FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Pressure Gradient using Kozeny Carman Equation Formula

Fx Copy

LaTeX Copy

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

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

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

Pressure Gradient using Kozeny Carman Equation Example

With values

With units

Only example

Here is how the Pressure Gradient using Kozeny Carman Equation equation looks like with Values.

Here is how the Pressure Gradient using Kozeny Carman Equation equation looks like with Units.

Here is how the Pressure Gradient using Kozeny Carman Equation equation looks like.

10.3023 = \frac{150 \cdot 0.59 \cdot {(1 - 0.5)}^{2} \cdot 60}{{(18.46)}^{2} \cdot {(0.55)}^{2} \cdot {(0.5)}^{3}}

10.3023N/m³ = \frac{150 \cdot 0.59P \cdot {(1 - 0.5)}^{2} \cdot 60m/s}{{(18.46)}^{2} \cdot {(0.55m)}^{2} \cdot {(0.5)}^{3}}

10.3023 = \frac{150 \cdot 0.59 \cdot {(1 - 0.5)}^{2} \cdot 60}{{(18.46)}^{2} \cdot {(0.55)}^{2} \cdot {(0.5)}^{3}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Chemical Engineering » Category

Mechanical Operations » fx Pressure Gradient using Kozeny Carman Equation

Pressure Gradient using Kozeny Carman Equation Solution

Follow our step by step solution on how to calculate Pressure Gradient using Kozeny Carman Equation?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

dPbydr = \frac{150 \cdot 0.59P \cdot {(1 - 0.5)}^{2} \cdot 60m/s}{{(18.46)}^{2} \cdot {(0.55m)}^{2} \cdot {(0.5)}^{3}}

Next Step Convert Units

∴

dPbydr = \frac{150 \cdot 0.059Pa*s \cdot {(1 - 0.5)}^{2} \cdot 60m/s}{{(18.46)}^{2} \cdot {(0.55m)}^{2} \cdot {(0.5)}^{3}}

Next Step Prepare to Evaluate

∴

dPbydr = \frac{150 \cdot 0.059 \cdot {(1 - 0.5)}^{2} \cdot 60}{{(18.46)}^{2} \cdot {(0.55)}^{2} \cdot {(0.5)}^{3}}

Next Step Evaluate

∴

dPbydr = 10.3023368193033N/m³

LAST Step Rounding Answer

∴

dPbydr = 10.3023N/m³

Pressure Gradient using Kozeny Carman Equation Formula Elements

Variables

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

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

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

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

Other formulas in Fluidisation 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 Sauter Mean Diameter

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

How to Evaluate Pressure Gradient using Kozeny Carman Equation?

Pressure Gradient using Kozeny Carman Equation evaluator uses Pressure Gradient = (150*Dynamic Viscosity*(1-Porosity)^2*Velocity)/((Sphericity of Particle)^2*(Equivalent Diameter)^2*(Porosity)^3) to evaluate 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 dPbydr symbol.

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

FAQs on Pressure Gradient using Kozeny Carman Equation

What is the formula to find Pressure Gradient using Kozeny Carman Equation?

The formula of Pressure Gradient using Kozeny Carman Equation is expressed as Pressure Gradient = (150*Dynamic Viscosity*(1-Porosity)^2*Velocity)/((Sphericity of Particle)^2*(Equivalent Diameter)^2*(Porosity)^3). Here is an example- 10.47695 = (150*0.059*(1-0.5)^2*60)/((18.46)^2*(0.55)^2*(0.5)^3).

How to calculate Pressure Gradient using Kozeny Carman Equation?

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

Can the Pressure Gradient using Kozeny Carman Equation be negative?

Yes, the Pressure Gradient using Kozeny Carman Equation, measured in Pressure Gradient can be negative.

Which unit is used to measure Pressure Gradient using Kozeny Carman Equation?

Pressure Gradient using Kozeny Carman Equation is usually measured using the Newton per Cubic Meter[N/m³] for Pressure Gradient. Newton per Cubic Inch[N/m³], Kilonewton per Cubic Kilometer[N/m³], Newton per Cubic Kilometer[N/m³] are the few other units in which Pressure Gradient using Kozeny Carman Equation can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Pressure Gradient using Kozeny Carman Equation Formula

Pressure Gradient using Kozeny Carman Equation Example

Pressure Gradient using Kozeny Carman Equation Solution

Pressure Gradient using Kozeny Carman Equation Formula Elements

Other formulas in Fluidisation category

How to Evaluate Pressure Gradient using Kozeny Carman Equation?

FAQs on Pressure Gradient using Kozeny Carman Equation

Variable Name