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Membrane Porosity Formula

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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. Check FAQs

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

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

Membrane Porosity Example

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Here is how the Membrane Porosity equation looks like with Values.

Here is how the Membrane Porosity equation looks like with Units.

Here is how the Membrane Porosity equation looks like.

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

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

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

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Membrane Porosity Solution

Follow our step by step solution on how to calculate Membrane Porosity?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

ε = \frac{32 \cdot 0.0009Pa*s \cdot 0.0069m³/(m²*s) \cdot 280 \cdot 7.5E-5m}{{6.3E-6m}^{2} \cdot 300000Pa}

Next Step Prepare to Evaluate

∴

ε = \frac{32 \cdot 0.0009 \cdot 0.0069 \cdot 280 \cdot 7.5E-5}{{6.3E-6}^{2} \cdot 300000}

Next Step Evaluate

∴

ε = 0.350003882880426

LAST Step Rounding Answer

∴

ε = 0.35

Membrane Porosity Formula Elements

Variables

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

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

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

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

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

Other formulas in Membrane Characteristics category

Go Pressure Driving Force in Membrane

ΔP m = R m \cdot μ \cdot J wM

Go Membrane Pore Diameter

d = {(\frac{32 \cdot μ \cdot J wM \cdot Τ \cdot l mt}{ε \cdot ΔP m})}^{0.5}

How to Evaluate Membrane Porosity?

Membrane Porosity evaluator uses Membrane Porosity = (32*Liquid Viscosity*Flux through Membrane*Tortuosity*Membrane Thickness)/(Pore Diameter^2*Applied Pressure Driving Force) to evaluate the Membrane Porosity, Membrane porosity is defined as the void volume fraction of the membrane.It is defined as the volume of the pores divided by the total volume of the membrane. Membrane Porosity is denoted by ε symbol.

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

FAQs on Membrane Porosity

What is the formula to find Membrane Porosity?

The formula of Membrane Porosity is expressed as Membrane Porosity = (32*Liquid Viscosity*Flux through Membrane*Tortuosity*Membrane Thickness)/(Pore Diameter^2*Applied Pressure Driving Force). Here is an example- 0.139999 = (32*0.0009*0.0069444*280*7.5E-05)/(6.3245E-06^2*300000).

How to calculate Membrane Porosity?

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

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Membrane Porosity Formula

Membrane Porosity Example

Membrane Porosity Solution

Membrane Porosity Formula Elements

Other formulas in Membrane Characteristics category

How to Evaluate Membrane Porosity?

FAQs on Membrane Porosity

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