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)))
dm = sqrt((KH-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) - Mean Particle Size of the Porous Medium describing the 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) - Dynamic viscosity of the fluid is the measure of its resistance to flow when an external force is applied.
Shape Factor - Shape Factor 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) - Unit Weight of Fluid is the 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
dm = sqrt((KH-P*μ)/(C*(γ/1000))) --> sqrt((0.00441*1.6)/(1.8*(9807/1000)))
Evaluating ... ...
dm = 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)

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21 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
Coefficient of permeability at any temperature t for standard value of coefficient of permeability
Go Coefficient of Permeability at any Temperature t = (Standard Coefficient of Permeability at 20°C*Kinematic Viscosity at 20° C)/Kinematic Viscosity at t° C
Kinematic Viscosity at 20 degree Celsius for standard value of coefficient of permeability
Go Kinematic Viscosity at 20° C = (Coefficient of Permeability at any Temperature t*Kinematic Viscosity at t° C)/Standard Coefficient of Permeability at 20°C
Kinematic Viscosity for standard value of coefficient of permeability
Go Kinematic Viscosity at t° C = (Standard Coefficient of Permeability at 20°C*Kinematic Viscosity at 20° C)/Coefficient of Permeability at any Temperature t
Standard value of coefficient of permeability
Go Standard Coefficient of Permeability at 20°C = Coefficient of Permeability at any Temperature t*(Kinematic Viscosity at t° C/Kinematic Viscosity at 20° C)
Coefficient of permeability at temperature of permeameter experiment
Go Coefficient of Permeability at the temperature = (Discharge/Cross-Sectional Area)*(1/(Constant Head Difference/Length))
Cross sectional area when coefficient of permeability at permeameter experiment is considered
Go Cross-Sectional Area = Discharge/(Coefficient of Permeability at the temperature*(Constant Head Difference/Length))
Discharge when Coefficient of Permeability at Permeameter Experiment is Considered
Go Discharge = Coefficient of Permeability at the temperature*Cross-Sectional Area*(Constant Head Difference/Length)
Length when Coefficient of Permeability at Permeameter Experiment is Considered
Go Length = (Constant Head Difference*Cross-Sectional Area*Coefficient of Permeability at the temperature)/Discharge
Coefficient of Permeability when Specific or Intrinsic Permeability is Considered
Go Coefficient of Permeability at the temperature = Intrinsic Permeability*((Unit Weight of Fluid/1000)/Dynamic Viscosity of the Fluid)
Specific or Intrinsic Permeability when Coefficient of Permeability is Considered
Go Intrinsic Permeability = (Coefficient of Permeability at the temperature*Dynamic Viscosity of the Fluid)/(Unit Weight of Fluid/1000)
Specific or Intrinsic Permeability when Dynamic Viscosity is Considered
Go Intrinsic Permeability = (Coefficient of Permeability at the temperature*Dynamic Viscosity of the Fluid)/(Unit Weight of Fluid/1000)
Dynamic Viscosity when Specific or Intrinsic Permeability is Considered
Go Dynamic Viscosity of the Fluid = Intrinsic Permeability*((Unit Weight of Fluid/1000)/Coefficient of Permeability at the temperature)
Kinematic Viscosity when Specific or Intrinsic Permeability is Considered
Go Kinematic Viscosity = (Intrinsic Permeability*Acceleration due to Gravity)/Coefficient of Permeability
Equation for Specific or Intrinsic Permeability
Go Intrinsic Permeability = Shape Factor*Mean Particle Size of the Porous Medium^2
Kinematic Viscosity and Dynamic Viscosity Relation
Go Kinematic Viscosity = Dynamic Viscosity of the Fluid/Density of Fluid
Unit weight of fluid
Go Unit Weight of Fluid = Density of Fluid*Acceleration due to Gravity
Coefficient of Permeability when Transmissibility is Considered
Go Coefficient of Permeability = Transmissibility/Aquifer Thickness
Equivalent permeability when transmissivity of aquifer is considered
Go Equivalent Permeability = Transmissivity/Aquifer Thickness

Hagen Poiseuille flow or mean particle size of porous medium laminar flow through conduit 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)))
dm = sqrt((KH-P*μ)/(C*(γ/1000)))

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 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 dm 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) (KH-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 is defined as the mean of geometric size of the particles in the laminar flow and is represented as dm = sqrt((KH-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, Dynamic viscosity of the fluid is the measure of its resistance to flow when an external force is applied, Shape Factor which depends on the porosity, packing, shape of grains and grain-size distribution of the porous medium & Unit Weight of Fluid is the 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 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) (KH-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.
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