Diameter of Particle given Settling Velocity of Spherical Particle Calculator

✖Settling Velocity of Spherical Particle is the constant speed at which a spherical particle falls through a fluid under the influence of gravity.ⓘ Settling Velocity of Spherical Particle [V_sp]			+10% -10%
✖Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖Specific Gravity of Sediment is the ratio of the density of sediment particles to the density of water.ⓘ Specific Gravity of Sediment [G]			+10% -10%
✖The Kinematic Viscosity is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.ⓘ Kinematic Viscosity [ν]			+10% -10%

✖Diameter of Particle is the measurement of the size of individual particles in a soil or sediment sample.ⓘ Diameter of Particle given Settling Velocity of Spherical Particle [D_p]

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Diameter of Particle given Settling Velocity of Spherical Particle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Particle = sqrt(Settling Velocity of Spherical Particle/((Acceleration due to Gravity/18)*(Specific Gravity of Sediment-1)*(1/Kinematic Viscosity)))
D_p = sqrt(V_sp/((g/18)*(G-1)*(1/ν)))
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Diameter of Particle - (Measured in Meter) - Diameter of Particle is the measurement of the size of individual particles in a soil or sediment sample.
Settling Velocity of Spherical Particle - (Measured in Meter per Second) - Settling Velocity of Spherical Particle is the constant speed at which a spherical particle falls through a fluid under the influence of gravity.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Specific Gravity of Sediment - Specific Gravity of Sediment is the ratio of the density of sediment particles to the density of water.
Kinematic Viscosity - (Measured in Square Meter per Second) - The Kinematic Viscosity is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.

STEP 1: Convert Input(s) to Base Unit

Settling Velocity of Spherical Particle: 0.00032 Meter per Second --> 0.00032 Meter per Second No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Specific Gravity of Sediment: 1.006 --> No Conversion Required
Kinematic Viscosity: 10.2 Stokes --> 0.00102 Square Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_p = sqrt(V_sp/((g/18)*(G-1)*(1/ν))) --> sqrt(0.00032/((9.8/18)*(1.006-1)*(1/0.00102)))

Evaluating ... ...

D_p = 0.00999591753402051

STEP 3: Convert Result to Output's Unit

0.00999591753402051 Meter --> No Conversion Required

FINAL ANSWER

0.00999591753402051 ≈ 0.009996 Meter <-- Diameter of Particle

(Calculation completed in 00.020 seconds)

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< Diameter of Particle Calculators

Diameter of Particle given Settling Velocity of Spherical Particle

LaTeX Go Diameter of Particle = sqrt(Settling Velocity of Spherical Particle/((Acceleration due to Gravity/18)*(Specific Gravity of Sediment-1)*(1/Kinematic Viscosity)))

Diameter of Particle given Settling Velocity within Transition Zone

LaTeX Go Diameter of Particle = ((Settling Velocity in Transition Zone)^(1/0.714)/(Acceleration due to Gravity*(Specific Gravity of Sediment-1))/(13.88*(Kinematic Viscosity)^(0.6)))^(1/1.6)

Diameter of Particle given Settling Velocity for Turbulent Settling

LaTeX Go Diameter of Particle = (Settling Velocity for Turbulent Settling/(1.8*sqrt(Acceleration due to Gravity*(Specific Gravity of Sediment-1))))^2

Diameter of Particle given Reynold Number

LaTeX Go Diameter of Particle = (Reynolds Number of Particle*Kinematic Viscosity)/Settling Velocity

Diameter of Particle given Settling Velocity of Spherical Particle Formula

LaTeX Go

Diameter of Particle = sqrt(Settling Velocity of Spherical Particle/((Acceleration due to Gravity/18)*(Specific Gravity of Sediment-1)*(1/Kinematic Viscosity)))
D_p = sqrt(V_sp/((g/18)*(G-1)*(1/ν)))

What is Settling Velocity?

The settling velocity (also referred to as the “sedimentation velocity”) is defined as the terminal velocity of a particle in still fluid.

How to Calculate Diameter of Particle given Settling Velocity of Spherical Particle?

Diameter of Particle given Settling Velocity of Spherical Particle calculator uses Diameter of Particle = sqrt(Settling Velocity of Spherical Particle/((Acceleration due to Gravity/18)*(Specific Gravity of Sediment-1)*(1/Kinematic Viscosity))) to calculate the Diameter of Particle, The Diameter of Particle given Settling Velocity of Spherical Particle formula is defined as the calculation of diameter of particle when we have prior information of settling velocity of particle. Diameter of Particle is denoted by D_p symbol.

How to calculate Diameter of Particle given Settling Velocity of Spherical Particle using this online calculator? To use this online calculator for Diameter of Particle given Settling Velocity of Spherical Particle, enter Settling Velocity of Spherical Particle (V_sp), Acceleration due to Gravity (g), Specific Gravity of Sediment (G) & Kinematic Viscosity (ν) and hit the calculate button. Here is how the Diameter of Particle given Settling Velocity of Spherical Particle calculation can be explained with given input values -> 0.009996 = sqrt(0.00032/((9.8/18)*(1.006-1)*(1/0.00102))).

FAQ

What is Diameter of Particle given Settling Velocity of Spherical Particle?

The Diameter of Particle given Settling Velocity of Spherical Particle formula is defined as the calculation of diameter of particle when we have prior information of settling velocity of particle and is represented as D_p = sqrt(V_sp/((g/18)*(G-1)*(1/ν))) or Diameter of Particle = sqrt(Settling Velocity of Spherical Particle/((Acceleration due to Gravity/18)*(Specific Gravity of Sediment-1)*(1/Kinematic Viscosity))). Settling Velocity of Spherical Particle is the constant speed at which a spherical particle falls through a fluid under the influence of gravity, Acceleration due to Gravity is acceleration gained by an object because of gravitational force, Specific Gravity of Sediment is the ratio of the density of sediment particles to the density of water & The Kinematic Viscosity is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.

How to calculate Diameter of Particle given Settling Velocity of Spherical Particle?

The Diameter of Particle given Settling Velocity of Spherical Particle formula is defined as the calculation of diameter of particle when we have prior information of settling velocity of particle is calculated using Diameter of Particle = sqrt(Settling Velocity of Spherical Particle/((Acceleration due to Gravity/18)*(Specific Gravity of Sediment-1)*(1/Kinematic Viscosity))). To calculate Diameter of Particle given Settling Velocity of Spherical Particle, you need Settling Velocity of Spherical Particle (V_sp), Acceleration due to Gravity (g), Specific Gravity of Sediment (G) & Kinematic Viscosity (ν). With our tool, you need to enter the respective value for Settling Velocity of Spherical Particle, Acceleration due to Gravity, Specific Gravity of Sediment & Kinematic Viscosity 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 Particle?

In this formula, Diameter of Particle uses Settling Velocity of Spherical Particle, Acceleration due to Gravity, Specific Gravity of Sediment & Kinematic Viscosity. We can use 3 other way(s) to calculate the same, which is/are as follows -

Diameter of Particle = (Reynolds Number of Particle*Kinematic Viscosity)/Settling Velocity
Diameter of Particle = ((Settling Velocity in Transition Zone)^(1/0.714)/(Acceleration due to Gravity*(Specific Gravity of Sediment-1))/(13.88*(Kinematic Viscosity)^(0.6)))^(1/1.6)
Diameter of Particle = (Settling Velocity for Turbulent Settling/(1.8*sqrt(Acceleration due to Gravity*(Specific Gravity of Sediment-1))))^2

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