Diameter for Settling Velocity with respect to Kinematic Viscosity Calculator

✖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%
✖The Kinematic Viscosity refers to the ratio of dynamic viscosity to the density of the fluid.ⓘ Kinematic Viscosity [ν]			+10% -10%
✖The Specific Gravity of Spherical Particle is the ratio of its density to the density of water (at 4°C).ⓘ Specific Gravity of Spherical Particle [G_s]			+10% -10%
✖Specific Gravity of Fluid refers to is the ratio of the fluid’s density to the density of water at a standard temperature (usually 4°C).ⓘ Specific Gravity of Fluid [G_w]			+10% -10%

✖The Diameter of a Spherical Particle is the distance across the sphere, passing through its center.ⓘ Diameter for Settling Velocity with respect to Kinematic Viscosity [d]

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Diameter for Settling Velocity with respect to Kinematic Viscosity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of a Spherical Particle = sqrt((Settling Velocity of Particles*18*Kinematic Viscosity)/([g]*(Specific Gravity of Spherical Particle-Specific Gravity of Fluid)))
d = sqrt((v_s*18*ν)/([g]*(G_s-G_w)))
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

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

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 a Spherical Particle - (Measured in Meter) - The Diameter of a Spherical Particle is the distance across the sphere, passing through its center.
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.
Kinematic Viscosity - (Measured in Square Meter per Second) - The Kinematic Viscosity refers to the ratio of dynamic viscosity to the density of the fluid.
Specific Gravity of Spherical Particle - The Specific Gravity of Spherical Particle is the ratio of its density to the density of water (at 4°C).
Specific Gravity of Fluid - Specific Gravity of Fluid refers to is the ratio of the fluid’s density to the density of water at a standard temperature (usually 4°C).

STEP 1: Convert Input(s) to Base Unit

Settling Velocity of Particles: 0.0016 Meter per Second --> 0.0016 Meter per Second No Conversion Required
Kinematic Viscosity: 7.25 Stokes --> 0.000725 Square Meter per Second (Check conversion here)
Specific Gravity of Spherical Particle: 2.7 --> No Conversion Required
Specific Gravity of Fluid: 1.001 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = sqrt((v_s*18*ν)/([g]*(G_s-G_w))) --> sqrt((0.0016*18*0.000725)/([g]*(2.7-1.001)))

Evaluating ... ...

d = 0.00111945907139813

STEP 3: Convert Result to Output's Unit

0.00111945907139813 Meter --> No Conversion Required

FINAL ANSWER

0.00111945907139813 ≈ 0.001119 Meter <-- Diameter of a Spherical Particle

(Calculation completed in 00.020 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 for Settling Velocity with respect to Kinematic Viscosity Formula

LaTeX Go

What is Kinematic Viscosity?

Kinematic Viscosity is a measure of a fluid's internal resistance to flow under gravitational forces. It is determined by measuring the time in seconds, required for a fixed volume of fluid to flow a known distance by gravity through a capillary within a calibrated viscometer at a closely controlled temperature.

How to Calculate Diameter for Settling Velocity with respect to Kinematic Viscosity?

Diameter for Settling Velocity with respect to Kinematic Viscosity calculator uses Diameter of a Spherical Particle = sqrt((Settling Velocity of Particles*18*Kinematic Viscosity)/([g]*(Specific Gravity of Spherical Particle-Specific Gravity of Fluid))) to calculate the Diameter of a Spherical Particle, The Diameter for Settling Velocity with respect to Kinematic Viscosity formula is defined as the calculation of the diameter of a particle (usually a solid suspended in a fluid) that is used in the context of determining its settling velocity in a fluid medium. Diameter of a Spherical Particle is denoted by d symbol.

How to calculate Diameter for Settling Velocity with respect to Kinematic Viscosity using this online calculator? To use this online calculator for Diameter for Settling Velocity with respect to Kinematic Viscosity, enter Settling Velocity of Particles (v_s), Kinematic Viscosity (ν), Specific Gravity of Spherical Particle (G_s) & Specific Gravity of Fluid (G_w) and hit the calculate button. Here is how the Diameter for Settling Velocity with respect to Kinematic Viscosity calculation can be explained with given input values -> 0.001119 = sqrt((0.0016*18*0.000725)/([g]*(2.7-1.001))).

FAQ

What is Diameter for Settling Velocity with respect to Kinematic Viscosity?

The Diameter for Settling Velocity with respect to Kinematic Viscosity formula is defined as the calculation of the diameter of a particle (usually a solid suspended in a fluid) that is used in the context of determining its settling velocity in a fluid medium and is represented as d = sqrt((v_s*18*ν)/([g]*(G_s-G_w))) or Diameter of a Spherical Particle = sqrt((Settling Velocity of Particles*18*Kinematic Viscosity)/([g]*(Specific Gravity of Spherical Particle-Specific Gravity of Fluid))). Settling Velocity of particles refers to the rate at which a particle sinks through a fluid under the influence of gravity, The Kinematic Viscosity refers to the ratio of dynamic viscosity to the density of the fluid, The Specific Gravity of Spherical Particle is the ratio of its density to the density of water (at 4°C) & Specific Gravity of Fluid refers to is the ratio of the fluid’s density to the density of water at a standard temperature (usually 4°C).

How to calculate Diameter for Settling Velocity with respect to Kinematic Viscosity?

The Diameter for Settling Velocity with respect to Kinematic Viscosity formula is defined as the calculation of the diameter of a particle (usually a solid suspended in a fluid) that is used in the context of determining its settling velocity in a fluid medium is calculated using Diameter of a Spherical Particle = sqrt((Settling Velocity of Particles*18*Kinematic Viscosity)/([g]*(Specific Gravity of Spherical Particle-Specific Gravity of Fluid))). To calculate Diameter for Settling Velocity with respect to Kinematic Viscosity, you need Settling Velocity of Particles (v_s), Kinematic Viscosity (ν), Specific Gravity of Spherical Particle (G_s) & Specific Gravity of Fluid (G_w). With our tool, you need to enter the respective value for Settling Velocity of Particles, Kinematic Viscosity, Specific Gravity of Spherical Particle & Specific Gravity of Fluid 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 Settling Velocity of Particles, Kinematic Viscosity, Specific Gravity of Spherical Particle & Specific Gravity of Fluid. 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*Mass Density of Fluid*Settling Velocity of Particles^2)/(4*[g]*(Mass Density of Particles-Mass Density of Fluid))
Diameter of a Spherical Particle = (3*Drag Coefficient*Settling Velocity of Particles^2)/(4*[g]*(Specific Gravity of Spherical Particle-1))

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