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Settling Velocity of Spherical Particle given Coefficient of Drag Formula

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Settling Velocity of Particle given Coeff of Drag is the velocity at which a particle settles in a fluid, such as water or air, under the influence of gravity, considering coefficient of drag. Check FAQs

V sc = \sqrt{\frac{(\frac{4}{3}) \cdot (γ s - γ w) \cdot D p}{ρ water \cdot C D}}

V_sc - Settling Velocity of Particle given Coeff of Drag?γ_s - Unit Weight of Particle?γ_w - Unit Weight of Water?D_p - Diameter of Particle?ρ_water - Water Density?C_D - Coefficient of Drag?

Settling Velocity of Spherical Particle given Coefficient of Drag Example

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Here is how the Settling Velocity of Spherical Particle given Coefficient of Drag equation looks like with Values.

Here is how the Settling Velocity of Spherical Particle given Coefficient of Drag equation looks like with Units.

Here is how the Settling Velocity of Spherical Particle given Coefficient of Drag equation looks like.

0.0816 = \sqrt{\frac{(\frac{4}{3}) \cdot (10 - 9810) \cdot 0.01}{1000 \cdot 0.38}}

0.0816m/s = \sqrt{\frac{(\frac{4}{3}) \cdot (10kN/m³ - 9810N/m³) \cdot 0.01m}{1000kg/m³ \cdot 0.38}}

0.0816 = \sqrt{\frac{(\frac{4}{3}) \cdot (10 - 9810) \cdot 0.01}{1000 \cdot 0.38}}

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Settling Velocity of Spherical Particle given Coefficient of Drag Solution

Follow our step by step solution on how to calculate Settling Velocity of Spherical Particle given Coefficient of Drag?

FIRST Step Consider the formula

V sc = \sqrt{\frac{(\frac{4}{3}) \cdot (γ s - γ w) \cdot D p}{ρ water \cdot C D}}

Next Step Substitute values of Variables

∴

V sc = \sqrt{\frac{(\frac{4}{3}) \cdot (10kN/m³ - 9810N/m³) \cdot 0.01m}{1000kg/m³ \cdot 0.38}}

Next Step Convert Units

∴

V sc = \sqrt{\frac{(\frac{4}{3}) \cdot (10000N/m³ - 9810N/m³) \cdot 0.01m}{1000kg/m³ \cdot 0.38}}

Next Step Prepare to Evaluate

∴

V sc = \sqrt{\frac{(\frac{4}{3}) \cdot (10000 - 9810) \cdot 0.01}{1000 \cdot 0.38}}

Next Step Evaluate

∴

V sc = 0.0816496580927726m/s

LAST Step Rounding Answer

∴

V sc = 0.0816m/s

Settling Velocity of Spherical Particle given Coefficient of Drag Formula Elements

Variables

Functions

Settling Velocity of Particle given Coeff of Drag

Settling Velocity of Particle given Coeff of Drag is the velocity at which a particle settles in a fluid, such as water or air, under the influence of gravity, considering coefficient of drag.

Symbol: V_sc

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Settling Velocity of Particle given Coeff of Drag

Unit Weight of Particle

Unit Weight of Particle is defined as weight per unit volume of the particle.

Symbol: γ_s

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Unit Weight of Particle

Unit Weight of Water

Unit Weight of Water is the ratio of total weight to the total volume of water.

Symbol: γ_w

Measurement: Specific WeightUnit: N/m³

Note: Value should be greater than 0.

Formulas to find Unit Weight of Water

Diameter of Particle

Diameter of Particle is the measurement of the size of individual particles in a soil or sediment sample.

Symbol: D_p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Particle

Water Density

The Water Density refers to the measure of how much mass is contained in a given volume of water.

Symbol: ρ_water

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Water Density

Coefficient of Drag

The Coefficient of Drag 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.

Symbol: C_D

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Coefficient of Drag

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.

Syntax: sqrt(Number)

Other formulas in Settling Velocity of Particle category

Go Settling Velocity of Spherical Particle

V sp = (\frac{g}{18}) \cdot (G - 1) \cdot (\frac{{(D p)}^{2}}{ν})

Go Settling Velocity of Spherical Particle given Reynold Number

V sr = \frac{R p \cdot ν}{D p}

Go Settling Velocity given Specific Gravity of Particle

V sg = \sqrt{\frac{(\frac{4}{3}) \cdot g \cdot (G - 1) \cdot D p}{C D}}

Go Settling Velocity with respect to Diameter of Particle

V sd = {(\frac{g \cdot (G - 1) \cdot {(D p)}^{1.6}}{13.88 \cdot {(ν)}^{0.6}})}^{0.714}

How to Evaluate Settling Velocity of Spherical Particle given Coefficient of Drag?

Settling Velocity of Spherical Particle given Coefficient of Drag evaluator uses 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)) to evaluate the Settling Velocity of Particle given Coeff of Drag, The Settling Velocity of Spherical Particle given Coefficient of Drag formula is defined as the velocity at which a particle settles in a fluid, such as water or air, under the influence of gravity, considering coeff. of drag. Settling Velocity of Particle given Coeff of Drag is denoted by V_sc symbol.

How to evaluate Settling Velocity of Spherical Particle given Coefficient of Drag using this online evaluator? To use this online evaluator for Settling Velocity of Spherical Particle given Coefficient of Drag, enter Unit Weight of Particle (γ_s), Unit Weight of Water (γ_w), Diameter of Particle (D_p), Water Density (ρ_water) & Coefficient of Drag (C_D) and hit the calculate button.

FAQs on Settling Velocity of Spherical Particle given Coefficient of Drag

What is the formula to find Settling Velocity of Spherical Particle given Coefficient of Drag?

The formula of Settling Velocity of Spherical Particle given Coefficient of Drag is expressed as 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)). Here is an example- 0.08165 = sqrt(((4/3)*(10000-9810)*0.01)/(1000*0.38)).

How to calculate Settling Velocity of Spherical Particle given Coefficient of Drag?

With Unit Weight of Particle (γ_s), Unit Weight of Water (γ_w), Diameter of Particle (D_p), Water Density (ρ_water) & Coefficient of Drag (C_D) we can find Settling Velocity of Spherical Particle given Coefficient of Drag using the formula - 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)). This formula also uses Square Root (sqrt) function(s).

Can the Settling Velocity of Spherical Particle given Coefficient of Drag be negative?

No, the Settling Velocity of Spherical Particle given Coefficient of Drag, measured in Speed cannot be negative.

Which unit is used to measure Settling Velocity of Spherical Particle given Coefficient of Drag?

Settling Velocity of Spherical Particle given Coefficient of Drag is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Settling Velocity of Spherical Particle given Coefficient of Drag can be measured.

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Settling Velocity of Spherical Particle given Coefficient of Drag Formula

Settling Velocity of Spherical Particle given Coefficient of Drag Example

Settling Velocity of Spherical Particle given Coefficient of Drag Solution

Settling Velocity of Spherical Particle given Coefficient of Drag Formula Elements

Other formulas in Settling Velocity of Particle category

How to Evaluate Settling Velocity of Spherical Particle given Coefficient of Drag?

FAQs on Settling Velocity of Spherical Particle given Coefficient of Drag

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