Diameter of Particle given Settling Velocity with respect to Specific Gravity 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%
✖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 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 of Particle given Settling Velocity with respect to Specific Gravity [d]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Diameter of Sediment Particle Formulas PDF PDF Image

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

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of a Spherical Particle = (3*Drag Coefficient*Settling Velocity of Particles^2)/(4*[g]*(Specific Gravity of Spherical Particle-1))
d = (3*C_D*v_s^2)/(4*[g]*(G_s-1))
This formula uses 1 Constants, 4 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.
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.
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

Drag Coefficient: 1200 --> No Conversion Required
Settling Velocity of Particles: 0.0016 Meter per Second --> 0.0016 Meter per Second No Conversion Required
Specific Gravity of Spherical Particle: 2.7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = (3*C_D*v_s^2)/(4*[g]*(G_s-1)) --> (3*1200*0.0016^2)/(4*[g]*(2.7-1))

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)

You are here -

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

Credits

Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has created this Calculator and 500+ more calculators!

Verified by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has verified this Calculator and 500+ more calculators!

< 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 with respect to Specific Gravity Formula

LaTeX Go

Diameter of a Spherical Particle = (3*Drag Coefficient*Settling Velocity of Particles^2)/(4*[g]*(Specific Gravity of Spherical Particle-1))
d = (3*C_D*v_s^2)/(4*[g]*(G_s-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 of a Spherical Particle = (3*Drag Coefficient*Settling Velocity of Particles^2)/(4*[g]*(Specific Gravity of Spherical Particle-1)) to calculate the Diameter of a Spherical Particle, The Diameter of Particle given Settling Velocity with respect to Specific Gravity formula is defined as the the size or diameter of a particle that is calculated based on its settling velocity in a fluid, taking into account the specific gravity of the particle. Diameter of a Spherical Particle 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 of Particles (v_s) & Specific Gravity of Spherical Particle (G_s) 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 -> 0.000138 = (3*1200*0.0016^2)/(4*[g]*(2.7-1)).

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 formula is defined as the the size or diameter of a particle that is calculated based on its settling velocity in a fluid, taking into account the specific gravity of the particle and is represented as d = (3*C_D*v_s^2)/(4*[g]*(G_s-1)) or Diameter of a Spherical Particle = (3*Drag Coefficient*Settling Velocity of Particles^2)/(4*[g]*(Specific Gravity of Spherical Particle-1)). 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, Settling Velocity of particles refers to the rate at which a particle sinks through a fluid under the influence of gravity & The Specific Gravity of Spherical Particle is the ratio of its density to the density of water (at 4°C).

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 formula is defined as the the size or diameter of a particle that is calculated based on its settling velocity in a fluid, taking into account the specific gravity of the particle is calculated using Diameter of a Spherical Particle = (3*Drag Coefficient*Settling Velocity of Particles^2)/(4*[g]*(Specific Gravity of Spherical Particle-1)). To calculate Diameter of Particle given Settling Velocity with respect to Specific Gravity, you need Drag Coefficient (C_D), Settling Velocity of Particles (v_s) & Specific Gravity of Spherical Particle (G_s). With our tool, you need to enter the respective value for Drag Coefficient, Settling Velocity of Particles & 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 Drag Coefficient, Settling Velocity of Particles & 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 = (Dynamic Viscosity*Reynold Number)/(Mass Density of Fluid*Settling Velocity of Particles)

Home

FREE PDFs

🔍 Search