Liquid Flow through Pore Based On Poiseuilles Law Calculator

✖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%
✖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.ⓘ Viscosity of Liquid [μ_l]			+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%
✖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%

✖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 Based On Poiseuilles Law [q]

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Liquid Flow through Pore Based On Poiseuilles Law

Formula

`"q" = ((pi*("d"_{"p"})^4)/(128*"μ"_{"l"}*"l"))*"ΔP"`

Example

`"2.5E^-10m³/s"=((pi*("0.0001m")^4)/(128*"0.01Pa*s"*"0.1m"))*"100000Pa"`

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Liquid Flow through Pore Based On Poiseuilles Law Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Membrane Pore Diameter: 0.0001 Meter --> 0.0001 Meter No Conversion Required
Viscosity of Liquid: 0.01 Pascal Second --> 0.01 Pascal Second No Conversion Required
Length of Pore: 0.1 Meter --> 0.1 Meter No Conversion Required
Pressure Difference Across Pore: 100000 Pascal --> 100000 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q = ((pi*(d_p)^4)/(128*μ_l*l))*ΔP --> ((pi*(0.0001)^4)/(128*0.01*0.1))*100000

Evaluating ... ...

q = 2.45436926061703E-10

STEP 3: Convert Result to Output's Unit

2.45436926061703E-10 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

2.45436926061703E-10 ≈ 2.5E-10 Cubic Meter per Second <-- Liquid Flow through Pore

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Mass Transfer Operations » Membrane Separation » Basics of Membrane Separation Processes » Liquid Flow through Pore Based On Poiseuilles Law

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< 16 Basics of Membrane Separation Processes Calculators

Concentration of Mass at Membrane Surface

Go Solute Concentration at Membrane Surface = exp(Water Flux/Mass Transfer Coefficient at Membrane Surface)/((Solute Rejection+(1-Solute Rejection)*exp(Water Flux/Mass Transfer Coefficient at Membrane Surface)))*Bulk Concentration

Partial Molar Volume of Water based on Solution Diffusion Model

Go Partial Molar Volume = (Mass Water Flux*[R]*Temperature*Membrane Layer Thickness)/(Membrane Water Diffusivity*Membrane Water Concentration*(Membrane Pressure Drop-Osmotic Pressure))

Water Permeability based on Initial flux

Go Water Permeability Through Membrane = Volumetric Water Flux Through Membrane/(Applied Pressure Driving Force*(1-(([R]*Temperature*Molecular Weight)/(Initial Volume*Applied Pressure Driving Force))))

Time of Dialysis using Hollow Fiber Haemodialyser

Go Time of Dialysis = (Volume of blood/Volumetric Rate of Blood)*ln(Initial Concentration In Blood/Final Concentration In Blood)*((1-(e^-No of Transfer Units))^-1)

Hagen Poiseuille Based Flux for Membrane Separation

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

Liquid Viscosity Based On Hagen Poiseuille Equation

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

Tortuosity Factor of Pores

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

Pressure Difference across Pore based on Poiseuille's Law

Go Pressure Difference Across Pore = (Liquid Flow through Pore*128*Viscosity of Liquid*Length of Pore)/(pi*(Membrane Pore Diameter)^(4))

Liquid Flow through Pore Based On Poiseuilles Law

Go Liquid Flow through Pore = ((pi*(Membrane Pore Diameter)^4)/(128*Viscosity of Liquid*Length of Pore))*Pressure Difference Across Pore

Liquid Viscosity based on Poiseuille's Law

Go Viscosity of Liquid = (Pressure Difference Across Pore*pi*(Membrane Pore Diameter)^(4))/(Liquid Flow through Pore*128*Length of Pore)

Liquid Viscosity based on Membrane Resistance

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

Membrane Flux Based on Resistance

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

Resistance to flow in Membranes

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

Applied Pressure Driving Force Based on Permeability of Membrane

Go Applied Pressure Driving Force = Flux through Membrane/Water Permeability Through Membrane

Water Permeability through Membrane

Go Water Permeability Through Membrane = Flux through Membrane/Applied Pressure Driving Force

Membrane Flux Based on Water Permeability

Go Flux through Membrane = Water Permeability Through Membrane*Applied Pressure

Liquid Flow through Pore Based On Poiseuilles Law Formula

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

What are the Different Paramaters Needed For Calculating Pore Diameter Based on Poiseuilles Law?

Poiseuille's law can be used to calculate the flow rate of liquid through a pore, given the following parameters:

Pore radius
The pressure difference between the two ends of the pore
Viscosity of the fluid
Length of the pore

State Poiseuilles Law?

Poiseuille's law, also known as the Hagen–Poiseuille equation or Hagen–Poiseuille law, is a physical law that gives the pressure drop in an incompressible and Newtonian fluid in laminar flow flowing through a long cylindrical pipe of constant cross section. It is named after Jean Léonard Marie Poiseuille and Gotthilf Hagen, who independently derived the equation in the mid-19th century.

How to Calculate Liquid Flow through Pore Based On Poiseuilles Law?

Liquid Flow through Pore Based On Poiseuilles Law calculator uses Liquid Flow through Pore = ((pi*(Membrane Pore Diameter)^4)/(128*Viscosity of Liquid*Length of Pore))*Pressure Difference Across Pore to calculate the Liquid Flow through Pore, Liquid flow through pore based on Poiseuilles 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 Membrane Based On Poiseuilles 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 is denoted by q symbol.

How to calculate Liquid Flow through Pore Based On Poiseuilles Law using this online calculator? To use this online calculator for Liquid Flow through Pore Based On Poiseuilles Law, enter Membrane Pore Diameter (d_p), Viscosity of Liquid (μ_l), Length of Pore (l) & Pressure Difference Across Pore (ΔP) and hit the calculate button. Here is how the Liquid Flow through Pore Based On Poiseuilles Law calculation can be explained with given input values -> 2.5E-9 = ((pi*(0.0001)^4)/(128*0.01*0.1))*100000.

FAQ

What is Liquid Flow through Pore Based On Poiseuilles Law?

Liquid flow through pore based on Poiseuilles 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 Membrane Based On Poiseuilles Law is defined as the laminar flow of an incompressible and Newtonian fluid through a long cylindrical pore of constant cross-section and is represented as q = ((pi*(d_p)^4)/(128*μ_l*l))*ΔP or Liquid Flow through Pore = ((pi*(Membrane Pore Diameter)^4)/(128*Viscosity of Liquid*Length of Pore))*Pressure Difference Across 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, 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, 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 & 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.

How to calculate Liquid Flow through Pore Based On Poiseuilles Law?

Liquid flow through pore based on Poiseuilles 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 Membrane Based On Poiseuilles Law is defined as the laminar flow of an incompressible and Newtonian fluid through a long cylindrical pore of constant cross-section is calculated using Liquid Flow through Pore = ((pi*(Membrane Pore Diameter)^4)/(128*Viscosity of Liquid*Length of Pore))*Pressure Difference Across Pore. To calculate Liquid Flow through Pore Based On Poiseuilles Law, you need Membrane Pore Diameter (d_p), Viscosity of Liquid (μ_l), Length of Pore (l) & Pressure Difference Across Pore (ΔP). With our tool, you need to enter the respective value for Membrane Pore Diameter, Viscosity of Liquid, Length of Pore & Pressure Difference Across 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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