f/(8*β*[g]*(ρp-1))
This formula uses 1 Constants, 5 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
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.
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.
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.
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
Beta Constant: 10 --> No Conversion Required
Density of Particle: 12 Gram per Cubic Millimeter --> 12000000 Kilogram per Cubic Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
D = vd^2*f/(8*β*[g]*(ρp-1)) --> 55^2*0.5/(8*10*[g]*(12000000-1))
Evaluating ... ...
D = 1.60658427151652E-07
STEP 3: Convert Result to Output's Unit
1.60658427151652E-07 Meter --> No Conversion Required
FINAL ANSWER
1.60658427151652E-07 1.6E-7 Meter <-- Diameter
(Calculation completed in 00.020 seconds)

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Created by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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13 Diameter of Sediment Particle Calculators

Diameter of Particle given Settling Velocity
Go Effective Particle Diameter = 3*Drag Coefficient*Liquid Density*Settling Velocity^2/(4*[g]*(Density of Particle-Liquid Density))
Diameter for Settling Velocity with respect to Kinematic Viscosity
Go Diameter = sqrt(Settling Velocity*18*Kinematic Viscosity/[g]*(Specific gravity of particle-Specific Gravity of Fluid))
Diameter given Settling Velocity in Fahrenheit
Go Diameter = sqrt(Settling Velocity/418*(Specific gravity of particle-Specific Gravity of Fluid)*((Outside Temperature+10)/60))
Diameter given Settling Velocity with respect to Dynamic Viscosity
Go Diameter = sqrt(18*Settling Velocity*Dynamic Viscosity/[g]*(Mass Density-Liquid Density))
Diameter given Settling Velocity given Celsius
Go Diameter = sqrt(Settling Velocity*100/418*(Specific gravity of particle-Specific Gravity of Fluid)*(3*Temperature+70))
Diameter given Displacement Velocity by Camp
Go Diameter = Displacement velocity^2*Darcy Friction Factor/(8*Beta Constant*[g]*(Density of Particle-1))
Diameter given temperature given Celsius for diameter greater than 0.1mm
Go Diameter = Settling Velocity*100/418*(Specific gravity of particle-Specific Gravity of Fluid)*(3*Temperature in Fahrenheit+70)
Diameter given Specific Gravity of Particle and Viscosity
Go Diameter = sqrt(Settling Velocity*Kinematic Viscosity*18/[g]*(Specific gravity of particle-1))
Diameter given temperature given Fahrenheit
Go Diameter = Settling Velocity*60/418*(Specific gravity of particle-Specific Gravity of Fluid)*(Temperature in Fahrenheit+10)
Diameter given Settling Velocity at 10 degree Celsius
Go Diameter = sqrt(Settling Velocity/418*(Specific gravity of particle-Specific Gravity of Fluid))
Diameter of Particle given Settling Velocity with respect to Specific Gravity
Go Diameter = (3*Drag Coefficient*Settling Velocity^2)/(4*[g]*(Specific gravity of particle-1))
Diameter of Particle given Particle Reynold's Number
Go Diameter = Dynamic Viscosity*Reynolds Number/(Liquid Density*Settling Velocity)
Diameter of Particle given Volume of Particle
Go Diameter = (6*Volume of One Particle/pi)^(1/3)

Diameter given Displacement Velocity by Camp Formula

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

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 Diameter given Displacement Velocity by Camp?

Diameter given Displacement Velocity by Camp calculator uses Diameter = Displacement velocity^2*Darcy Friction Factor/(8*Beta Constant*[g]*(Density of Particle-1)) to calculate the Diameter, The Diameter given Displacement Velocity by Camp is defined as the distance from one side to the opposite side of a circle, measured by a line passing through the center of the circle. Diameter is denoted by D symbol.

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

FAQ

What is Diameter given Displacement Velocity by Camp?
The Diameter given Displacement Velocity by Camp is defined as the distance from one side to the opposite side of a circle, measured by a line passing through the center of the circle and is represented as D = vd^2*f/(8*β*[g]*(ρp-1)) or Diameter = Displacement velocity^2*Darcy Friction Factor/(8*Beta Constant*[g]*(Density of Particle-1)). 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, 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.
How to calculate Diameter given Displacement Velocity by Camp?
The Diameter given Displacement Velocity by Camp is defined as the distance from one side to the opposite side of a circle, measured by a line passing through the center of the circle is calculated using Diameter = Displacement velocity^2*Darcy Friction Factor/(8*Beta Constant*[g]*(Density of Particle-1)). To calculate Diameter given Displacement Velocity by Camp, you need Displacement velocity (vd), Darcy Friction Factor (f), Beta Constant (β) & Density of Particle p). With our tool, you need to enter the respective value for Displacement velocity, Darcy Friction Factor, Beta Constant & Density of Particle 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 Diameter?
In this formula, Diameter uses Displacement velocity, Darcy Friction Factor, Beta Constant & Density of Particle. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • Diameter = (6*Volume of One Particle/pi)^(1/3)
  • Diameter = (3*Drag Coefficient*Settling Velocity^2)/(4*[g]*(Specific gravity of particle-1))
  • Diameter = Dynamic Viscosity*Reynolds Number/(Liquid Density*Settling Velocity)
  • Diameter = sqrt(18*Settling Velocity*Dynamic Viscosity/[g]*(Mass Density-Liquid Density))
  • Diameter = sqrt(Settling Velocity*18*Kinematic Viscosity/[g]*(Specific gravity of particle-Specific Gravity of Fluid))
  • Diameter = sqrt(Settling Velocity*Kinematic Viscosity*18/[g]*(Specific gravity of particle-1))
  • Diameter = sqrt(Settling Velocity/418*(Specific gravity of particle-Specific Gravity of Fluid))
  • Diameter = sqrt(Settling Velocity/418*(Specific gravity of particle-Specific Gravity of Fluid)*((Outside Temperature+10)/60))
  • Diameter = sqrt(Settling Velocity*100/418*(Specific gravity of particle-Specific Gravity of Fluid)*(3*Temperature+70))
  • Diameter = Settling Velocity*60/418*(Specific gravity of particle-Specific Gravity of Fluid)*(Temperature in Fahrenheit+10)
  • Diameter = Settling Velocity*100/418*(Specific gravity of particle-Specific Gravity of Fluid)*(3*Temperature in Fahrenheit+70)
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