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Hagen Poiseuille Based Flux for Membrane Separation Formula

GoMembrane Flux Based on Resistance Formula

GoMembrane Flux Based on Water Permeability Formula

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Flux through membrane is defined as the rate of movement or transfer of a substance per unit area across a porous barrier known as a membrane. Check FAQs

J wM = \frac{ε \cdot d^{2} \cdot ΔP m}{32 \cdot μ \cdot Τ \cdot l mt}

J_wM - Flux through Membrane?ε - Membrane Porosity?d - Pore Diameter?ΔP_m - Applied Pressure Driving Force?μ - Liquid Viscosity?Τ - Tortuosity?l_mt - Membrane Thickness?

Hagen Poiseuille Based Flux for Membrane Separation Example

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Here is how the Hagen Poiseuille Based Flux for Membrane Separation equation looks like with Values.

Here is how the Hagen Poiseuille Based Flux for Membrane Separation equation looks like with Units.

Here is how the Hagen Poiseuille Based Flux for Membrane Separation equation looks like.

0.0069 = \frac{0.35 \cdot {6.3245}^{2} \cdot 300000}{32 \cdot 0.0009 \cdot 280 \cdot 75}

0.0069m³/(m²*s) = \frac{0.35 \cdot {6.3245μm}^{2} \cdot 300000Pa}{32 \cdot 0.0009Kg/ms \cdot 280 \cdot 75μm}

0.0069 = \frac{0.35 \cdot {6.3245}^{2} \cdot 300000}{32 \cdot 0.0009 \cdot 280 \cdot 75}

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Hagen Poiseuille Based Flux for Membrane Separation Solution

Follow our step by step solution on how to calculate Hagen Poiseuille Based Flux for Membrane Separation?

FIRST Step Consider the formula

J wM = \frac{ε \cdot d^{2} \cdot ΔP m}{32 \cdot μ \cdot Τ \cdot l mt}

Next Step Substitute values of Variables

∴

J wM = \frac{0.35 \cdot {6.3245μm}^{2} \cdot 300000Pa}{32 \cdot 0.0009Kg/ms \cdot 280 \cdot 75μm}

Next Step Convert Units

∴

J wM = \frac{0.35 \cdot {6.3E-6m}^{2} \cdot 300000Pa}{32 \cdot 0.0009Pa*s \cdot 280 \cdot 7.5E-5m}

Next Step Prepare to Evaluate

∴

J wM = \frac{0.35 \cdot {6.3E-6}^{2} \cdot 300000}{32 \cdot 0.0009 \cdot 280 \cdot 7.5E-5}

Next Step Evaluate

∴

J wM = 0.00694432296006944m³/(m²*s)

LAST Step Rounding Answer

∴

J wM = 0.0069m³/(m²*s)

Hagen Poiseuille Based Flux for Membrane Separation Formula Elements

Variables

Flux through Membrane

Flux through membrane is defined as the rate of movement or transfer of a substance per unit area across a porous barrier known as a membrane.

Symbol: J_wM

Measurement: Membrane FluxUnit: m³/(m²*s)

Note: Value should be greater than 0.

Formulas to find Flux through Membrane

Membrane Porosity

Membrane porosity is defined as the void volume fraction of a membrane. It is the volume of the pores divided by the total volume of the membrane.

Symbol: ε

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Membrane Porosity

Pore Diameter

Pore diameter is defined as the distance between two opposite walls of a pore.

Symbol: d

Measurement: LengthUnit: μm

Note: Value should be greater than 0.

Formulas to find Pore Diameter

Applied Pressure Driving Force

Applied Pressure Driving Force is defined as the force or pressure that is intentionally exerted or applied to induce or facilitate process.

Symbol: ΔP_m

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Applied Pressure Driving Force

Liquid Viscosity

Liquid viscosity is defined as the measure of a fluid's resistance to flow or its internal friction when subjected to an external force.

Symbol: μ

Measurement: Dynamic ViscosityUnit: Kg/ms

Note: Value should be greater than 0.

Formulas to find Liquid Viscosity

Tortuosity

Tortuosity is an intrinsic property of a porous material usually defined as the ratio of actual flow path length to the straight distance between the ends of the flow path.

