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

STEP 0: Pre-Calculation Summary
Formula Used
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))
μ = (C*dm^2)*((γ/1000)/KH-P)
This formula uses 5 Variables
Variables Used
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.
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.
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.
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)
Coefficient of Permeability (Hagen-Poiseuille): 0.441 Centimeter per Second --> 0.00441 Meter per Second (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
μ = (C*dm^2)*((γ/1000)/KH-P) --> (1.8*0.02^2)*((9807/1000)/0.00441)
Evaluating ... ...
μ = 1.60114285714286
STEP 3: Convert Result to Output's Unit
1.60114285714286 Pascal Second --> No Conversion Required
FINAL ANSWER
1.60114285714286 1.601143 Pascal Second <-- Dynamic Viscosity of the Fluid
(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
​ 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

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

​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))
μ = (C*dm^2)*((γ/1000)/KH-P)

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

Dynamic Viscosity of Fluid of Laminar Flow through Conduit or Hagen Poiseuille Flow calculator uses 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)) to calculate the Dynamic Viscosity of the Fluid, The Dynamic Viscosity of Fluid of Laminar Flow through Conduit or Hagen Poiseuille Flow formula is defined as the laminar flow that occurs in layers without mixing and the viscosity causes drag between layers as well as with the fixed surface. Dynamic Viscosity of the Fluid is denoted by μ symbol.

How to calculate Dynamic Viscosity of Fluid of Laminar Flow through Conduit or Hagen Poiseuille Flow using this online calculator? To use this online calculator for Dynamic Viscosity of Fluid of Laminar Flow through Conduit or Hagen Poiseuille Flow, enter Shape Factor (C), Mean Particle Size of the Porous Medium (dm), Unit Weight of Fluid (γ) & Coefficient of Permeability (Hagen-Poiseuille) (KH-P) and hit the calculate button. Here is how the Dynamic Viscosity of Fluid of Laminar Flow through Conduit or Hagen Poiseuille Flow calculation can be explained with given input values -> 1.601143 = (1.8*0.02^2)*((9807/1000)/0.00441).

FAQ

What is Dynamic Viscosity of Fluid of Laminar Flow through Conduit or Hagen Poiseuille Flow?
The Dynamic Viscosity of Fluid of Laminar Flow through Conduit or Hagen Poiseuille Flow formula is defined as the laminar flow that occurs in layers without mixing and the viscosity causes drag between layers as well as with the fixed surface and is represented as μ = (C*dm^2)*((γ/1000)/KH-P) or 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)). 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 & Coefficient of Permeability (Hagen-Poiseuille) also designated as hydraulic conductivity reflects the combined effect of porous medium and fluid properties.
How to calculate Dynamic Viscosity of Fluid of Laminar Flow through Conduit or Hagen Poiseuille Flow?
The Dynamic Viscosity of Fluid of Laminar Flow through Conduit or Hagen Poiseuille Flow formula is defined as the laminar flow that occurs in layers without mixing and the viscosity causes drag between layers as well as with the fixed surface is calculated using 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)). To calculate Dynamic Viscosity of Fluid of Laminar Flow through Conduit or Hagen Poiseuille Flow, you need Shape Factor (C), Mean Particle Size of the Porous Medium (dm), Unit Weight of Fluid (γ) & Coefficient of Permeability (Hagen-Poiseuille) (KH-P). With our tool, you need to enter the respective value for Shape Factor, Mean Particle Size of the Porous Medium, Unit Weight of Fluid & Coefficient of Permeability (Hagen-Poiseuille) and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Dynamic Viscosity of the Fluid?
In this formula, Dynamic Viscosity of the Fluid uses Shape Factor, Mean Particle Size of the Porous Medium, Unit Weight of Fluid & Coefficient of Permeability (Hagen-Poiseuille). We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Dynamic Viscosity of the Fluid = Intrinsic Permeability*((Unit Weight of Fluid/1000)/Coefficient of Permeability at 20° C)
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