Liquid Viscosity based on Poiseuille's Law Calculator

✖Pressure difference across pore is the difference in pressure between the two ends of the pore. It is a driving force for the flow of liquid through the pore.ⓘ Pressure Difference Across Pore [ΔP]			+10% -10%
✖Membrane Pore diameter based on Poiseuille's law is defined as the radius of a cylindrical pore that would produce the same flow rate.ⓘ Membrane Pore Diameter [d_p]			+10% -10%
✖Liquid flow through pore based on Poiseuille's law is defined as the laminar flow of an incompressible and Newtonian fluid through a long cylindrical pore of constant cross-section.ⓘ Liquid Flow through Pore [q]			+10% -10%
✖Length of pore is the distance between the two ends of the pore. It is an important parameter in Poiseuille's law, which describes the flow rate of liquid through a pore.ⓘ Length of Pore [l]			+10% -10%

✖Viscosity of liquid is a measure of its resistance to flow. It is defined as the shear stress required to produce a unit rate of shear strain.ⓘ Liquid Viscosity based on Poiseuille's Law [μ_l]

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Liquid Viscosity based on Poiseuille's Law Solution

STEP 0: Pre-Calculation Summary

Formula Used

Viscosity of Liquid = (Pressure Difference Across Pore*pi*(Membrane Pore Diameter)^(4))/(Liquid Flow through Pore*128*Length of Pore)
μ_l = (ΔP*pi*(d_p)^(4))/(q*128*l)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Viscosity of Liquid - (Measured in Pascal Second) - Viscosity of liquid is a measure of its resistance to flow. It is defined as the shear stress required to produce a unit rate of shear strain.
Pressure Difference Across Pore - (Measured in Pascal) - Pressure difference across pore is the difference in pressure between the two ends of the pore. It is a driving force for the flow of liquid through the pore.
Membrane Pore Diameter - (Measured in Meter) - Membrane Pore diameter based on Poiseuille's law is defined as the radius of a cylindrical pore that would produce the same flow rate.
Liquid Flow through Pore - (Measured in Cubic Meter per Second) - Liquid flow through pore based on Poiseuille's law is defined as the laminar flow of an incompressible and Newtonian fluid through a long cylindrical pore of constant cross-section.
Length of Pore - (Measured in Meter) - Length of pore is the distance between the two ends of the pore. It is an important parameter in Poiseuille's law, which describes the flow rate of liquid through a pore.

STEP 1: Convert Input(s) to Base Unit

Pressure Difference Across Pore: 100000 Pascal --> 100000 Pascal No Conversion Required
Membrane Pore Diameter: 0.0001 Meter --> 0.0001 Meter No Conversion Required
Liquid Flow through Pore: 2.453E-10 Cubic Meter per Second --> 2.453E-10 Cubic Meter per Second No Conversion Required
Length of Pore: 0.1 Meter --> 0.1 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ_l = (ΔP*pi*(d_p)^(4))/(q*128*l) --> (100000*pi*(0.0001)^(4))/(2.453E-10*128*0.1)

Evaluating ... ...

μ_l = 0.0100055819837628

STEP 3: Convert Result to Output's Unit

0.0100055819837628 Pascal Second --> No Conversion Required

FINAL ANSWER

0.0100055819837628 ≈ 0.010006 Pascal Second <-- Viscosity of Liquid

(Calculation completed in 00.004 seconds)

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< Basics of Membrane Separation Processes Calculators

Hagen Poiseuille Based Flux for Membrane Separation

LaTeX Go Flux through Membrane = (Membrane Porosity*Pore Diameter^2*Applied Pressure Driving Force)/(32*Liquid Viscosity*Tortuosity*Membrane Thickness)

Liquid Viscosity based on Membrane Resistance

LaTeX Go Liquid Viscosity = Applied Pressure Driving Force/(Membrane Flow Resistance of Unit Area*Flux through Membrane)

Membrane Flux Based on Resistance

LaTeX Go Flux through Membrane = Applied Pressure Driving Force/(Membrane Flow Resistance of Unit Area*Liquid Viscosity)

Resistance to flow in Membranes

LaTeX Go Membrane Flow Resistance of Unit Area = Applied Pressure Driving Force/(Liquid Viscosity*Flux through Membrane)

Liquid Viscosity based on Poiseuille's Law Formula

LaTeX Go

Viscosity of Liquid = (Pressure Difference Across Pore*pi*(Membrane Pore Diameter)^(4))/(Liquid Flow through Pore*128*Length of Pore)
μ_l = (ΔP*pi*(d_p)^(4))/(q*128*l)

What does Poiseuille's Law states?

Poiseuille's law states that the flow rate of a fluid through a pore is proportional to the fourth power of the pore radius and inversely proportional to the length of the pore. It is also proportional to the pressure difference between the two ends of the pore and inversely proportional to the viscosity of the fluid.

How to Calculate Liquid Viscosity based on Poiseuille's Law?

Liquid Viscosity based on Poiseuille's Law calculator uses Viscosity of Liquid = (Pressure Difference Across Pore*pi*(Membrane Pore Diameter)^(4))/(Liquid Flow through Pore*128*Length of Pore) to calculate the Viscosity of Liquid, Liquid Viscosity based on Poiseuille's law states that the flow rate of a liquid through a tube is inversely proportional to the liquid's viscosity. Viscosity of Liquid is denoted by μ_l symbol.

How to calculate Liquid Viscosity based on Poiseuille's Law using this online calculator? To use this online calculator for Liquid Viscosity based on Poiseuille's Law, enter Pressure Difference Across Pore (ΔP), Membrane Pore Diameter (d_p), Liquid Flow through Pore (q) & Length of Pore (l) and hit the calculate button. Here is how the Liquid Viscosity based on Poiseuille's Law calculation can be explained with given input values -> 0.010006 = (100000*pi*(0.0001)^(4))/(2.453E-10*128*0.1).

FAQ

What is Liquid Viscosity based on Poiseuille's Law?

Liquid Viscosity based on Poiseuille's law states that the flow rate of a liquid through a tube is inversely proportional to the liquid's viscosity and is represented as μ_l = (ΔP*pi*(d_p)^(4))/(q*128*l) or Viscosity of Liquid = (Pressure Difference Across Pore*pi*(Membrane Pore Diameter)^(4))/(Liquid Flow through Pore*128*Length of Pore). Pressure difference across pore is the difference in pressure between the two ends of the pore. It is a driving force for the flow of liquid through the pore, Membrane Pore diameter based on Poiseuille's law is defined as the radius of a cylindrical pore that would produce the same flow rate, Liquid flow through pore based on Poiseuille's law is defined as the laminar flow of an incompressible and Newtonian fluid through a long cylindrical pore of constant cross-section & Length of pore is the distance between the two ends of the pore. It is an important parameter in Poiseuille's law, which describes the flow rate of liquid through a pore.

How to calculate Liquid Viscosity based on Poiseuille's Law?

Liquid Viscosity based on Poiseuille's law states that the flow rate of a liquid through a tube is inversely proportional to the liquid's viscosity is calculated using Viscosity of Liquid = (Pressure Difference Across Pore*pi*(Membrane Pore Diameter)^(4))/(Liquid Flow through Pore*128*Length of Pore). To calculate Liquid Viscosity based on Poiseuille's Law, you need Pressure Difference Across Pore (ΔP), Membrane Pore Diameter (d_p), Liquid Flow through Pore (q) & Length of Pore (l). With our tool, you need to enter the respective value for Pressure Difference Across Pore, Membrane Pore Diameter, Liquid Flow through Pore & Length of Pore 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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