Symbol: Τ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Tortuosity

Membrane Thickness

Membrane thickness is defined as the difference between the internal and outernal boundary of the membrane.

Symbol: l_mt

Measurement: LengthUnit: μm

Note: Value should be greater than 0.

Formulas to find Membrane Thickness

Other Formulas to find Flux through Membrane

Go Membrane Flux Based on Resistance

J wM = \frac{ΔP m}{R m \cdot μ}

Go Membrane Flux Based on Water Permeability

J wM = L p \cdot P A

Other formulas in Basics of Membrane Separation Processes category

Go Resistance to flow in Membranes

R m = \frac{ΔP m}{μ \cdot J wM}

Go Liquid Viscosity based on Membrane Resistance

μ = \frac{ΔP m}{R m \cdot J wM}

How to Evaluate Hagen Poiseuille Based Flux for Membrane Separation?

Hagen Poiseuille Based Flux for Membrane Separation evaluator uses Flux through Membrane = (Membrane Porosity*Pore Diameter^2*Applied Pressure Driving Force)/(32*Liquid Viscosity*Tortuosity*Membrane Thickness) to evaluate the Flux through Membrane, Hagen Poiseuille Based Flux for Membrane Separation is defined as the amount of permeate collected per unit area per unit time. Flux through Membrane is denoted by J_wM symbol.

How to evaluate Hagen Poiseuille Based Flux for Membrane Separation using this online evaluator? To use this online evaluator for Hagen Poiseuille Based Flux for Membrane Separation, enter Membrane Porosity (ε), Pore Diameter (d), Applied Pressure Driving Force (ΔP_m), Liquid Viscosity (μ), Tortuosity (Τ) & Membrane Thickness (l_mt) and hit the calculate button.

FAQs on Hagen Poiseuille Based Flux for Membrane Separation

What is the formula to find Hagen Poiseuille Based Flux for Membrane Separation?

The formula of Hagen Poiseuille Based Flux for Membrane Separation is expressed as Flux through Membrane = (Membrane Porosity*Pore Diameter^2*Applied Pressure Driving Force)/(32*Liquid Viscosity*Tortuosity*Membrane Thickness). Here is an example- 0.017361 = (0.35*6.3245E-06^2*300000)/(32*0.0009*280*7.5E-05).

How to calculate Hagen Poiseuille Based Flux for Membrane Separation?

With Membrane Porosity (ε), Pore Diameter (d), Applied Pressure Driving Force (ΔP_m), Liquid Viscosity (μ), Tortuosity (Τ) & Membrane Thickness (l_mt) we can find Hagen Poiseuille Based Flux for Membrane Separation using the formula - Flux through Membrane = (Membrane Porosity*Pore Diameter^2*Applied Pressure Driving Force)/(32*Liquid Viscosity*Tortuosity*Membrane Thickness).

What are the other ways to Calculate Flux through Membrane?

Here are the different ways to Calculate Flux through Membrane-

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

Can the Hagen Poiseuille Based Flux for Membrane Separation be negative?

Yes, the Hagen Poiseuille Based Flux for Membrane Separation, measured in Membrane Flux can be negative.

Which unit is used to measure Hagen Poiseuille Based Flux for Membrane Separation?

Hagen Poiseuille Based Flux for Membrane Separation is usually measured using the Cubic Meter per Square Meter per Second[m³/(m²*s)] for Membrane Flux. are the few other units in which Hagen Poiseuille Based Flux for Membrane Separation can be measured.

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Hagen Poiseuille Based Flux for Membrane Separation Formula

​GoMembrane Flux Based on Resistance Formula

​GoMembrane Flux Based on Water Permeability Formula

Hagen Poiseuille Based Flux for Membrane Separation Example

Hagen Poiseuille Based Flux for Membrane Separation Solution

Hagen Poiseuille Based Flux for Membrane Separation Formula Elements

Other Formulas to find Flux through Membrane

Other formulas in Basics of Membrane Separation Processes category

How to Evaluate Hagen Poiseuille Based Flux for Membrane Separation?

FAQs on Hagen Poiseuille Based Flux for Membrane Separation

Variable Name

GoMembrane Flux Based on Resistance Formula

GoMembrane Flux Based on Water Permeability Formula