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) - 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.
Mean Particle Size of the Porous Medium - (Measured in Meter) - Mean Particle Size of the Porous Medium describing the dimensions of solid particles.
Unit Weight of Fluid - (Measured in Newton per Cubic Meter) - Unit Weight of Fluid is the 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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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

Dynamic viscosity of fluid of laminar flow through conduit or Hagen Poiseuille flow Formula

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, Dynamic viscosity of fluid of laminar flow through conduit or Hagen Poiseuille flow 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?
Dynamic viscosity of fluid of laminar flow through conduit or Hagen Poiseuille flow 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)). Shape Factor which depends on the porosity, packing, shape of grains and grain-size distribution of the porous medium, Mean Particle Size of the Porous Medium describing the dimensions of solid particles, Unit Weight of Fluid is the 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?
Dynamic viscosity of fluid of laminar flow through conduit or Hagen Poiseuille flow 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 the temperature)
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