Diameter of Particle given Settling Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Effective Particle Diameter = 3*Drag Coefficient*Liquid Density*Settling Velocity^2/(4*[g]*(Density of Particle-Liquid Density))
DE = 3*CD*ρliquid*vs^2/(4*[g]*(ρp-ρliquid))
This formula uses 1 Constants, 5 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Effective Particle Diameter - (Measured in Meter) - The Effective Particle Diameter is the diameter of the particles in a granular sample for which 10 percent of the total grains are smaller and 90 percent larger on a weight basis.
Drag Coefficient - Drag Coefficient is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.
Liquid Density - (Measured in Kilogram per Cubic Meter) - Liquid Density is mass per unit volume of the liquid.
Settling Velocity - (Measured in Meter per Second) - Settling velocity is defined as the terminal velocity of a particle in still fluid.
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
Drag Coefficient: 30 --> No Conversion Required
Liquid Density: 49 Kilogram per Cubic Meter --> 49 Kilogram per Cubic Meter No Conversion Required
Settling Velocity: 1.5 Meter per Second --> 1.5 Meter per Second 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
DE = 3*CDliquid*vs^2/(4*[g]*(ρpliquid)) --> 3*30*49*1.5^2/(4*[g]*(12000000-49))
Evaluating ... ...
DE = 2.10795321649095E-05
STEP 3: Convert Result to Output's Unit
2.10795321649095E-05 Meter -->0.0210795321649095 Millimeter (Check conversion here)
FINAL ANSWER
0.0210795321649095 0.02108 Millimeter <-- Effective Particle Diameter
(Calculation completed in 00.020 seconds)

Credits

Created by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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Verified by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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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 of Particle given Settling Velocity Formula

Effective Particle Diameter = 3*Drag Coefficient*Liquid Density*Settling Velocity^2/(4*[g]*(Density of Particle-Liquid Density))
DE = 3*CD*ρliquid*vs^2/(4*[g]*(ρp-ρliquid))

What is Settling Velocity?

The Settling velocity is defined as the terminal velocity of a particle in still fluid. It gives the settling velocity for a spherical particle settling under the action of gravity under the condition that Re ≪ 1 and diameter ≫ mean free path.

How to Calculate Diameter of Particle given Settling Velocity?

Diameter of Particle given Settling Velocity calculator uses Effective Particle Diameter = 3*Drag Coefficient*Liquid Density*Settling Velocity^2/(4*[g]*(Density of Particle-Liquid Density)) to calculate the Effective Particle Diameter, The Diameter of Particle given Settling Velocity is defined as any straight line segment that passes through centre of circle and whose endpoints lie on circle. Effective Particle Diameter is denoted by DE symbol.

How to calculate Diameter of Particle given Settling Velocity using this online calculator? To use this online calculator for Diameter of Particle given Settling Velocity, enter Drag Coefficient (CD), Liquid Density liquid), Settling Velocity (vs) & Density of Particle p) and hit the calculate button. Here is how the Diameter of Particle given Settling Velocity calculation can be explained with given input values -> 21.07953 = 3*30*49*1.5^2/(4*[g]*(12000000-49)).

FAQ

What is Diameter of Particle given Settling Velocity?
The Diameter of Particle given Settling Velocity is defined as any straight line segment that passes through centre of circle and whose endpoints lie on circle and is represented as DE = 3*CDliquid*vs^2/(4*[g]*(ρpliquid)) or Effective Particle Diameter = 3*Drag Coefficient*Liquid Density*Settling Velocity^2/(4*[g]*(Density of Particle-Liquid Density)). Drag Coefficient is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water, Liquid Density is mass per unit volume of the liquid, Settling velocity is defined as the terminal velocity of a particle in still fluid & 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 of Particle given Settling Velocity?
The Diameter of Particle given Settling Velocity is defined as any straight line segment that passes through centre of circle and whose endpoints lie on circle is calculated using Effective Particle Diameter = 3*Drag Coefficient*Liquid Density*Settling Velocity^2/(4*[g]*(Density of Particle-Liquid Density)). To calculate Diameter of Particle given Settling Velocity, you need Drag Coefficient (CD), Liquid Density liquid), Settling Velocity (vs) & Density of Particle p). With our tool, you need to enter the respective value for Drag Coefficient, Liquid Density, Settling Velocity & Density of Particle 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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