Dynamic Viscosity based on Kozeny Carman Equation Calculator

✖Pressure Gradient is the change in pressure with respect to radial distance of element.ⓘ Pressure Gradient [dPbydr]			+10% -10%
✖Sphericity of Particle is a measure of how closely the shape of an object resembles that of a perfect sphere.ⓘ Sphericity of Particle [Φ_p]			+10% -10%
✖Equivalent diameter is the diameter equivalent to the given value.ⓘ Equivalent Diameter [De]			+10% -10%
✖Porosity is the ratio of volume of voids to volume of soil.ⓘ Porosity [η]			+10% -10%
✖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.ⓘ Velocity [v]			+10% -10%

✖Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity based on Kozeny Carman Equation [μ]

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Formula

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Dynamic Viscosity based on Kozeny Carman Equation

Formula

`"μ" = ("dPbydr"*("Φ"_{"p"})^2*("De")^2*("η")^3)/(150*(1-"η")^2*"v")`

Example

`"0.599602P"=("10.47N/m³"*("18.46")^2*("0.55m")^2*("0.5")^3)/(150*(1-"0.5")^2*"60m/s")`

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Dynamic Viscosity based on Kozeny Carman Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dynamic Viscosity = (Pressure Gradient*(Sphericity of Particle)^2*(Equivalent Diameter)^2*(Porosity)^3)/(150*(1-Porosity)^2*Velocity)
μ = (dPbydr*(Φ_p)^2*(De)^2*(η)^3)/(150*(1-η)^2*v)
This formula uses 6 Variables

Variables Used

Dynamic Viscosity - (Measured in Pascal Second) - Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
Pressure Gradient - (Measured in Newton per Cubic Meter) - Pressure Gradient is the change in pressure with respect to radial distance of element.
Sphericity of Particle - Sphericity of Particle is a measure of how closely the shape of an object resembles that of a perfect sphere.
Equivalent Diameter - (Measured in Meter) - Equivalent diameter is the diameter equivalent to the given value.
Porosity - Porosity is the ratio of volume of voids to volume of soil.
Velocity - (Measured in Meter per Second) - 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.

STEP 1: Convert Input(s) to Base Unit

Pressure Gradient: 10.47 Newton per Cubic Meter --> 10.47 Newton per Cubic Meter No Conversion Required
Sphericity of Particle: 18.46 --> No Conversion Required
Equivalent Diameter: 0.55 Meter --> 0.55 Meter No Conversion Required
Porosity: 0.5 --> No Conversion Required
Velocity: 60 Meter per Second --> 60 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = (dPbydr*(Φ_p)^2*(De)^2*(η)^3)/(150*(1-η)^2*v) --> (10.47*(18.46)^2*(0.55)^2*(0.5)^3)/(150*(1-0.5)^2*60)

Evaluating ... ...

μ = 0.0599601829016667

STEP 3: Convert Result to Output's Unit

0.0599601829016667 Pascal Second -->0.599601829016667 Poise (Check conversion here)

FINAL ANSWER

0.599601829016667 ≈ 0.599602 Poise <-- Dynamic Viscosity

(Calculation completed in 00.004 seconds)

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Dynamic Viscosity based on Kozeny Carman Equation

Go Dynamic Viscosity = (Pressure Gradient*(Sphericity of Particle)^2*(Equivalent Diameter)^2*(Porosity)^3)/(150*(1-Porosity)^2*Velocity)

Pressure Gradient using Kozeny Carman Equation

Go Pressure Gradient = (150*Dynamic Viscosity*(1-Porosity)^2*Velocity)/((Sphericity of Particle)^2*(Equivalent Diameter)^2*(Porosity)^3)

Volume of Voids in Bed Based on Porosity

Go Volume of Voids in Bed = Porosity or Void Fraction*Total Volume of Bed

Total Volume of Bed Based on Porosity

Go Total Volume of Bed = Volume of Voids in Bed/Porosity or Void Fraction

Porosity or Void Fraction

Go Porosity or Void Fraction = Volume of Voids in Bed/Total Volume of Bed

Dynamic Viscosity based on Kozeny Carman Equation Formula

Dynamic Viscosity = (Pressure Gradient*(Sphericity of Particle)^2*(Equivalent Diameter)^2*(Porosity)^3)/(150*(1-Porosity)^2*Velocity)
μ = (dPbydr*(Φ_p)^2*(De)^2*(η)^3)/(150*(1-η)^2*v)

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How to Calculate Dynamic Viscosity based on Kozeny Carman Equation?

Dynamic Viscosity based on Kozeny Carman Equation calculator uses Dynamic Viscosity = (Pressure Gradient*(Sphericity of Particle)^2*(Equivalent Diameter)^2*(Porosity)^3)/(150*(1-Porosity)^2*Velocity) to calculate 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 calculate Dynamic Viscosity based on Kozeny Carman Equation using this online calculator? To use this online calculator 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. Here is how the Dynamic Viscosity based on Kozeny Carman Equation calculation can be explained with given input values -> 5.996018 = (10.47*(18.46)^2*(0.55)^2*(0.5)^3)/(150*(1-0.5)^2*60).

FAQ

What is Dynamic Viscosity based on Kozeny Carman Equation?

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 and is represented as μ = (dPbydr*(Φ_p)^2*(De)^2*(η)^3)/(150*(1-η)^2*v) or Dynamic Viscosity = (Pressure Gradient*(Sphericity of Particle)^2*(Equivalent Diameter)^2*(Porosity)^3)/(150*(1-Porosity)^2*Velocity). Pressure Gradient is the change in pressure with respect to radial distance of element, Sphericity of Particle is a measure of how closely the shape of an object resembles that of a perfect sphere, Equivalent diameter is the diameter equivalent to the given value, Porosity is the ratio of volume of voids to volume of soil & 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.

How to calculate Dynamic Viscosity based on Kozeny Carman Equation?

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 is calculated using Dynamic Viscosity = (Pressure Gradient*(Sphericity of Particle)^2*(Equivalent Diameter)^2*(Porosity)^3)/(150*(1-Porosity)^2*Velocity). To calculate Dynamic Viscosity based on Kozeny Carman Equation, you need Pressure Gradient (dPbydr), Sphericity of Particle (Φ_p), Equivalent Diameter (De), Porosity (η) & Velocity (v). With our tool, you need to enter the respective value for Pressure Gradient, Sphericity of Particle, Equivalent Diameter, Porosity & Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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