Settling Velocity given Frictional Drag Calculator

✖The Drag Force refers to the resisting force experienced by an particle moving through a fluid.ⓘ Drag Force [F_D]			+10% -10%
✖Projected Area of A Particle refers to the two-dimensional area that a particle presents when viewed along a particular axis.ⓘ Projected Area of A Particle [a]			+10% -10%
✖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%
✖Mass Density of Fluid refers to the mass per unit volume of the fluid, typically expressed in kilograms per cubic meter (kg/m³).ⓘ Mass Density of Fluid [ρ_f]			+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 given Frictional Drag [v_s]

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Settling Velocity given Frictional Drag Solution

STEP 0: Pre-Calculation Summary

Formula Used

Settling Velocity of Particles = sqrt((2*Drag Force)/(Projected Area of A Particle*Drag Coefficient*Mass Density of Fluid))
v_s = sqrt((2*F_D)/(a*C_D*ρ_f))
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 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.
Drag Force - (Measured in Newton) - The Drag Force refers to the resisting force experienced by an particle moving through a fluid.
Projected Area of A Particle - (Measured in Square Meter) - Projected Area of A Particle refers to the two-dimensional area that a particle presents when viewed along a particular axis.
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.
Mass Density of Fluid - (Measured in Kilogram per Cubic Meter) - Mass Density of Fluid refers to the mass per unit volume of the fluid, typically expressed in kilograms per cubic meter (kg/m³).

STEP 1: Convert Input(s) to Base Unit

Drag Force: 0.004 Newton --> 0.004 Newton No Conversion Required
Projected Area of A Particle: 1.32 Square Millimeter --> 1.32E-06 Square Meter (Check conversion here)
Drag Coefficient: 1200 --> No Conversion Required
Mass Density of Fluid: 1000 Kilogram per Cubic Meter --> 1000 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_f)) --> sqrt((2*0.004)/(1.32E-06*1200*1000))

Evaluating ... ...

v_s = 0.0710669054518701

STEP 3: Convert Result to Output's Unit

0.0710669054518701 Meter per Second --> No Conversion Required

FINAL ANSWER

0.0710669054518701 ≈ 0.071067 Meter per Second <-- Settling Velocity of Particles

(Calculation completed in 00.004 seconds)

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

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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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< Settling Velocity Calculators

Settling Velocity

LaTeX Go Settling Velocity of Particles = sqrt((4*[g]*(Mass Density of Particles-Mass Density of Fluid)*Diameter of a Spherical Particle)/(3*Drag Coefficient*Mass Density of Fluid))

Settling Velocity with respect to Specific Gravity of Particle

LaTeX Go Settling Velocity of Particles = sqrt((4*[g]*(Specific Gravity of Spherical Particle-1)*Diameter of a Spherical Particle)/(3*Drag Coefficient))

Settling Velocity given Frictional Drag

LaTeX Go Settling Velocity of Particles = sqrt((2*Drag Force)/(Projected Area of A Particle*Drag Coefficient*Mass Density of Fluid))

Settling Velocity given Particle Reynold's Number

LaTeX Go Settling Velocity of Particles = (Dynamic Viscosity*Reynold Number)/(Mass Density of Fluid*Diameter of a Spherical Particle)

Settling Velocity given Frictional Drag Formula

LaTeX Go

Settling Velocity of Particles = sqrt((2*Drag Force)/(Projected Area of A Particle*Drag Coefficient*Mass Density of Fluid))
v_s = sqrt((2*F_D)/(a*C_D*ρ_f))

What is Friction 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 of Particles = sqrt((2*Drag Force)/(Projected Area of A Particle*Drag Coefficient*Mass Density of Fluid)) to calculate the Settling Velocity of Particles, The Settling Velocity given Frictional Drag formula is defined as the speed at which a particle falls through a fluid under the influence of gravity. Settling Velocity of Particles 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), Projected Area of A Particle (a), Drag Coefficient (C_D) & Mass Density of Fluid (ρ_f) and hit the calculate button. Here is how the Settling Velocity given Frictional Drag calculation can be explained with given input values -> 2.247333 = sqrt((2*0.004)/(1.32E-06*1200*1000)).

FAQ

What is Settling Velocity given Frictional Drag?

The Settling Velocity given Frictional Drag formula is defined as the speed at which a particle falls through a fluid under the influence of gravity and is represented as v_s = sqrt((2*F_D)/(a*C_D*ρ_f)) or Settling Velocity of Particles = sqrt((2*Drag Force)/(Projected Area of A Particle*Drag Coefficient*Mass Density of Fluid)). The Drag Force refers to the resisting force experienced by an particle moving through a fluid, Projected Area of A Particle refers to the two-dimensional area that a particle presents when viewed along a particular axis, 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 & Mass Density of Fluid refers to the mass per unit volume of the fluid, typically expressed in kilograms per cubic meter (kg/m³).

How to calculate Settling Velocity given Frictional Drag?

The Settling Velocity given Frictional Drag formula is defined as the speed at which a particle falls through a fluid under the influence of gravity is calculated using Settling Velocity of Particles = sqrt((2*Drag Force)/(Projected Area of A Particle*Drag Coefficient*Mass Density of Fluid)). To calculate Settling Velocity given Frictional Drag, you need Drag Force (F_D), Projected Area of A Particle (a), Drag Coefficient (C_D) & Mass Density of Fluid (ρ_f). With our tool, you need to enter the respective value for Drag Force, Projected Area of A Particle, Drag Coefficient & Mass Density of Fluid 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 of Particles?

In this formula, Settling Velocity of Particles uses Drag Force, Projected Area of A Particle, Drag Coefficient & Mass Density of Fluid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Settling Velocity of Particles = sqrt((4*[g]*(Mass Density of Particles-Mass Density of Fluid)*Diameter of a Spherical Particle)/(3*Drag Coefficient*Mass Density of Fluid))
Settling Velocity of Particles = sqrt((4*[g]*(Specific Gravity of Spherical Particle-1)*Diameter of a Spherical Particle)/(3*Drag Coefficient))
Settling Velocity of Particles = (Dynamic Viscosity*Reynold Number)/(Mass Density of Fluid*Diameter of a Spherical Particle)

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