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Diameter of Particle given Particle Reynold's Number Formula

GoDiameter of Particle given Volume of Particle Formula

GoDiameter of Particle given Settling Velocity Formula

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

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

d - Diameter of a Spherical Particle?μ_viscosity - Dynamic Viscosity?Re - Reynold Number?ρ_f - Mass Density of Fluid?v_s - Settling Velocity of Particles?

Diameter of Particle given Particle Reynold's Number Example

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Here is how the Diameter of Particle given Particle Reynold's Number equation looks like with Values.

Here is how the Diameter of Particle given Particle Reynold's Number equation looks like with Units.

Here is how the Diameter of Particle given Particle Reynold's Number equation looks like.

0.0128 = \frac{10.2 \cdot 0.02}{1000 \cdot 0.0016}

0.0128m = \frac{10.2P \cdot 0.02}{1000kg/m³ \cdot 0.0016m/s}

0.0128 = \frac{10.2 \cdot 0.02}{1000 \cdot 0.0016}

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Diameter of Particle given Particle Reynold's Number Solution

Follow our step by step solution on how to calculate Diameter of Particle given Particle Reynold's Number?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d = \frac{10.2P \cdot 0.02}{1000kg/m³ \cdot 0.0016m/s}

Next Step Convert Units

∴

d = \frac{1.02Pa*s \cdot 0.02}{1000kg/m³ \cdot 0.0016m/s}

Next Step Prepare to Evaluate

∴

d = \frac{1.02 \cdot 0.02}{1000 \cdot 0.0016}

Next Step Evaluate

∴

d = 0.01275m

LAST Step Rounding Answer

∴

d = 0.0128m

Diameter of Particle given Particle Reynold's Number Formula Elements

Variables

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

Reynold Number

Reynold Number refers to a dimensionless quantity that measures the ratio of inertial forces to viscous forces in fluid flow.

Symbol: Re

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Reynold Number

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

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

Other Formulas to find Diameter of a Spherical Particle

Go Diameter of Particle given Volume of Particle

d = {(6 \cdot \frac{V p}{π})}^{\frac{1}{3}}

Go Diameter of Particle given Settling Velocity

d = \frac{3 \cdot C D \cdot ρ f \cdot {v s}^{2}}{4 \cdot [g] \cdot (ρ m - ρ f)}

Go Diameter of Particle given Settling Velocity with respect to Specific Gravity

d = \frac{3 \cdot C D \cdot {v s}^{2}}{4 \cdot [g] \cdot (G s - 1)}

Go Diameter given Settling Velocity with respect to Dynamic Viscosity

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

How to Evaluate Diameter of Particle given Particle Reynold's Number?

Diameter of Particle given Particle Reynold's Number evaluator uses Diameter of a Spherical Particle = (Dynamic Viscosity*Reynold Number)/(Mass Density of Fluid*Settling Velocity of Particles) to evaluate the Diameter of a Spherical Particle, The Diameter of Particle given Particle Reynold's Number is defined as the calculation of a particle's diameter based on the Reynolds number for a particle moving through a fluid. Diameter of a Spherical Particle is denoted by d symbol.

How to evaluate Diameter of Particle given Particle Reynold's Number using this online evaluator? To use this online evaluator for Diameter of Particle given Particle Reynold's Number, enter Dynamic Viscosity (μ_viscosity), Reynold Number (Re), Mass Density of Fluid (ρ_f) & Settling Velocity of Particles (v_s) and hit the calculate button.

FAQs on Diameter of Particle given Particle Reynold's Number

What is the formula to find Diameter of Particle given Particle Reynold's Number?

The formula of Diameter of Particle given Particle Reynold's Number is expressed as Diameter of a Spherical Particle = (Dynamic Viscosity*Reynold Number)/(Mass Density of Fluid*Settling Velocity of Particles). Here is an example- 0.01275 = (1.02*0.02)/(1000*0.0016).

How to calculate Diameter of Particle given Particle Reynold's Number?

With Dynamic Viscosity (μ_viscosity), Reynold Number (Re), Mass Density of Fluid (ρ_f) & Settling Velocity of Particles (v_s) we can find Diameter of Particle given Particle Reynold's Number using the formula - Diameter of a Spherical Particle = (Dynamic Viscosity*Reynold Number)/(Mass Density of Fluid*Settling Velocity of Particles).

What are the other ways to Calculate Diameter of a Spherical Particle?

Here are the different ways to Calculate Diameter of a Spherical Particle-

Diameter of a Spherical Particle=(6*Volume of One Particle/pi)^(1/3)
Diameter of a Spherical Particle=(3*Drag Coefficient*Mass Density of Fluid*Settling Velocity of Particles^2)/(4*[g]*(Mass Density of Particles-Mass Density of Fluid))
Diameter of a Spherical Particle=(3*Drag Coefficient*Settling Velocity of Particles^2)/(4*[g]*(Specific Gravity of Spherical Particle-1))

Can the Diameter of Particle given Particle Reynold's Number be negative?

No, the Diameter of Particle given Particle Reynold's Number, measured in Length cannot be negative.

Which unit is used to measure Diameter of Particle given Particle Reynold's Number?

Diameter of Particle given Particle Reynold's Number is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Diameter of Particle given Particle Reynold's Number can be measured.

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: Value
: Unit

Diameter of Particle given Particle Reynold's Number Formula

​GoDiameter of Particle given Volume of Particle Formula

​GoDiameter of Particle given Settling Velocity Formula

Diameter of Particle given Particle Reynold's Number Example

Diameter of Particle given Particle Reynold's Number Solution

Diameter of Particle given Particle Reynold's Number Formula Elements

Other Formulas to find Diameter of a Spherical Particle

How to Evaluate Diameter of Particle given Particle Reynold's Number?

FAQs on Diameter of Particle given Particle Reynold's Number

Variable Name

GoDiameter of Particle given Volume of Particle Formula

GoDiameter of Particle given Settling Velocity Formula