Diameter of Particle given Settling Velocity with respect to Specific Gravity Calculator

✖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.ⓘ Drag Coefficient [C_D]			+10% -10%
✖Settling velocity is defined as the terminal velocity of a particle in still fluid.ⓘ Settling Velocity [v_s]			+10% -10%
✖Specific gravity of particle is the ratio of density of particle to density of standard material.ⓘ Specific gravity of particle [G]			+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 of Particle given Settling Velocity with respect to Specific Gravity [D]

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Formula

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Diameter of Particle given Settling Velocity with respect to Specific Gravity

Formula

`"D" = (3*"C"_{"D"}*"v"_{"s"}^2)/(4*"[g]"*("G"-1))`

Example

`"0.344154m"=(3*"30"*("1.5m/s")^2)/(4*"[g]"*("16"-1))`

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Diameter of Particle given Settling Velocity with respect to Specific Gravity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter = (3*Drag Coefficient*Settling Velocity^2)/(4*[g]*(Specific gravity of particle-1))
D = (3*C_D*v_s^2)/(4*[g]*(G-1))
This formula uses 1 Constants, 4 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.
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.
Settling Velocity - (Measured in Meter per Second) - Settling velocity is defined as the terminal velocity of a particle in still fluid.
Specific gravity of particle - Specific gravity of particle is the ratio of density of particle to density of standard material.

STEP 1: Convert Input(s) to Base Unit

Drag Coefficient: 30 --> No Conversion Required
Settling Velocity: 1.5 Meter per Second --> 1.5 Meter per Second No Conversion Required
Specific gravity of particle: 16 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = (3*C_D*v_s^2)/(4*[g]*(G-1)) --> (3*30*1.5^2)/(4*[g]*(16-1))

Evaluating ... ...

D = 0.344154221880051

STEP 3: Convert Result to Output's Unit

0.344154221880051 Meter --> No Conversion Required

FINAL ANSWER

0.344154221880051 ≈ 0.344154 Meter <-- Diameter

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Treatment of Water 1: Sedimentation » Diameter of Sediment Particle » Diameter of Particle given Settling Velocity with respect to Specific Gravity

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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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< 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 with respect to Specific Gravity Formula

Diameter = (3*Drag Coefficient*Settling Velocity^2)/(4*[g]*(Specific gravity of particle-1))
D = (3*C_D*v_s^2)/(4*[g]*(G-1))

What is specific gravity?

Specific gravity is the ratio between the density of an object, and a reference substance. The specific gravity can tell us, based on its value, if the object will sink or float in our reference substance.

How to Calculate Diameter of Particle given Settling Velocity with respect to Specific Gravity?

Diameter of Particle given Settling Velocity with respect to Specific Gravity calculator uses Diameter = (3*Drag Coefficient*Settling Velocity^2)/(4*[g]*(Specific gravity of particle-1)) to calculate the Diameter, The Diameter of Particle given Settling Velocity with respect to Specific Gravity is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. Diameter is denoted by D symbol.

How to calculate Diameter of Particle given Settling Velocity with respect to Specific Gravity using this online calculator? To use this online calculator for Diameter of Particle given Settling Velocity with respect to Specific Gravity, enter Drag Coefficient (C_D), Settling Velocity (v_s) & Specific gravity of particle (G) and hit the calculate button. Here is how the Diameter of Particle given Settling Velocity with respect to Specific Gravity calculation can be explained with given input values -> 0.344154 = (3*30*1.5^2)/(4*[g]*(16-1)).

FAQ

What is Diameter of Particle given Settling Velocity with respect to Specific Gravity?

The Diameter of Particle given Settling Velocity with respect to Specific Gravity is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle and is represented as D = (3*C_D*v_s^2)/(4*[g]*(G-1)) or Diameter = (3*Drag Coefficient*Settling Velocity^2)/(4*[g]*(Specific gravity of particle-1)). 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, Settling velocity is defined as the terminal velocity of a particle in still fluid & Specific gravity of particle is the ratio of density of particle to density of standard material.

How to calculate Diameter of Particle given Settling Velocity with respect to Specific Gravity?

The Diameter of Particle given Settling Velocity with respect to Specific Gravity is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle is calculated using Diameter = (3*Drag Coefficient*Settling Velocity^2)/(4*[g]*(Specific gravity of particle-1)). To calculate Diameter of Particle given Settling Velocity with respect to Specific Gravity, you need Drag Coefficient (C_D), Settling Velocity (v_s) & Specific gravity of particle (G). With our tool, you need to enter the respective value for Drag Coefficient, Settling Velocity & Specific gravity 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 Drag Coefficient, Settling Velocity & Specific gravity 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 = 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)
Diameter = Displacement velocity^2*Darcy Friction Factor/(8*Beta Constant*[g]*(Density of Particle-1))

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