Settling Velocity given Frictional Drag Calculator

✖Drag Force is the resisting force experienced by an object moving through a fluid.ⓘ Drag Force [F_D]			+10% -10%
✖The area is the amount of two-dimensional space taken up by an object.ⓘ Area [A]			+10% -10%
✖Drag Coefficient is a 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%
✖Liquid Density is mass per unit volume of the liquid.ⓘ Liquid Density [ρ_liquid]			+10% -10%

✖Settling velocity is defined as the terminal velocity of a particle in still fluid.ⓘ Settling Velocity given Frictional Drag [v_s]

⎘ Copy

👎

Formula

✖

Settling Velocity given Frictional Drag

Formula

`"v"_{"s"} = sqrt(2*"F"_{"D"}/("A"*"C"_{"D"}*"ρ"_{"liquid"}))`

Example

`"0.046657m/s"=sqrt(2*"80N"/("50m²"*"30"*"49kg/m³"))`

Calculator

LaTeX

Reset

👍

Download Environmental Engineering Formula PDF

Settling Velocity given Frictional Drag Solution

STEP 0: Pre-Calculation Summary

Formula Used

Settling Velocity = sqrt(2*Drag Force/(Area*Drag Coefficient*Liquid Density))
v_s = sqrt(2*F_D/(A*C_D*ρ_liquid))
This formula uses 1 Functions, 5 Variables

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

Settling Velocity - (Measured in Meter per Second) - Settling velocity is defined as the terminal velocity of a particle in still fluid.
Drag Force - (Measured in Newton) - Drag Force is the resisting force experienced by an object moving through a fluid.
Area - (Measured in Square Meter) - The area is the amount of two-dimensional space taken up by an object.
Drag Coefficient - Drag Coefficient is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.
Liquid Density - (Measured in Kilogram per Cubic Meter) - Liquid Density is mass per unit volume of the liquid.

STEP 1: Convert Input(s) to Base Unit

Drag Force: 80 Newton --> 80 Newton No Conversion Required
Area: 50 Square Meter --> 50 Square Meter No Conversion Required
Drag Coefficient: 30 --> No Conversion Required
Liquid Density: 49 Kilogram per Cubic Meter --> 49 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_s = sqrt(2*F_D/(A*C_D*ρ_liquid)) --> sqrt(2*80/(50*30*49))

Evaluating ... ...

v_s = 0.0466569474815843

STEP 3: Convert Result to Output's Unit

0.0466569474815843 Meter per Second --> No Conversion Required

FINAL ANSWER

0.0466569474815843 ≈ 0.046657 Meter per Second <-- Settling Velocity

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Environmental Engineering » Treatment of Water 1: Sedimentation » Settling Velocity » Settling Velocity given Frictional Drag

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 600+ more calculators!

< 19 Settling Velocity Calculators

Settling Velocity

Go Settling Velocity = sqrt((4*[g]*(Density of Particle-Liquid Density)*Effective Particle Diameter)/(3*Drag Coefficient*Liquid Density))

Settling Velocity with respect to Kinematic Viscosity

Go Settling Velocity = [g]*(Specific Gravity of Material-Specific Gravity of Fluid)*Diameter^2/18*Kinematic Viscosity

Settling Velocity with respect to Dynamic Viscosity

Go Settling Velocity = [g]*(Density of Particle-Liquid Density)*Effective Particle Diameter^2/18*Dynamic Viscosity

Settling Velocity using Temperature in Fahrenheit

Go Settling Velocity = 418*(Specific gravity of particle-Specific Gravity of Fluid)*Effective Particle Diameter^2*((Outside Temperature+10)/60)

Settling Velocity with respect to Specific Gravity of Particle

Go Settling Velocity = sqrt((4*[g]*(Specific Gravity of Material-1)*Diameter)/(3*Drag Coefficient))

Settling Velocity given Celsius for diameter greater than 0.1mm

Go Settling Velocity = 418*(Specific gravity of particle-Specific Gravity of Fluid)*Diameter*(3*Temperature in Fahrenheit+70)/100

Settling Velocity given Fahrenheit for diameter greater than 0.1mm

Go Settling Velocity = 418*(Specific gravity of particle-Specific Gravity of Fluid)*Diameter*(Temperature in Fahrenheit+10)/60

Settling Velocity given degree Celsius

Go Settling Velocity = 418*(Specific gravity of particle-Specific Gravity of Fluid)*Diameter^2*((3*Temperature+70)/100)

Settling Velocity given Frictional Drag

Go Settling Velocity = sqrt(2*Drag Force/(Area*Drag Coefficient*Liquid Density))

Settling Velocity given Specific Gravity of Particle and Viscosity

Go Settling Velocity = [g]*(Specific gravity of particle-1)*Diameter^2/18*Kinematic Viscosity

Settling Velocity given Particle Reynold's Number

Go Settling Velocity = Dynamic Viscosity*Reynolds Number/(Liquid Density*Diameter)

Settling Velocity given Drag Force as per Stokes Law

Go Settling Velocity = Drag Force/3*pi*Dynamic Viscosity*Diameter

Settling Velocity at 10 degree Celsius

Go Settling Velocity = 418*(Specific gravity of particle-Specific Gravity of Fluid)*Diameter^2

