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Coefficient of Permeability from Analogy of Laminar Flow (Hagen Poiseuille flow) Formula

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Coefficient of Permeability (Hagen-Poiseuille) also designated as hydraulic conductivity reflects the combined effect of porous medium and fluid properties. Check FAQs

K H-P = C \cdot ({d m}^{2}) \cdot \frac{\frac{γ}{1000}}{μ}

K_H-P - Coefficient of Permeability (Hagen-Poiseuille)?C - Shape Factor?d_m - Mean Particle Size of the Porous Medium?γ - Unit Weight of Fluid?μ - Dynamic Viscosity of the Fluid?

Coefficient of Permeability from Analogy of Laminar Flow (Hagen Poiseuille flow) Example

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Here is how the Coefficient of Permeability from Analogy of Laminar Flow (Hagen Poiseuille flow) equation looks like with Values.

Here is how the Coefficient of Permeability from Analogy of Laminar Flow (Hagen Poiseuille flow) equation looks like with Units.

Here is how the Coefficient of Permeability from Analogy of Laminar Flow (Hagen Poiseuille flow) equation looks like.

0.4413 = 1.8 \cdot ({0.02}^{2}) \cdot \frac{\frac{9.807}{1000}}{1.6}

0.4413cm/s = 1.8 \cdot ({0.02m}^{2}) \cdot \frac{\frac{9.807kN/m³}{1000}}{1.6Pa*s}

0.4413 = 1.8 \cdot ({0.02}^{2}) \cdot \frac{\frac{9.807}{1000}}{1.6}

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Coefficient of Permeability from Analogy of Laminar Flow (Hagen Poiseuille flow) Solution

Follow our step by step solution on how to calculate Coefficient of Permeability from Analogy of Laminar Flow (Hagen Poiseuille flow)?

FIRST Step Consider the formula

K H-P = C \cdot ({d m}^{2}) \cdot \frac{\frac{γ}{1000}}{μ}

Next Step Substitute values of Variables

∴

K H-P = 1.8 \cdot ({0.02m}^{2}) \cdot \frac{\frac{9.807kN/m³}{1000}}{1.6Pa*s}

Next Step Convert Units

∴

K H-P = 1.8 \cdot ({0.02m}^{2}) \cdot \frac{\frac{9807N/m³}{1000}}{1.6Pa*s}

Next Step Prepare to Evaluate

∴

K H-P = 1.8 \cdot ({0.02}^{2}) \cdot \frac{\frac{9807}{1000}}{1.6}

Next Step Evaluate

∴

K H-P = 0.00441315m/s

Next Step Convert to Output's Unit

∴

K H-P = 0.441315cm/s

LAST Step Rounding Answer

∴

K H-P = 0.4413cm/s

Coefficient of Permeability from Analogy of Laminar Flow (Hagen Poiseuille flow) Formula Elements

Variables

Coefficient of Permeability (Hagen-Poiseuille)

Coefficient of Permeability (Hagen-Poiseuille) also designated as hydraulic conductivity reflects the combined effect of porous medium and fluid properties.

Symbol: K_H-P

Measurement: SpeedUnit: cm/s

Note: Value can be positive or negative.

Formulas to find Coefficient of Permeability (Hagen-Poiseuille)

Shape Factor

The Shape Factor is referred as the measure which depends on the porosity, packing, shape of grains and grain-size distribution of the porous medium.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Shape Factor

Mean Particle Size of the Porous Medium

The Mean Particle Size of the Porous Medium is referred as dimensions of solid particles.

Symbol: d_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Mean Particle Size of the Porous Medium

Unit Weight of Fluid

The Unit Weight of Fluid is referred as weight per unit volume of a material/fluid.

Symbol: γ

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Unit Weight of Fluid

Dynamic Viscosity of the Fluid

The Dynamic Viscosity of the Fluid is referred as measure of its resistance to flow when an external force is applied.

Symbol: μ

Measurement: Dynamic ViscosityUnit: Pa*s

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity of the Fluid

Other formulas in Coefficient of Permeability category

Go Hagen Poiseuille Flow or Mean Particle Size of Porous Medium Laminar Flow through Conduit

d m = \sqrt{\frac{K H-P \cdot μ}{C \cdot (\frac{γ}{1000})}}

Go Unit weight of fluid

γ = ρ fluid \cdot g

Go Dynamic Viscosity of Fluid of Laminar Flow through Conduit or Hagen Poiseuille Flow

μ = (C \cdot {d m}^{2}) \cdot (\frac{\frac{γ}{1000}}{K H-P})

Go Kinematic Viscosity and Dynamic Viscosity Relation

ν = \frac{μ}{ρ fluid}

How to Evaluate Coefficient of Permeability from Analogy of Laminar Flow (Hagen Poiseuille flow)?

