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Membrane Pore Diameter Formula

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

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

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

Membrane Pore Diameter Example

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Here is how the Membrane Pore Diameter equation looks like with Values.

Here is how the Membrane Pore Diameter equation looks like with Units.

Here is how the Membrane Pore Diameter equation looks like.

6.3245 = {(\frac{32 \cdot 0.0009 \cdot 0.0069 \cdot 280 \cdot 75}{0.35 \cdot 300000})}^{0.5}

6.3245μm = {(\frac{32 \cdot 0.0009Kg/ms \cdot 0.0069m³/(m²*s) \cdot 280 \cdot 75μm}{0.35 \cdot 300000Pa})}^{0.5}

6.3245 = {(\frac{32 \cdot 0.0009 \cdot 0.0069 \cdot 280 \cdot 75}{0.35 \cdot 300000})}^{0.5}

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Membrane Pore Diameter Solution

Follow our step by step solution on how to calculate Membrane Pore Diameter?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d = {(\frac{32 \cdot 0.0009Kg/ms \cdot 0.0069m³/(m²*s) \cdot 280 \cdot 75μm}{0.35 \cdot 300000Pa})}^{0.5}

Next Step Convert Units

∴

d = {(\frac{32 \cdot 0.0009Pa*s \cdot 0.0069m³/(m²*s) \cdot 280 \cdot 7.5E-5m}{0.35 \cdot 300000Pa})}^{0.5}

Next Step Prepare to Evaluate

∴

d = {(\frac{32 \cdot 0.0009 \cdot 0.0069 \cdot 280 \cdot 7.5E-5}{0.35 \cdot 300000})}^{0.5}

Next Step Evaluate

∴

d = 6.32453508172735E-06m

Next Step Convert to Output's Unit

∴

d = 6.32453508172735μm

LAST Step Rounding Answer

∴

d = 6.3245μm

Membrane Pore Diameter Formula Elements

Variables

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

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

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

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 Porosity

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

How to Evaluate Membrane Pore Diameter?

Membrane Pore Diameter evaluator uses Pore Diameter = ((32*Liquid Viscosity*Flux through Membrane*Tortuosity*Membrane Thickness)/(Membrane Porosity*Applied Pressure Driving Force))^0.5 to evaluate the Pore Diameter, Membrane Pore Diameter formula is defined as property of membranes which determines the size of the molecules that can pass through the membrane. Pore Diameter is denoted by d symbol.

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

FAQs on Membrane Pore Diameter

What is the formula to find Membrane Pore Diameter?

The formula of Membrane Pore Diameter is expressed as Pore Diameter = ((32*Liquid Viscosity*Flux through Membrane*Tortuosity*Membrane Thickness)/(Membrane Porosity*Applied Pressure Driving Force))^0.5. Here is an example- 6.3E+6 = ((32*0.0009*0.0069444*280*7.5E-05)/(0.35*300000))^0.5.

How to calculate Membrane Pore Diameter?

With Liquid Viscosity (μ), Flux through Membrane (J_wM), Tortuosity (Τ), Membrane Thickness (l_mt), Membrane Porosity (ε) & Applied Pressure Driving Force (ΔP_m) we can find Membrane Pore Diameter using the formula - Pore Diameter = ((32*Liquid Viscosity*Flux through Membrane*Tortuosity*Membrane Thickness)/(Membrane Porosity*Applied Pressure Driving Force))^0.5.

Can the Membrane Pore Diameter be negative?

Yes, the Membrane Pore Diameter, measured in Length can be negative.

Which unit is used to measure Membrane Pore Diameter?

Membrane Pore Diameter is usually measured using the Micrometer[μm] for Length. Meter[μm], Millimeter[μm], Kilometer[μm] are the few other units in which Membrane Pore Diameter can be measured.

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Membrane Pore Diameter Formula

Membrane Pore Diameter Example

Membrane Pore Diameter Solution

Membrane Pore Diameter Formula Elements

Other formulas in Membrane Characteristics category

How to Evaluate Membrane Pore Diameter?

FAQs on Membrane Pore Diameter

Variable Name