Settling Velocity given Displacement Velocity for Fine Particles

Go Settling Velocity = Displacement velocity/sqrt(8/Darcy Friction Factor)

Settling Velocity given Height at Outlet Zone with respect to Settling Velocity

Go Settling Velocity = Falling Speed*Height of Crack/Outer Height

Settling Velocity given Surface Area with respect to Settling Velocity

Go Settling Velocity = Falling Speed*Cross-Sectional Area/Area

Settling Velocity given Ratio of Removal with respect to Settling Velocity

Go Settling Velocity = Falling Speed/Removal Ratio

Surface Loading with respect to Settling Velocity

Go Surface loading rate = 864000*Settling Velocity

Settling Velocity given Displacement Velocity with Settling Velocity

Go Settling Velocity = Displacement velocity/18

Settling Velocity given Frictional Drag Formula

Settling Velocity = sqrt(2*Drag Force/(Area*Drag Coefficient*Liquid Density))
v_s = sqrt(2*F_D/(A*C_D*ρ_liquid))

What is frictional drag?

Friction drag is a component of parasitic drag, which is resistant force exerted on an object moving in a fluid.

How to Calculate Settling Velocity given Frictional Drag?

Settling Velocity given Frictional Drag calculator uses Settling Velocity = sqrt(2*Drag Force/(Area*Drag Coefficient*Liquid Density)) to calculate the Settling Velocity, Settling Velocity given Frictional Drag is defined as terminal velocity of particle in still fluid. Settling Velocity is denoted by v_s symbol.

How to calculate Settling Velocity given Frictional Drag using this online calculator? To use this online calculator for Settling Velocity given Frictional Drag, enter Drag Force (F_D), Area (A), Drag Coefficient (C_D) & Liquid Density (ρ_liquid) and hit the calculate button. Here is how the Settling Velocity given Frictional Drag calculation can be explained with given input values -> 0.046657 = sqrt(2*80/(50*30*49)).

FAQ

What is Settling Velocity given Frictional Drag?

Settling Velocity given Frictional Drag is defined as terminal velocity of particle in still fluid and is represented as v_s = sqrt(2*F_D/(A*C_D*ρ_liquid)) or Settling Velocity = sqrt(2*Drag Force/(Area*Drag Coefficient*Liquid Density)). Drag Force is the resisting force experienced by an object moving through a fluid, The area is the amount of two-dimensional space taken up by an object, Drag Coefficient is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water & Liquid Density is mass per unit volume of the liquid.

How to calculate Settling Velocity given Frictional Drag?

Settling Velocity given Frictional Drag is defined as terminal velocity of particle in still fluid is calculated using Settling Velocity = sqrt(2*Drag Force/(Area*Drag Coefficient*Liquid Density)). To calculate Settling Velocity given Frictional Drag, you need Drag Force (F_D), Area (A), Drag Coefficient (C_D) & Liquid Density (ρ_liquid). With our tool, you need to enter the respective value for Drag Force, Area, Drag Coefficient & Liquid Density 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 Drag Force, Area, Drag Coefficient & Liquid Density. We can use 17 other way(s) to calculate the same, which is/are as follows -

Settling Velocity = sqrt((4*[g]*(Density of Particle-Liquid Density)*Effective Particle Diameter)/(3*Drag Coefficient*Liquid Density))
Settling Velocity = sqrt((4*[g]*(Specific Gravity of Material-1)*Diameter)/(3*Drag Coefficient))
Settling Velocity = Dynamic Viscosity*Reynolds Number/(Liquid Density*Diameter)
Settling Velocity = Drag Force/3*pi*Dynamic Viscosity*Diameter
Settling Velocity = [g]*(Density of Particle-Liquid Density)*Effective Particle Diameter^2/18*Dynamic Viscosity
Settling Velocity = [g]*(Specific Gravity of Material-Specific Gravity of Fluid)*Diameter^2/18*Kinematic Viscosity
Settling Velocity = [g]*(Specific gravity of particle-1)*Diameter^2/18*Kinematic Viscosity
Settling Velocity = 418*(Specific gravity of particle-Specific Gravity of Fluid)*Diameter^2
Settling Velocity = 418*(Specific gravity of particle-Specific Gravity of Fluid)*Effective Particle Diameter^2*((Outside Temperature+10)/60)
Settling Velocity = 418*(Specific gravity of particle-Specific Gravity of Fluid)*Diameter^2*((3*Temperature+70)/100)
Settling Velocity = 418*(Specific gravity of particle-Specific Gravity of Fluid)*Diameter*(Temperature in Fahrenheit+10)/60
Settling Velocity = 418*(Specific gravity of particle-Specific Gravity of Fluid)*Diameter*(3*Temperature in Fahrenheit+70)/100
Settling Velocity = Falling Speed*Height of Crack/Outer Height
Settling Velocity = Displacement velocity/sqrt(8/Darcy Friction Factor)
Settling Velocity = Displacement velocity/18
Settling Velocity = Falling Speed/Removal Ratio
Settling Velocity = Falling Speed*Cross-Sectional Area/Area

Home

FREE PDFs

🔍 Search