Settling Velocity of Spherical Particle given Reynold Number Calculator

✖The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe.ⓘ Reynolds Number [Re]			+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 is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.ⓘ Diameter [D]			+10% -10%

✖Settling velocity is defined as the terminal velocity of a particle in still fluid.ⓘ Settling Velocity of Spherical Particle given Reynold Number [v_s]

⎘ Copy

👎

Formula

✖

Settling Velocity of Spherical Particle given Reynold Number

Formula

`"v"_{"s"} = ("Re"*"ν")/"D"`

Example

`"0.3625m/s"=("5000"*"7.25St")/"10m"`

Calculator

LaTeX

Reset

👍

Download Environmental Engineering Formula PDF

Settling Velocity of Spherical Particle given Reynold Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Settling Velocity = (Reynolds Number*Kinematic Viscosity)/Diameter
v_s = (Re*ν)/D
This formula uses 4 Variables

Variables Used

Settling Velocity - (Measured in Meter per Second) - Settling velocity is defined as the terminal velocity of a particle in still fluid.
Reynolds Number - The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe.
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.
Diameter - (Measured in Meter) - Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.

STEP 1: Convert Input(s) to Base Unit

Reynolds Number: 5000 --> No Conversion Required
Kinematic Viscosity: 7.25 Stokes --> 0.000725 Square Meter per Second (Check conversion here)
Diameter: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_s = (Re*ν)/D --> (5000*0.000725)/10

Evaluating ... ...

v_s = 0.3625

STEP 3: Convert Result to Output's Unit

0.3625 Meter per Second --> No Conversion Required

FINAL ANSWER

0.3625 Meter per Second <-- Settling Velocity

(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 of Spherical Particle given Reynold Number

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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

< 9 Settling Velocity of Particle Calculators

Settling Velocity of Spherical Particle given Coefficient of Drag

Go Settling Velocity = sqrt(((4/3)*(Unit weight of particle-Unit Weight of Liquid)*Diameter of Partical)/(Water Density*Coefficient of Drag))

Settling Velocity given Specific Gravity of Particle

Go Settling Velocity = sqrt(((4/3)*Acceleration due to Gravity*(Specific gravity of sediment-1)*Diameter of Partical)/Coefficient of Drag)

Settling Velocity with respect to Diameter of Particle

Go Settling Velocity = ((Acceleration due to Gravity*(Specific gravity of sediment-1)*(Diameter of Partical)^(1.6))/(13.88*(Kinematic Viscosity)^(0.6)))^(0.714)

Settling Velocity of Spherical Particle

Go Settling Velocity = (Acceleration due to Gravity/18)*(Specific gravity of sediment-1)*((Diameter of Partical)^2/Kinematic Viscosity)

Settling Velocity for Turbulent Settling

Go Settling Velocity = (1.8*sqrt(Acceleration due to Gravity*(Specific gravity of sediment-1)*Diameter of Partical))

Settling Velocity for Modified Hazen's Equation

Go Settling Velocity = (60.6*Diameter of Partical*(Specific gravity of sediment-1)*(((3*Temperature)+70)/100))

Settling Velocity of Spherical Particle given Reynold Number

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

Settling Velocity for Organic Matter

Go Settling velocity for organic solids = 0.12*Diameter of Partical*((3*Temperature)+70)

Settling Velocity for Inorganic Solids

Go Settling velocity for inorganic solids = (Diameter of Partical*((3*Temperature)+70))

Settling Velocity of Spherical Particle given Reynold Number Formula

Settling Velocity = (Reynolds Number*Kinematic Viscosity)/Diameter
v_s = (Re*ν)/D

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 of Spherical Particle given Reynold Number?

Settling Velocity of Spherical Particle given Reynold Number calculator uses Settling Velocity = (Reynolds Number*Kinematic Viscosity)/Diameter to calculate the Settling Velocity, Settling Velocity of Spherical Particle given Reynold Number is defined as speed at which particle falls through still fluid. Settling Velocity is denoted by v_s symbol.

How to calculate Settling Velocity of Spherical Particle given Reynold Number using this online calculator? To use this online calculator for Settling Velocity of Spherical Particle given Reynold Number, enter Reynolds Number (Re), Kinematic Viscosity (ν) & Diameter (D) and hit the calculate button. Here is how the Settling Velocity of Spherical Particle given Reynold Number calculation can be explained with given input values -> 0.3625 = (5000*0.000725)/10.

FAQ

What is Settling Velocity of Spherical Particle given Reynold Number?

Settling Velocity of Spherical Particle given Reynold Number is defined as speed at which particle falls through still fluid and is represented as v_s = (Re*ν)/D or Settling Velocity = (Reynolds Number*Kinematic Viscosity)/Diameter. The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe, The kinematic Viscosity is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid & Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.

How to calculate Settling Velocity of Spherical Particle given Reynold Number?

Settling Velocity of Spherical Particle given Reynold Number is defined as speed at which particle falls through still fluid is calculated using Settling Velocity = (Reynolds Number*Kinematic Viscosity)/Diameter. To calculate Settling Velocity of Spherical Particle given Reynold Number, you need Reynolds Number (Re), Kinematic Viscosity (ν) & Diameter (D). With our tool, you need to enter the respective value for Reynolds Number, Kinematic Viscosity & Diameter 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 Settling Velocity?

In this formula, Settling Velocity uses Reynolds Number, Kinematic Viscosity & Diameter. We can use 6 other way(s) to calculate the same, which is/are as follows -

Settling Velocity = (Acceleration due to Gravity/18)*(Specific gravity of sediment-1)*((Diameter of Partical)^2/Kinematic Viscosity)
Settling Velocity = sqrt(((4/3)*(Unit weight of particle-Unit Weight of Liquid)*Diameter of Partical)/(Water Density*Coefficient of Drag))
Settling Velocity = sqrt(((4/3)*Acceleration due to Gravity*(Specific gravity of sediment-1)*Diameter of Partical)/Coefficient of Drag)
Settling Velocity = ((Acceleration due to Gravity*(Specific gravity of sediment-1)*(Diameter of Partical)^(1.6))/(13.88*(Kinematic Viscosity)^(0.6)))^(0.714)
Settling Velocity = (1.8*sqrt(Acceleration due to Gravity*(Specific gravity of sediment-1)*Diameter of Partical))
Settling Velocity = (60.6*Diameter of Partical*(Specific gravity of sediment-1)*(((3*Temperature)+70)/100))

Home

FREE PDFs

🔍 Search