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

✖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.ⓘ Shape Factor [C]			+10% -10%
✖The Mean Particle Size of the Porous Medium is referred as dimensions of solid particles.ⓘ Mean Particle Size of the Porous Medium [d_m]			+10% -10%
✖The Unit Weight of Fluid is referred as weight per unit volume of a material/fluid.ⓘ Unit Weight of Fluid [γ]			+10% -10%
✖The Dynamic Viscosity of the Fluid is referred as measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity of the Fluid [μ]			+10% -10%

✖Coefficient of Permeability (Hagen-Poiseuille) also designated as hydraulic conductivity reflects the combined effect of porous medium and fluid properties.ⓘ Coefficient of Permeability from Analogy of Laminar Flow (Hagen Poiseuille flow) [K_H-P]

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Formula

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

Formula

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

Example

0.441315 cm/s = 1.8 \cdot ({0.02 m}^{2}) \cdot \frac{\frac{9.807 kN/m³}{1000}}{1.6 Pa*s}

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

STEP 0: Pre-Calculation Summary

Formula Used

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
K_H-P = C*(d_m^2)*(γ/1000)/μ
This formula uses 5 Variables

Variables Used

Coefficient of Permeability (Hagen-Poiseuille) - (Measured in Meter per Second) - Coefficient of Permeability (Hagen-Poiseuille) also designated as hydraulic conductivity reflects the combined effect of porous medium and fluid properties.
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.
Mean Particle Size of the Porous Medium - (Measured in Meter) - The Mean Particle Size of the Porous Medium is referred as dimensions of solid particles.
Unit Weight of Fluid - (Measured in Newton per Cubic Meter) - The Unit Weight of Fluid is referred as weight per unit volume of a material/fluid.
Dynamic Viscosity of the Fluid - (Measured in Pascal Second) - The Dynamic Viscosity of the Fluid is referred as measure of its resistance to flow when an external force is applied.

STEP 1: Convert Input(s) to Base Unit

Shape Factor: 1.8 --> No Conversion Required
Mean Particle Size of the Porous Medium: 0.02 Meter --> 0.02 Meter No Conversion Required
Unit Weight of Fluid: 9.807 Kilonewton per Cubic Meter --> 9807 Newton per Cubic Meter (Check conversion here)
Dynamic Viscosity of the Fluid: 1.6 Pascal Second --> 1.6 Pascal Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_H-P = C*(d_m^2)*(γ/1000)/μ --> 1.8*(0.02^2)*(9807/1000)/1.6

Evaluating ... ...

K_H-P = 0.00441315

STEP 3: Convert Result to Output's Unit

0.00441315 Meter per Second -->0.441315 Centimeter per Second (Check conversion here)

FINAL ANSWER

0.441315 Centimeter per Second <-- Coefficient of Permeability (Hagen-Poiseuille)

(Calculation completed in 00.004 seconds)

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< Coefficient of Permeability Calculators

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

Go Mean Particle Size of the Porous Medium = sqrt((Coefficient of Permeability (Hagen-Poiseuille)*Dynamic Viscosity of the Fluid)/(Shape Factor*(Unit Weight of Fluid/1000)))

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

Go Dynamic Viscosity of the Fluid = (Shape Factor*Mean Particle Size of the Porous Medium^2)*((Unit Weight of Fluid/1000)/Coefficient of Permeability (Hagen-Poiseuille))

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

Go 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

Unit weight of fluid

Go Unit Weight of Fluid = Density of Fluid*Acceleration due to Gravity

Coefficient of Permeability from Analogy of Laminar Flow (Hagen Poiseuille flow) 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
K_H-P = C*(d_m^2)*(γ/1000)/μ

What is Darcy's Law in Hydrology?

Darcy's law is an equation that describes the flow of a fluid through a porous medium. The law was formulated by Henry Darcy based on results of experiments on the flow of water through beds of sand, forming the basis of hydrogeology, a branch of earth sciences.

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

Coefficient of Permeability from Analogy of Laminar Flow (Hagen Poiseuille flow) calculator 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 calculate 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 calculate Coefficient of Permeability from Analogy of Laminar Flow (Hagen Poiseuille flow) using this online calculator? To use this online calculator 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. Here is how the Coefficient of Permeability from Analogy of Laminar Flow (Hagen Poiseuille flow) calculation can be explained with given input values -> 44.1315 = 1.8*(0.02^2)*(9807/1000)/1.6.

FAQ

What is Coefficient of Permeability from Analogy of Laminar Flow (Hagen Poiseuille flow)?

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 and is represented as K_H-P = C*(d_m^2)*(γ/1000)/μ or 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. 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, The Mean Particle Size of the Porous Medium is referred as dimensions of solid particles, The Unit Weight of Fluid is referred as weight per unit volume of a material/fluid & The Dynamic Viscosity of the Fluid is referred as measure of its resistance to flow when an external force is applied.

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

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 is calculated using 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 calculate Coefficient of Permeability from Analogy of Laminar Flow (Hagen Poiseuille flow), you need Shape Factor (C), Mean Particle Size of the Porous Medium (d_m), Unit Weight of Fluid (γ) & Dynamic Viscosity of the Fluid (μ). With our tool, you need to enter the respective value for Shape Factor, Mean Particle Size of the Porous Medium, Unit Weight of Fluid & Dynamic Viscosity of the Fluid 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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