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Dynamic Viscosity based on Kozeny Carman Equation Formula

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Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied. Check FAQs

μ = \frac{dPbydr \cdot {(Φ p)}^{2} \cdot {(De)}^{2} \cdot {(η)}^{3}}{150 \cdot {(1 - η)}^{2} \cdot v}

μ - Dynamic Viscosity?dPbydr - Pressure Gradient?Φ_p - Sphericity of Particle?De - Equivalent Diameter?η - Porosity?v - Velocity?

Dynamic Viscosity based on Kozeny Carman Equation Example

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Here is how the Dynamic Viscosity based on Kozeny Carman Equation equation looks like with Values.

Here is how the Dynamic Viscosity based on Kozeny Carman Equation equation looks like with Units.

Here is how the Dynamic Viscosity based on Kozeny Carman Equation equation looks like.

0.5996 = \frac{10.47 \cdot {(18.46)}^{2} \cdot {(0.55)}^{2} \cdot {(0.5)}^{3}}{150 \cdot {(1 - 0.5)}^{2} \cdot 60}

0.5996P = \frac{10.47N/m³ \cdot {(18.46)}^{2} \cdot {(0.55m)}^{2} \cdot {(0.5)}^{3}}{150 \cdot {(1 - 0.5)}^{2} \cdot 60m/s}

0.5996 = \frac{10.47 \cdot {(18.46)}^{2} \cdot {(0.55)}^{2} \cdot {(0.5)}^{3}}{150 \cdot {(1 - 0.5)}^{2} \cdot 60}

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Dynamic Viscosity based on Kozeny Carman Equation Solution

Follow our step by step solution on how to calculate Dynamic Viscosity based on Kozeny Carman Equation?

FIRST Step Consider the formula

μ = \frac{dPbydr \cdot {(Φ p)}^{2} \cdot {(De)}^{2} \cdot {(η)}^{3}}{150 \cdot {(1 - η)}^{2} \cdot v}

Next Step Substitute values of Variables

∴

μ = \frac{10.47N/m³ \cdot {(18.46)}^{2} \cdot {(0.55m)}^{2} \cdot {(0.5)}^{3}}{150 \cdot {(1 - 0.5)}^{2} \cdot 60m/s}

Next Step Prepare to Evaluate

∴

μ = \frac{10.47 \cdot {(18.46)}^{2} \cdot {(0.55)}^{2} \cdot {(0.5)}^{3}}{150 \cdot {(1 - 0.5)}^{2} \cdot 60}

Next Step Evaluate

∴

μ = 0.0599601829016667Pa*s

Next Step Convert to Output's Unit

∴

μ = 0.599601829016667P

LAST Step Rounding Answer

∴

μ = 0.5996P

Dynamic Viscosity based on Kozeny Carman Equation Formula Elements

Variables

Dynamic Viscosity

Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.

Symbol: μ

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

Pressure Gradient

Pressure Gradient is the change in pressure with respect to radial distance of element.

Symbol: dPbydr

Measurement: Pressure GradientUnit: N/m³

Note: Value can be positive or negative.

Formulas to find Pressure Gradient

Sphericity of Particle

Sphericity of Particle is a measure of how closely the shape of an object resembles that of a perfect sphere.

Symbol: Φ_p

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Sphericity of Particle

Equivalent Diameter

Equivalent diameter is the diameter equivalent to the given value.

Symbol: De

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Equivalent Diameter

Porosity

Porosity is the ratio of volume of voids to volume of soil.

Symbol: η

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Porosity

Velocity

Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.

Symbol: v

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity

Other formulas in Fluidisation category

Go Porosity or Void Fraction

ε = \frac{v 0}{v B}

Go Pressure Gradient using Kozeny Carman Equation

dPbydr = \frac{150 \cdot μ \cdot {(1 - η)}^{2} \cdot v}{{(Φ p)}^{2} \cdot {(De)}^{2} \cdot {(η)}^{3}}

Go Volume of Voids in Bed Based on Porosity

v 0 = ε \cdot v B

Go Total Volume of Bed Based on Porosity

v B = \frac{v 0}{ε}

How to Evaluate Dynamic Viscosity based on Kozeny Carman Equation?

Dynamic Viscosity based on Kozeny Carman Equation evaluator uses Dynamic Viscosity = (Pressure Gradient*(Sphericity of Particle)^2*(Equivalent Diameter)^2*(Porosity)^3)/(150*(1-Porosity)^2*Velocity) to evaluate the Dynamic Viscosity, The Dynamic Viscosity based on Kozeny Carman Equation is a relation used in the field of fluid dynamics to calculate the dynamic density of a fluid flowing through a packed bed of solids. Dynamic Viscosity is denoted by μ symbol.

How to evaluate Dynamic Viscosity based on Kozeny Carman Equation using this online evaluator? To use this online evaluator for Dynamic Viscosity based on Kozeny Carman Equation, enter Pressure Gradient (dPbydr), Sphericity of Particle (Φ_p), Equivalent Diameter (De), Porosity (η) & Velocity (v) and hit the calculate button.

FAQs on Dynamic Viscosity based on Kozeny Carman Equation

What is the formula to find Dynamic Viscosity based on Kozeny Carman Equation?

The formula of Dynamic Viscosity based on Kozeny Carman Equation is expressed as Dynamic Viscosity = (Pressure Gradient*(Sphericity of Particle)^2*(Equivalent Diameter)^2*(Porosity)^3)/(150*(1-Porosity)^2*Velocity). Here is an example- 5.996018 = (10.47*(18.46)^2*(0.55)^2*(0.5)^3)/(150*(1-0.5)^2*60).

How to calculate Dynamic Viscosity based on Kozeny Carman Equation?

With Pressure Gradient (dPbydr), Sphericity of Particle (Φ_p), Equivalent Diameter (De), Porosity (η) & Velocity (v) we can find Dynamic Viscosity based on Kozeny Carman Equation using the formula - Dynamic Viscosity = (Pressure Gradient*(Sphericity of Particle)^2*(Equivalent Diameter)^2*(Porosity)^3)/(150*(1-Porosity)^2*Velocity).

Can the Dynamic Viscosity based on Kozeny Carman Equation be negative?

No, the Dynamic Viscosity based on Kozeny Carman Equation, measured in Dynamic Viscosity cannot be negative.

Which unit is used to measure Dynamic Viscosity based on Kozeny Carman Equation?

Dynamic Viscosity based on Kozeny Carman Equation is usually measured using the Poise[P] for Dynamic Viscosity. Pascal Second[P], Newton Second per Square Meter[P], Millinewton Second per Square Meter[P] are the few other units in which Dynamic Viscosity based on Kozeny Carman Equation can be measured.

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Dynamic Viscosity based on Kozeny Carman Equation Formula

Dynamic Viscosity based on Kozeny Carman Equation Example

Dynamic Viscosity based on Kozeny Carman Equation Solution

Dynamic Viscosity based on Kozeny Carman Equation Formula Elements

Other formulas in Fluidisation category

How to Evaluate Dynamic Viscosity based on Kozeny Carman Equation?

FAQs on Dynamic Viscosity based on Kozeny Carman Equation

Variable Name