Diameter of Particle given Settling Velocity Calculator

✖The Drag Coefficient refers to the 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%
✖Mass Density of Fluid refers to the mass per unit volume of the fluid, typically expressed in kilograms per cubic meter (kg/m³).ⓘ Mass Density of Fluid [ρ_f]			+10% -10%
✖Settling Velocity of particles refers to the rate at which a particle sinks through a fluid under the influence of gravity.ⓘ Settling Velocity of Particles [v_s]			+10% -10%
✖Mass Density of Particles refers to the mass of a particle per unit volume, typically expressed in kilograms per cubic meter (kg/m³).ⓘ Mass Density of Particles [ρ_m]			+10% -10%

✖The Diameter of a Spherical Particle is the distance across the sphere, passing through its center.ⓘ Diameter of Particle given Settling Velocity [d]

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Diameter of Particle given Settling Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of a Spherical Particle = (3*Drag Coefficient*Mass Density of Fluid*Settling Velocity of Particles^2)/(4*[g]*(Mass Density of Particles-Mass Density of Fluid))
d = (3*C_D*ρ_f*v_s^2)/(4*[g]*(ρ_m-ρ_f))
This formula uses 1 Constants, 5 Variables

Constants Used

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

Variables Used

Diameter of a Spherical Particle - (Measured in Meter) - The Diameter of a Spherical Particle is the distance across the sphere, passing through its center.
Drag Coefficient - The Drag Coefficient refers to the dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.
Mass Density of Fluid - (Measured in Kilogram per Cubic Meter) - Mass Density of Fluid refers to the mass per unit volume of the fluid, typically expressed in kilograms per cubic meter (kg/m³).
Settling Velocity of Particles - (Measured in Meter per Second) - Settling Velocity of particles refers to the rate at which a particle sinks through a fluid under the influence of gravity.
Mass Density of Particles - (Measured in Kilogram per Cubic Meter) - Mass Density of Particles refers to the mass of a particle per unit volume, typically expressed in kilograms per cubic meter (kg/m³).

STEP 1: Convert Input(s) to Base Unit

Drag Coefficient: 1200 --> No Conversion Required
Mass Density of Fluid: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required
Settling Velocity of Particles: 0.0016 Meter per Second --> 0.0016 Meter per Second No Conversion Required
Mass Density of Particles: 2700 Kilogram per Cubic Meter --> 2700 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = (3*C_D*ρ_f*v_s^2)/(4*[g]*(ρ_m-ρ_f)) --> (3*1200*1000*0.0016^2)/(4*[g]*(2700-1000))

Evaluating ... ...

d = 0.000138201538511832

STEP 3: Convert Result to Output's Unit

0.000138201538511832 Meter --> No Conversion Required

FINAL ANSWER

0.000138201538511832 ≈ 0.000138 Meter <-- Diameter of a Spherical Particle

(Calculation completed in 00.004 seconds)

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< Diameter of Sediment Particle Calculators

Diameter of Particle given Settling Velocity

LaTeX Go Diameter of a Spherical Particle = (3*Drag Coefficient*Mass Density of Fluid*Settling Velocity of Particles^2)/(4*[g]*(Mass Density of Particles-Mass Density of Fluid))

Diameter of Particle given Settling Velocity with respect to Specific Gravity

LaTeX Go Diameter of a Spherical Particle = (3*Drag Coefficient*Settling Velocity of Particles^2)/(4*[g]*(Specific Gravity of Spherical Particle-1))

Diameter of Particle given Particle Reynold's Number

LaTeX Go Diameter of a Spherical Particle = (Dynamic Viscosity*Reynold Number)/(Mass Density of Fluid*Settling Velocity of Particles)

Diameter of Particle given Volume of Particle

LaTeX Go Diameter of a Spherical Particle = (6*Volume of One Particle/pi)^(1/3)

Diameter of Particle given Settling Velocity Formula

LaTeX Go

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 Diameter of a Spherical Particle = (3*Drag Coefficient*Mass Density of Fluid*Settling Velocity of Particles^2)/(4*[g]*(Mass Density of Particles-Mass Density of Fluid)) to calculate the Diameter of a Spherical Particle, The Diameter of Particle given Settling Velocity formula is defined as the size of a particle that can be determined based on its settling velocity through a fluid, typically water. Diameter of a Spherical Particle is denoted by d 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 (C_D), Mass Density of Fluid (ρ_f), Settling Velocity of Particles (v_s) & Mass Density of Particles (ρ_m) and hit the calculate button. Here is how the Diameter of Particle given Settling Velocity calculation can be explained with given input values -> 0.000138 = (3*1200*1000*0.0016^2)/(4*[g]*(2700-1000)).

FAQ

What is Diameter of Particle given Settling Velocity?

The Diameter of Particle given Settling Velocity formula is defined as the size of a particle that can be determined based on its settling velocity through a fluid, typically water and is represented as d = (3*C_D*ρ_f*v_s^2)/(4*[g]*(ρ_m-ρ_f)) or Diameter of a Spherical Particle = (3*Drag Coefficient*Mass Density of Fluid*Settling Velocity of Particles^2)/(4*[g]*(Mass Density of Particles-Mass Density of Fluid)). The Drag Coefficient refers to the dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water, Mass Density of Fluid refers to the mass per unit volume of the fluid, typically expressed in kilograms per cubic meter (kg/m³), Settling Velocity of particles refers to the rate at which a particle sinks through a fluid under the influence of gravity & Mass Density of Particles refers to the mass of a particle per unit volume, typically expressed in kilograms per cubic meter (kg/m³).

How to calculate Diameter of Particle given Settling Velocity?

The Diameter of Particle given Settling Velocity formula is defined as the size of a particle that can be determined based on its settling velocity through a fluid, typically water is calculated using Diameter of a Spherical Particle = (3*Drag Coefficient*Mass Density of Fluid*Settling Velocity of Particles^2)/(4*[g]*(Mass Density of Particles-Mass Density of Fluid)). To calculate Diameter of Particle given Settling Velocity, you need Drag Coefficient (C_D), Mass Density of Fluid (ρ_f), Settling Velocity of Particles (v_s) & Mass Density of Particles (ρ_m). With our tool, you need to enter the respective value for Drag Coefficient, Mass Density of Fluid, Settling Velocity of Particles & Mass Density of Particles 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 of a Spherical Particle?

In this formula, Diameter of a Spherical Particle uses Drag Coefficient, Mass Density of Fluid, Settling Velocity of Particles & Mass Density of Particles. We can use 3 other way(s) to calculate the same, which is/are as follows -

Diameter of a Spherical Particle = (6*Volume of One Particle/pi)^(1/3)
Diameter of a Spherical Particle = (3*Drag Coefficient*Settling Velocity of Particles^2)/(4*[g]*(Specific Gravity of Spherical Particle-1))
Diameter of a Spherical Particle = (Dynamic Viscosity*Reynold Number)/(Mass Density of Fluid*Settling Velocity of Particles)

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