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Settling Velocity with respect to Dynamic Viscosity Formula

GoSettling Velocity given Frictional Drag Formula

GoSettling Velocity Formula

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Settling Velocity of particles refers to the rate at which a particle sinks through a fluid under the influence of gravity. Check FAQs

v s = \frac{[g] \cdot (ρ m - ρ f) \cdot d^{2}}{18 \cdot μ viscosity}

v_s - Settling Velocity of Particles?ρ_m - Mass Density of Particles?ρ_f - Mass Density of Fluid?d - Diameter of a Spherical Particle?μ_viscosity - Dynamic Viscosity?[g] - Gravitational acceleration on Earth?

Settling Velocity with respect to Dynamic Viscosity Example

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Here is how the Settling Velocity with respect to Dynamic Viscosity equation looks like with Values.

Here is how the Settling Velocity with respect to Dynamic Viscosity equation looks like with Units.

Here is how the Settling Velocity with respect to Dynamic Viscosity equation looks like.

0.0015 = \frac{9.8066 \cdot (2700 - 1000) \cdot {0.0013}^{2}}{18 \cdot 10.2}

0.0015m/s = \frac{9.8066m/s² \cdot (2700kg/m³ - 1000kg/m³) \cdot {0.0013m}^{2}}{18 \cdot 10.2P}

0.0015 = \frac{9.8066 \cdot (2700 - 1000) \cdot {0.0013}^{2}}{18 \cdot 10.2}

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Settling Velocity with respect to Dynamic Viscosity Solution

Follow our step by step solution on how to calculate Settling Velocity with respect to Dynamic Viscosity?

FIRST Step Consider the formula

v s = \frac{[g] \cdot (ρ m - ρ f) \cdot d^{2}}{18 \cdot μ viscosity}

Next Step Substitute values of Variables

∴

v s = \frac{[g] \cdot (2700kg/m³ - 1000kg/m³) \cdot {0.0013m}^{2}}{18 \cdot 10.2P}

Next Step Substitute values of Constants

∴

v s = \frac{9.8066m/s² \cdot (2700kg/m³ - 1000kg/m³) \cdot {0.0013m}^{2}}{18 \cdot 10.2P}

Next Step Convert Units

∴

v s = \frac{9.8066m/s² \cdot (2700kg/m³ - 1000kg/m³) \cdot {0.0013m}^{2}}{18 \cdot 1.02Pa*s}

Next Step Prepare to Evaluate

∴

v s = \frac{9.8066 \cdot (2700 - 1000) \cdot {0.0013}^{2}}{18 \cdot 1.02}

Next Step Evaluate

∴

v s = 0.00153455912037037m/s

LAST Step Rounding Answer

∴

v s = 0.0015m/s

Settling Velocity with respect to Dynamic Viscosity Formula Elements

Variables

Constants

Settling Velocity of Particles

Settling Velocity of particles refers to the rate at which a particle sinks through a fluid under the influence of gravity.

Symbol: v_s

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Settling Velocity of Particles

Mass Density of Particles

Mass Density of Particles refers to the mass of a particle per unit volume, typically expressed in kilograms per cubic meter (kg/m³).

Symbol: ρ_m

Measurement: Mass ConcentrationUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Mass Density of Particles

Mass Density of Fluid

Mass Density of Fluid refers to the mass per unit volume of the fluid, typically expressed in kilograms per cubic meter (kg/m³).

Symbol: ρ_f

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Mass Density of Fluid

Diameter of a Spherical Particle

The Diameter of a Spherical Particle is the distance across the sphere, passing through its center.

Symbol: d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of a Spherical Particle

Dynamic Viscosity

The Dynamic Viscosity refers to the property of a fluid that quantifies its internal resistance to flow when subjected to an external force or shear stress.

Symbol: μ_viscosity

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other Formulas to find Settling Velocity of Particles

Go Settling Velocity given Frictional Drag

v s = \sqrt{\frac{2 \cdot F D}{a \cdot C D \cdot ρ f}}

Go Settling Velocity

v s = \sqrt{\frac{4 \cdot [g] \cdot (ρ m - ρ f) \cdot d}{3 \cdot C D \cdot ρ f}}

Go Settling Velocity with respect to Specific Gravity of Particle

v s = \sqrt{\frac{4 \cdot [g] \cdot (G s - 1) \cdot d}{3 \cdot C D}}

Go Settling Velocity given Particle Reynold's Number

v s = \frac{μ viscosity \cdot Re}{ρ f \cdot d}

Other formulas in Settling Velocity category

Go Surface Loading with respect to Settling Velocity

R = 864000 \cdot v s

How to Evaluate Settling Velocity with respect to Dynamic Viscosity?

Settling Velocity with respect to Dynamic Viscosity evaluator uses Settling Velocity of Particles = ([g]*(Mass Density of Particles-Mass Density of Fluid)*Diameter of a Spherical Particle^2)/(18*Dynamic Viscosity) to evaluate the Settling Velocity of Particles, The Settling Velocity with respect to Dynamic Viscosity formula is defined as the settling velocity 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 evaluate Settling Velocity with respect to Dynamic Viscosity using this online evaluator? To use this online evaluator for Settling Velocity with respect to Dynamic Viscosity, enter Mass Density of Particles (ρ_m), Mass Density of Fluid (ρ_f), Diameter of a Spherical Particle (d) & Dynamic Viscosity (μ_viscosity) and hit the calculate button.

FAQs on Settling Velocity with respect to Dynamic Viscosity

What is the formula to find Settling Velocity with respect to Dynamic Viscosity?

The formula of Settling Velocity with respect to Dynamic Viscosity is expressed as Settling Velocity of Particles = ([g]*(Mass Density of Particles-Mass Density of Fluid)*Diameter of a Spherical Particle^2)/(18*Dynamic Viscosity). Here is an example- 0.001535 = ([g]*(2700-1000)*0.0013^2)/(18*1.02).

How to calculate Settling Velocity with respect to Dynamic Viscosity?

With Mass Density of Particles (ρ_m), Mass Density of Fluid (ρ_f), Diameter of a Spherical Particle (d) & Dynamic Viscosity (μ_viscosity) we can find Settling Velocity with respect to Dynamic Viscosity using the formula - Settling Velocity of Particles = ([g]*(Mass Density of Particles-Mass Density of Fluid)*Diameter of a Spherical Particle^2)/(18*Dynamic Viscosity). This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Settling Velocity of Particles?

Here are the different ways to Calculate Settling Velocity of Particles-

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

Can the Settling Velocity with respect to Dynamic Viscosity be negative?

No, the Settling Velocity with respect to Dynamic Viscosity, measured in Speed cannot be negative.

Which unit is used to measure Settling Velocity with respect to Dynamic Viscosity?

Settling Velocity with respect to Dynamic Viscosity 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 with respect to Dynamic Viscosity can be measured.

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Settling Velocity with respect to Dynamic Viscosity Formula

​GoSettling Velocity given Frictional Drag Formula

​GoSettling Velocity Formula

Settling Velocity with respect to Dynamic Viscosity Example

Settling Velocity with respect to Dynamic Viscosity Solution

Settling Velocity with respect to Dynamic Viscosity Formula Elements

Other Formulas to find Settling Velocity of Particles

Other formulas in Settling Velocity category

How to Evaluate Settling Velocity with respect to Dynamic Viscosity?

FAQs on Settling Velocity with respect to Dynamic Viscosity

Variable Name

GoSettling Velocity given Frictional Drag Formula

GoSettling Velocity Formula