Pressure Gradient Using Kozeny Carman Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pressure Gradient = (150*Dynamic Viscosity*(1-Porosity)^2*Velocity)/((Sphericity of Particle)^2*(Equivalent Diameter)^2*(Porosity)^3)
dp/dr = (150*μ*(1-ε)^2*v)/((Φp)^2*(De)^2*(ε)^3)
This formula uses 6 Variables
Variables Used
Pressure Gradient - (Measured in Newton per Cubic Meter) - Pressure Gradient is the change in pressure with respect to radial distance of element.
Dynamic Viscosity - (Measured in Pascal Second) - Dynamic Viscosity is the measure of the fluid's internal resistance which is offered by the fluid to resist the flow.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Dynamic Viscosity: 10 Poise --> 1 Pascal Second (Check conversion here)
Porosity: 0.5 --> No Conversion Required
Velocity: 60 Meter per Second --> 60 Meter per Second No Conversion Required
Sphericity of Particle: 0.7 --> No Conversion Required
Equivalent Diameter: 10 Millimeter --> 0.01 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dp/dr = (150*μ*(1-ε)^2*v)/((Φp)^2*(De)^2*(ε)^3) --> (150*1*(1-0.5)^2*60)/((0.7)^2*(0.01)^2*(0.5)^3)
Evaluating ... ...
dp/dr = 367346938.77551
STEP 3: Convert Result to Output's Unit
367346938.77551 Newton per Cubic Meter --> No Conversion Required
FINAL ANSWER
367346938.77551 Newton per Cubic Meter <-- Pressure Gradient
(Calculation completed in 00.033 seconds)

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2 Fluidisation Calculators

Pressure Gradient Using Kozeny Carman Equation
Pressure Gradient = (150*Dynamic Viscosity*(1-Porosity)^2*Velocity)/((Sphericity of Particle)^2*(Equivalent Diameter)^2*(Porosity)^3) Go
Porosity or Void Fraction
Porosity or Void Fraction = Volume of Voids in Bed/Total Volume of Bed Go

Pressure Gradient Using Kozeny Carman Equation Formula

Pressure Gradient = (150*Dynamic Viscosity*(1-Porosity)^2*Velocity)/((Sphericity of Particle)^2*(Equivalent Diameter)^2*(Porosity)^3)
dp/dr = (150*μ*(1-ε)^2*v)/((Φp)^2*(De)^2*(ε)^3)

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How to Calculate Pressure Gradient Using Kozeny Carman Equation?

Pressure Gradient Using Kozeny Carman Equation calculator uses Pressure Gradient = (150*Dynamic Viscosity*(1-Porosity)^2*Velocity)/((Sphericity of Particle)^2*(Equivalent Diameter)^2*(Porosity)^3) to calculate the Pressure Gradient, The Pressure Gradient Using Kozeny Carman Equation is a relation used in the field of fluid dynamics to calculate the pressure drop of a fluid flowing through a packed bed of solids. Pressure Gradient is denoted by dp/dr symbol.

How to calculate Pressure Gradient Using Kozeny Carman Equation using this online calculator? To use this online calculator for Pressure Gradient Using Kozeny Carman Equation, enter Dynamic Viscosity (μ), Porosity (ε), Velocity (v), Sphericity of Particle p) & Equivalent Diameter (De) and hit the calculate button. Here is how the Pressure Gradient Using Kozeny Carman Equation calculation can be explained with given input values -> 3.7E+8 = (150*1*(1-0.5)^2*60)/((0.7)^2*(0.01)^2*(0.5)^3).

FAQ

What is Pressure Gradient Using Kozeny Carman Equation?
The Pressure Gradient Using Kozeny Carman Equation is a relation used in the field of fluid dynamics to calculate the pressure drop of a fluid flowing through a packed bed of solids and is represented as dp/dr = (150*μ*(1-ε)^2*v)/((Φp)^2*(De)^2*(ε)^3) or Pressure Gradient = (150*Dynamic Viscosity*(1-Porosity)^2*Velocity)/((Sphericity of Particle)^2*(Equivalent Diameter)^2*(Porosity)^3). Dynamic Viscosity is the measure of the fluid's internal resistance which is offered by the fluid to resist the flow, 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, 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.
How to calculate Pressure Gradient Using Kozeny Carman Equation?
The Pressure Gradient Using Kozeny Carman Equation is a relation used in the field of fluid dynamics to calculate the pressure drop of a fluid flowing through a packed bed of solids is calculated using Pressure Gradient = (150*Dynamic Viscosity*(1-Porosity)^2*Velocity)/((Sphericity of Particle)^2*(Equivalent Diameter)^2*(Porosity)^3). To calculate Pressure Gradient Using Kozeny Carman Equation, you need Dynamic Viscosity (μ), Porosity (ε), Velocity (v), Sphericity of Particle p) & Equivalent Diameter (De). With our tool, you need to enter the respective value for Dynamic Viscosity, Porosity, Velocity, Sphericity of Particle & Equivalent Diameter 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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