Coefficient of Permeability from Analogy of Laminar Flow (Hagen Poiseuille flow) evaluator uses Coefficient of Permeability (Hagen-Poiseuille) = Shape Factor*(Mean Particle Size of the Porous Medium^2)*(Unit Weight of Fluid/1000)/Dynamic Viscosity of the Fluid to evaluate the Coefficient of Permeability (Hagen-Poiseuille), The Coefficient of Permeability from Analogy of Laminar Flow (Hagen Poiseuille flow) formula is defined as a measure of how easily a liquid can move through soil. It is also commonly referred to as the hydraulic conductivity of soil. This factor can be affected by the viscosity (fluidity) and density of the liquid. Coefficient of Permeability (Hagen-Poiseuille) is denoted by K_H-P symbol.

How to evaluate Coefficient of Permeability from Analogy of Laminar Flow (Hagen Poiseuille flow) using this online evaluator? To use this online evaluator for Coefficient of Permeability from Analogy of Laminar Flow (Hagen Poiseuille flow), enter Shape Factor (C), Mean Particle Size of the Porous Medium (d_m), Unit Weight of Fluid (γ) & Dynamic Viscosity of the Fluid (μ) and hit the calculate button.

FAQs on Coefficient of Permeability from Analogy of Laminar Flow (Hagen Poiseuille flow)

What is the formula to find Coefficient of Permeability from Analogy of Laminar Flow (Hagen Poiseuille flow)?

The formula of Coefficient of Permeability from Analogy of Laminar Flow (Hagen Poiseuille flow) is expressed as Coefficient of Permeability (Hagen-Poiseuille) = Shape Factor*(Mean Particle Size of the Porous Medium^2)*(Unit Weight of Fluid/1000)/Dynamic Viscosity of the Fluid. Here is an example- 44.1315 = 1.8*(0.02^2)*(9807/1000)/1.6.

How to calculate Coefficient of Permeability from Analogy of Laminar Flow (Hagen Poiseuille flow)?

With Shape Factor (C), Mean Particle Size of the Porous Medium (d_m), Unit Weight of Fluid (γ) & Dynamic Viscosity of the Fluid (μ) we can find Coefficient of Permeability from Analogy of Laminar Flow (Hagen Poiseuille flow) using the formula - Coefficient of Permeability (Hagen-Poiseuille) = Shape Factor*(Mean Particle Size of the Porous Medium^2)*(Unit Weight of Fluid/1000)/Dynamic Viscosity of the Fluid.

Can the Coefficient of Permeability from Analogy of Laminar Flow (Hagen Poiseuille flow) be negative?

Yes, the Coefficient of Permeability from Analogy of Laminar Flow (Hagen Poiseuille flow), measured in Speed can be negative.

Which unit is used to measure Coefficient of Permeability from Analogy of Laminar Flow (Hagen Poiseuille flow)?

Coefficient of Permeability from Analogy of Laminar Flow (Hagen Poiseuille flow) is usually measured using the Centimeter per Second[cm/s] for Speed. Meter per Second[cm/s], Meter per Minute[cm/s], Meter per Hour[cm/s] are the few other units in which Coefficient of Permeability from Analogy of Laminar Flow (Hagen Poiseuille flow) can be measured.

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Coefficient of Permeability from Analogy of Laminar Flow (Hagen Poiseuille flow) Formula

Coefficient of Permeability from Analogy of Laminar Flow (Hagen Poiseuille flow) Example

Coefficient of Permeability from Analogy of Laminar Flow (Hagen Poiseuille flow) Solution

Coefficient of Permeability from Analogy of Laminar Flow (Hagen Poiseuille flow) Formula Elements

Other formulas in Coefficient of Permeability category

How to Evaluate Coefficient of Permeability from Analogy of Laminar Flow (Hagen Poiseuille flow)?

FAQs on Coefficient of Permeability from Analogy of Laminar Flow (Hagen Poiseuille flow)

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