Settling Velocity with respect to Diameter of Particle Calculator

✖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%
✖Diameter of Particle is the measurement of the size of individual particles in a soil or sediment sample.ⓘ Diameter of Particle [D_p]			+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%

✖Settling Velocity given Diameter of Particle is the velocity at which a particle settles through a fluid under the influence of gravity. This velocity is influenced by the particle's size.ⓘ Settling Velocity with respect to Diameter of Particle [V_sd]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Theory of Type 1 Settling Formulas PDF PDF Image

Settling Velocity with respect to Diameter of Particle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Settling Velocity given Diameter of Particle = ((Acceleration due to Gravity*(Specific Gravity of Sediment-1)*(Diameter of Particle)^(1.6))/(13.88*(Kinematic Viscosity)^(0.6)))^(0.714)
V_sd = ((g*(G-1)*(D_p)^(1.6))/(13.88*(ν)^(0.6)))^(0.714)
This formula uses 5 Variables

Variables Used

Settling Velocity given Diameter of Particle - (Measured in Meter per Second) - Settling Velocity given Diameter of Particle is the velocity at which a particle settles through a fluid under the influence of gravity. This velocity is influenced by the particle's size.
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.
Diameter of Particle - (Measured in Meter) - Diameter of Particle is the measurement of the size of individual particles in a soil or sediment sample.
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

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
Diameter of Particle: 0.01 Meter --> 0.01 Meter 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

V_sd = ((g*(G-1)*(D_p)^(1.6))/(13.88*(ν)^(0.6)))^(0.714) --> ((9.8*(1.006-1)*(0.01)^(1.6))/(13.88*(0.00102)^(0.6)))^(0.714)

Evaluating ... ...

V_sd = 0.002006249855305

STEP 3: Convert Result to Output's Unit

0.002006249855305 Meter per Second --> No Conversion Required

FINAL ANSWER

0.002006249855305 ≈ 0.002006 Meter per Second <-- Settling Velocity given Diameter of Particle

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Environmental Engineering » Treatment of Sewage » Theory of Type 1 Settling » Settling Velocity of Particle » Settling Velocity with respect to Diameter of Particle

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< Settling Velocity of Particle Calculators

Settling Velocity of Spherical Particle given Coefficient of Drag

LaTeX Go Settling Velocity of Particle given Coeff of Drag = sqrt(((4/3)*(Unit Weight of Particle-Unit Weight of Water)*Diameter of Particle)/(Water Density*Coefficient of Drag))

Settling Velocity given Specific Gravity of Particle

LaTeX Go Settling Velocity given Specific Gravity = sqrt(((4/3)*Acceleration due to Gravity*(Specific Gravity of Sediment-1)*Diameter of Particle)/Coefficient of Drag)

Settling Velocity of Spherical Particle

LaTeX Go Settling Velocity of Spherical Particle = (Acceleration due to Gravity/18)*(Specific Gravity of Sediment-1)*((Diameter of Particle)^2/Kinematic Viscosity)

Settling Velocity of Spherical Particle given Reynold Number

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

Settling Velocity with respect to Diameter of Particle Formula

LaTeX Go

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 Settling Velocity with respect to Diameter of Particle?

Settling Velocity with respect to Diameter of Particle calculator uses Settling Velocity given Diameter of Particle = ((Acceleration due to Gravity*(Specific Gravity of Sediment-1)*(Diameter of Particle)^(1.6))/(13.88*(Kinematic Viscosity)^(0.6)))^(0.714) to calculate the Settling Velocity given Diameter of Particle, The Settling Velocity with respect to Diameter of Particle formula is defined as the velocity at which a particle settles through a fluid under the influence of gravity. This velocity is influenced by the particle's size, shape, and density. Settling Velocity given Diameter of Particle is denoted by V_sd symbol.

How to calculate Settling Velocity with respect to Diameter of Particle using this online calculator? To use this online calculator for Settling Velocity with respect to Diameter of Particle, enter Acceleration due to Gravity (g), Specific Gravity of Sediment (G), Diameter of Particle (D_p) & Kinematic Viscosity (ν) and hit the calculate button. Here is how the Settling Velocity with respect to Diameter of Particle calculation can be explained with given input values -> 0.002006 = ((9.8*(1.006-1)*(0.01)^(1.6))/(13.88*(0.00102)^(0.6)))^(0.714).

FAQ

What is Settling Velocity with respect to Diameter of Particle?

The Settling Velocity with respect to Diameter of Particle formula is defined as the velocity at which a particle settles through a fluid under the influence of gravity. This velocity is influenced by the particle's size, shape, and density and is represented as V_sd = ((g*(G-1)*(D_p)^(1.6))/(13.88*(ν)^(0.6)))^(0.714) or Settling Velocity given Diameter of Particle = ((Acceleration due to Gravity*(Specific Gravity of Sediment-1)*(Diameter of Particle)^(1.6))/(13.88*(Kinematic Viscosity)^(0.6)))^(0.714). 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, Diameter of Particle is the measurement of the size of individual particles in a soil or sediment sample & 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 Settling Velocity with respect to Diameter of Particle?

The Settling Velocity with respect to Diameter of Particle formula is defined as the velocity at which a particle settles through a fluid under the influence of gravity. This velocity is influenced by the particle's size, shape, and density is calculated using Settling Velocity given Diameter of Particle = ((Acceleration due to Gravity*(Specific Gravity of Sediment-1)*(Diameter of Particle)^(1.6))/(13.88*(Kinematic Viscosity)^(0.6)))^(0.714). To calculate Settling Velocity with respect to Diameter of Particle, you need Acceleration due to Gravity (g), Specific Gravity of Sediment (G), Diameter of Particle (D_p) & Kinematic Viscosity (ν). With our tool, you need to enter the respective value for Acceleration due to Gravity, Specific Gravity of Sediment, Diameter of Particle & Kinematic Viscosity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search