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

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

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

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

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

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Here is how the Hagen Poiseuille Flow or Mean Particle Size of Porous Medium Laminar Flow through Conduit equation looks like with Values.

Here is how the Hagen Poiseuille Flow or Mean Particle Size of Porous Medium Laminar Flow through Conduit equation looks like with Units.

Here is how the Hagen Poiseuille Flow or Mean Particle Size of Porous Medium Laminar Flow through Conduit equation looks like.

0.02 = \sqrt{\frac{0.441 \cdot 1.6}{1.8 \cdot (\frac{9.807}{1000})}}

0.02m = \sqrt{\frac{0.441cm/s \cdot 1.6Pa*s}{1.8 \cdot (\frac{9.807kN/m³}{1000})}}

0.02 = \sqrt{\frac{0.441 \cdot 1.6}{1.8 \cdot (\frac{9.807}{1000})}}

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

Follow our step by step solution on how to calculate Hagen Poiseuille Flow or Mean Particle Size of Porous Medium Laminar Flow through Conduit?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d m = \sqrt{\frac{0.441cm/s \cdot 1.6Pa*s}{1.8 \cdot (\frac{9.807kN/m³}{1000})}}

Next Step Convert Units

∴

d m = \sqrt{\frac{0.0044m/s \cdot 1.6Pa*s}{1.8 \cdot (\frac{9807N/m³}{1000})}}

Next Step Prepare to Evaluate

∴

d m = \sqrt{\frac{0.0044 \cdot 1.6}{1.8 \cdot (\frac{9807}{1000})}}

Next Step Evaluate

∴

d m = 0.0199928609671115m

LAST Step Rounding Answer

∴

d m = 0.02m

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

Variables

Functions

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

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)

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

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

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

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.

Syntax: sqrt(Number)

Other formulas in Coefficient of Permeability category

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

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

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 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 evaluator 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 evaluate 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 evaluate Hagen Poiseuille Flow or Mean Particle Size of Porous Medium Laminar Flow through Conduit using this online evaluator? To use this online evaluator 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.

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

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

The formula of Hagen Poiseuille Flow or Mean Particle Size of Porous Medium Laminar Flow through Conduit is expressed as 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))). Here is an example- 0.019993 = sqrt((0.00441*1.6)/(1.8*(9807/1000))).

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

With Coefficient of Permeability (Hagen-Poiseuille) (K_H-P), Dynamic Viscosity of the Fluid (μ), Shape Factor (C) & Unit Weight of Fluid (γ) we can find Hagen Poiseuille Flow or Mean Particle Size of Porous Medium Laminar Flow through Conduit using the formula - 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))). This formula also uses Square Root (sqrt) function(s).

Can the Hagen Poiseuille Flow or Mean Particle Size of Porous Medium Laminar Flow through Conduit be negative?

No, the Hagen Poiseuille Flow or Mean Particle Size of Porous Medium Laminar Flow through Conduit, measured in Length cannot be negative.

Which unit is used to measure 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 is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Hagen Poiseuille Flow or Mean Particle Size of Porous Medium Laminar Flow through Conduit can be measured.

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

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

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

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

Other formulas in Coefficient of Permeability category

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

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

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