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*(Φp)^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*(Φp)^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 00.020 seconds)

Credits

Created by Harsh Kadam
Shri Guru Gobind Singhji Institute of Engineering and Technology (SGGS), Nanded
Harsh Kadam has created this Calculator and 50+ more calculators!
Verified by Vaibhav Mishra
DJ Sanghvi College of Engineering (DJSCE), Mumbai
Vaibhav Mishra has verified this Calculator and 200+ more calculators!

5 Fluidisation Calculators

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*(Φp)^2*(De)^2*(η)^3)/(150*(1-η)^2*v)

What is Constant-Rate Filtration ?

In Constant-rate Filtration the pressure drop required for any desired flow rate can be found. Also, if a series of runs is carried out under different pressures, the results can be used to determine the resistance of the filter cake.

What is a Trommel Screen?

A trommel screen, also known as a rotary screen, is a mechanical screening machine used to separate materials, mainly in the mineral and solid-waste processing industries. It consists of a perforated cylindrical drum that is normally elevated at an angle at the feed end.

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 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*(Φp)^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 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!