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Membrane Thickness Formula

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

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

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

Membrane Thickness Example

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

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

Here is how the Membrane Thickness equation looks like.

74.9992 = \frac{{6.3245}^{2} \cdot 0.35 \cdot 300000}{32 \cdot 0.0009 \cdot 0.0069 \cdot 280}

74.9992μm = \frac{{6.3245μm}^{2} \cdot 0.35 \cdot 300000Pa}{32 \cdot 0.0009Kg/ms \cdot 0.0069m³/(m²*s) \cdot 280}

74.9992 = \frac{{6.3245}^{2} \cdot 0.35 \cdot 300000}{32 \cdot 0.0009 \cdot 0.0069 \cdot 280}

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Membrane Thickness Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

l mt = \frac{{6.3E-6m}^{2} \cdot 0.35 \cdot 300000Pa}{32 \cdot 0.0009Pa*s \cdot 0.0069m³/(m²*s) \cdot 280}

Next Step Prepare to Evaluate

∴

l mt = \frac{{6.3E-6}^{2} \cdot 0.35 \cdot 300000}{32 \cdot 0.0009 \cdot 0.0069 \cdot 280}

Next Step Evaluate

∴

l mt = 7.4999167963425E-05m

Next Step Convert to Output's Unit

∴

l mt = 74.999167963425μm

LAST Step Rounding Answer

∴

l mt = 74.9992μm

Membrane Thickness Formula Elements

Variables

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

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

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

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 Thickness?

Membrane Thickness evaluator uses Membrane Thickness = (Pore Diameter^2*Membrane Porosity*Applied Pressure Driving Force)/(32*Liquid Viscosity*Flux through Membrane*Tortuosity) to evaluate the Membrane Thickness, The Membrane Thickness is defined as the distance between the two layers of lipid molecules that make up the bilayer. Membrane Thickness is denoted by l_mt symbol.

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

FAQs on Membrane Thickness

What is the formula to find Membrane Thickness?

The formula of Membrane Thickness is expressed as Membrane Thickness = (Pore Diameter^2*Membrane Porosity*Applied Pressure Driving Force)/(32*Liquid Viscosity*Flux through Membrane*Tortuosity). Here is an example- 1.9E+8 = (6.3245E-06^2*0.35*300000)/(32*0.0009*0.0069444*280).

How to calculate Membrane Thickness?

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

Can the Membrane Thickness be negative?

Yes, the Membrane Thickness, measured in Length can be negative.

Which unit is used to measure Membrane Thickness?

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

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Membrane Thickness Formula

Membrane Thickness Example

Membrane Thickness Solution

Membrane Thickness Formula Elements

Other formulas in Membrane Characteristics category

How to Evaluate Membrane Thickness?

FAQs on Membrane Thickness

Variable Name