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Sauter Mean Diameter Formula

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Sauter Mean Diameter is defined as the diameter of a sphere that has the same volume/surface area ratio as a particle of interest. Check FAQs

d sauter = \frac{6 \cdot V particle_1}{S particle}

d_sauter - Sauter Mean Diameter?V_{particle_1} - Volume of Particle?S_particle - Surface Area of Particle?

Sauter Mean Diameter Example

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Here is how the Sauter Mean Diameter equation looks like with Values.

Here is how the Sauter Mean Diameter equation looks like with Units.

Here is how the Sauter Mean Diameter equation looks like.

8.9423 = \frac{6 \cdot 15.5}{10.4}

8.9423m = \frac{6 \cdot 15.5m³}{10.4m²}

8.9423 = \frac{6 \cdot 15.5}{10.4}

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Sauter Mean Diameter Solution

Follow our step by step solution on how to calculate Sauter Mean Diameter?

FIRST Step Consider the formula

d sauter = \frac{6 \cdot V particle_1}{S particle}

Next Step Substitute values of Variables

∴

d sauter = \frac{6 \cdot 15.5m³}{10.4m²}

Next Step Prepare to Evaluate

∴

d sauter = \frac{6 \cdot 15.5}{10.4}

Next Step Evaluate

∴

d sauter = 8.94230769230769m

LAST Step Rounding Answer

∴

d sauter = 8.9423m

Sauter Mean Diameter Formula Elements

Variables

Sauter Mean Diameter

Sauter Mean Diameter is defined as the diameter of a sphere that has the same volume/surface area ratio as a particle of interest.

Symbol: d_sauter

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Sauter Mean Diameter

Volume of Particle

Volume of Particle is the amount of space that particular particle occupies.

Symbol: V_{particle_1}

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Particle

Surface Area of Particle

Surface Area of Particle is a measure of the total area that the surface of the object occupies.

Symbol: S_particle

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Surface Area of Particle

Other formulas in Basic Formulas category

Go Energy Required to Crush Coarse Materials according to Bond's Law

E = W i \cdot ({(\frac{100}{d 2})}^{0.5} - {(\frac{100}{d 1})}^{0.5})

Go Mass Mean Diameter

D W = (x A \cdot D pi)

Go Number of Particles

N p = \frac{m}{ρ particle \cdot V particle}

Go Specific Surface Area of Mixture

A w = \frac{SA Total}{M T}

How to Evaluate Sauter Mean Diameter?

Sauter Mean Diameter evaluator uses Sauter Mean Diameter = (6*Volume of Particle)/(Surface Area of Particle) to evaluate the Sauter Mean Diameter, Sauter mean diameter is an average of particle size. It is defined as the diameter of a sphere that has the same volume/surface area ratio as a particle of interest. SMD is typically defined in terms of the surface diameter and volume diameter. Sauter Mean Diameter is denoted by d_sauter symbol.

How to evaluate Sauter Mean Diameter using this online evaluator? To use this online evaluator for Sauter Mean Diameter, enter Volume of Particle (V_{particle_1}) & Surface Area of Particle (S_particle) and hit the calculate button.

FAQs on Sauter Mean Diameter

What is the formula to find Sauter Mean Diameter?

The formula of Sauter Mean Diameter is expressed as Sauter Mean Diameter = (6*Volume of Particle)/(Surface Area of Particle). Here is an example- 8.942308 = (6*15.5)/(10.4).

How to calculate Sauter Mean Diameter?

With Volume of Particle (V_{particle_1}) & Surface Area of Particle (S_particle) we can find Sauter Mean Diameter using the formula - Sauter Mean Diameter = (6*Volume of Particle)/(Surface Area of Particle).

Can the Sauter Mean Diameter be negative?

No, the Sauter Mean Diameter, measured in Length cannot be negative.

Which unit is used to measure Sauter Mean Diameter?

Sauter Mean Diameter is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Sauter Mean Diameter can be measured.

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Sauter Mean Diameter Formula

Sauter Mean Diameter Example

Sauter Mean Diameter Solution

Sauter Mean Diameter Formula Elements

Other formulas in Basic Formulas category

How to Evaluate Sauter Mean Diameter?

FAQs on Sauter Mean Diameter

Variable Name