Diameter given Specific Gravity of Particle and 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%

✖The Diameter of a Spherical Particle is the distance across the sphere, passing through its center.ⓘ Diameter given Specific Gravity of Particle and Viscosity [d]

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Diameter given Specific Gravity of Particle and Viscosity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of a Spherical Particle = sqrt((Settling Velocity of Particles*Kinematic Viscosity*18)/([g]*(Specific Gravity of Spherical Particle-1)))
d = sqrt((v_s*ν*18)/([g]*(G_s-1)))
This formula uses 1 Constants, 1 Functions, 4 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).

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = sqrt((v_s*ν*18)/([g]*(G_s-1))) --> sqrt((0.0016*0.000725*18)/([g]*(2.7-1)))

Evaluating ... ...

d = 0.00111912977029631

STEP 3: Convert Result to Output's Unit

0.00111912977029631 Meter --> No Conversion Required

FINAL ANSWER

0.00111912977029631 ≈ 0.001119 Meter <-- Diameter of a Spherical Particle

(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 given Specific Gravity of Particle and Viscosity

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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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< Diameter of Sediment Particle Calculators

Diameter of Particle given Settling Velocity

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

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

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

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

Diameter given Specific Gravity of Particle and Viscosity Formula

Diameter of a Spherical Particle = sqrt((Settling Velocity of Particles*Kinematic Viscosity*18)/([g]*(Specific Gravity of Spherical Particle-1)))
d = sqrt((v_s*ν*18)/([g]*(G_s-1)))

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 given Specific Gravity of Particle and Viscosity?

Diameter given Specific Gravity of Particle and Viscosity calculator uses Diameter of a Spherical Particle = sqrt((Settling Velocity of Particles*Kinematic Viscosity*18)/([g]*(Specific Gravity of Spherical Particle-1))) to calculate the Diameter of a Spherical Particle, The Diameter given Specific Gravity of Particle and Viscosity formula is defined as the calculation of the diameter of a particle suspended in a fluid, which depends on both the particle's specific gravity and the fluid's viscosity. Diameter of a Spherical Particle is denoted by d symbol.

How to calculate Diameter given Specific Gravity of Particle and Viscosity using this online calculator? To use this online calculator for Diameter given Specific Gravity of Particle and Viscosity, enter Settling Velocity of Particles (v_s), Kinematic Viscosity (ν) & Specific Gravity of Spherical Particle (G_s) and hit the calculate button. Here is how the Diameter given Specific Gravity of Particle and Viscosity calculation can be explained with given input values -> 0.001119 = sqrt((0.0016*0.000725*18)/([g]*(2.7-1))).

FAQ

What is Diameter given Specific Gravity of Particle and Viscosity?

The Diameter given Specific Gravity of Particle and Viscosity formula is defined as the calculation of the diameter of a particle suspended in a fluid, which depends on both the particle's specific gravity and the fluid's viscosity and is represented as d = sqrt((v_s*ν*18)/([g]*(G_s-1))) or Diameter of a Spherical Particle = sqrt((Settling Velocity of Particles*Kinematic Viscosity*18)/([g]*(Specific Gravity of Spherical Particle-1))). 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).

How to calculate Diameter given Specific Gravity of Particle and Viscosity?

The Diameter given Specific Gravity of Particle and Viscosity formula is defined as the calculation of the diameter of a particle suspended in a fluid, which depends on both the particle's specific gravity and the fluid's viscosity is calculated using Diameter of a Spherical Particle = sqrt((Settling Velocity of Particles*Kinematic Viscosity*18)/([g]*(Specific Gravity of Spherical Particle-1))). To calculate Diameter given Specific Gravity of Particle and Viscosity, you need Settling Velocity of Particles (v_s), Kinematic Viscosity (ν) & Specific Gravity of Spherical Particle (G_s). With our tool, you need to enter the respective value for Settling Velocity of Particles, Kinematic Viscosity & Specific Gravity of Spherical 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 of a Spherical Particle?

In this formula, Diameter of a Spherical Particle uses Settling Velocity of Particles, Kinematic Viscosity & Specific Gravity of Spherical Particle. 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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