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

✖Coefficient of Permeability (Hagen-Poiseuille) also designated as hydraulic conductivity reflects the combined effect of porous medium and fluid properties.ⓘ Coefficient of Permeability (Hagen-Poiseuille) [K_H-P]			+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%
✖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 Unit Weight of Fluid is referred as weight per unit volume of a material/fluid.ⓘ Unit Weight of Fluid [γ]			+10% -10%

✖The Mean Particle Size of the Porous Medium is referred as dimensions of solid particles.ⓘ Hagen Poiseuille Flow or Mean Particle Size of Porous Medium Laminar Flow through Conduit [d_m]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Coefficient of Permeability Formulas PDF PDF Image

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

STEP 0: Pre-Calculation Summary

Formula Used

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)))
d_m = sqrt((K_H-P*μ)/(C*(γ/1000)))
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Permeability (Hagen-Poiseuille): 0.441 Centimeter per Second --> 0.00441 Meter per Second (Check conversion here)
Dynamic Viscosity of the Fluid: 1.6 Pascal Second --> 1.6 Pascal Second No Conversion Required
Shape Factor: 1.8 --> No Conversion Required
Unit Weight of Fluid: 9.807 Kilonewton per Cubic Meter --> 9807 Newton per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_m = sqrt((K_H-P*μ)/(C*(γ/1000))) --> sqrt((0.00441*1.6)/(1.8*(9807/1000)))

Evaluating ... ...

d_m = 0.0199928609671115

STEP 3: Convert Result to Output's Unit

0.0199928609671115 Meter --> No Conversion Required

FINAL ANSWER

0.0199928609671115 ≈ 0.019993 Meter <-- Mean Particle Size of the Porous Medium

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Engineering Hydrology » Groundwater Hydrology » Coefficient of Permeability » Hagen Poiseuille Flow or Mean Particle Size of Porous Medium Laminar Flow through Conduit

Credits

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< Coefficient of Permeability Calculators

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

LaTeX 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

LaTeX 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)

LaTeX 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

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

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

LaTeX Go

What is Coefficient of Permeability ?

The Coefficient of Permeability of a soil describes how easily a liquid will move through a soil. It is also commonly referred to as the hydraulic conductivity of a soil. This factor can be affected by the viscosity, or thickness(fluidity) of a liquid and its density.

How to Calculate Hagen Poiseuille Flow or Mean Particle Size of Porous Medium Laminar Flow through Conduit?

Hagen Poiseuille Flow or Mean Particle Size of Porous Medium Laminar Flow through Conduit calculator uses 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))) to calculate the Mean Particle Size of the Porous Medium, The Hagen Poiseuille Flow or Mean Particle Size of Porous Medium Laminar Flow through Conduit formula is defined as the mean of geometric size of the particles in the laminar flow. Mean Particle Size of the Porous Medium is denoted by d_m symbol.

How to calculate Hagen Poiseuille Flow or Mean Particle Size of Porous Medium Laminar Flow through Conduit using this online calculator? To use this online calculator for Hagen Poiseuille Flow or Mean Particle Size of Porous Medium Laminar Flow through Conduit, enter Coefficient of Permeability (Hagen-Poiseuille) (K_H-P), Dynamic Viscosity of the Fluid (μ), Shape Factor (C) & Unit Weight of Fluid (γ) and hit the calculate button. Here is how the Hagen Poiseuille Flow or Mean Particle Size of Porous Medium Laminar Flow through Conduit calculation can be explained with given input values -> 0.019993 = sqrt((0.00441*1.6)/(1.8*(9807/1000))).

FAQ

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

The Hagen Poiseuille Flow or Mean Particle Size of Porous Medium Laminar Flow through Conduit formula is defined as the mean of geometric size of the particles in the laminar flow and is represented as d_m = sqrt((K_H-P*μ)/(C*(γ/1000))) or 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))). Coefficient of Permeability (Hagen-Poiseuille) also designated as hydraulic conductivity reflects the combined effect of porous medium and fluid properties, The Dynamic Viscosity of the Fluid is referred as measure of its resistance to flow when an external force is applied, 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 Unit Weight of Fluid is referred as weight per unit volume of a material/fluid.

How to calculate Hagen Poiseuille Flow or Mean Particle Size of Porous Medium Laminar Flow through Conduit?

The Hagen Poiseuille Flow or Mean Particle Size of Porous Medium Laminar Flow through Conduit formula is defined as the mean of geometric size of the particles in the laminar flow is calculated using 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))). To calculate Hagen Poiseuille Flow or Mean Particle Size of Porous Medium Laminar Flow through Conduit, you need Coefficient of Permeability (Hagen-Poiseuille) (K_H-P), Dynamic Viscosity of the Fluid (μ), Shape Factor (C) & Unit Weight of Fluid (γ). With our tool, you need to enter the respective value for Coefficient of Permeability (Hagen-Poiseuille), Dynamic Viscosity of the Fluid, Shape Factor & Unit Weight of Fluid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search