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Tortuosity Factor of Pores Formula

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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. Check FAQs

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

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

Tortuosity Factor of Pores Example

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Here is how the Tortuosity Factor of Pores equation looks like with Values.

Here is how the Tortuosity Factor of Pores equation looks like with Units.

Here is how the Tortuosity Factor of Pores equation looks like.

279.9969 = \frac{0.35 \cdot {6.3245}^{2} \cdot 300000}{32 \cdot 0.0009 \cdot 0.0069 \cdot 75}

279.9969 = \frac{0.35 \cdot {6.3245μm}^{2} \cdot 300000Pa}{32 \cdot 0.0009Kg/ms \cdot 0.0069m³/(m²*s) \cdot 75μm}

279.9969 = \frac{0.35 \cdot {6.3245}^{2} \cdot 300000}{32 \cdot 0.0009 \cdot 0.0069 \cdot 75}

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Tortuosity Factor of Pores Solution

Follow our step by step solution on how to calculate Tortuosity Factor of Pores?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

Τ = \frac{0.35 \cdot {6.3E-6m}^{2} \cdot 300000Pa}{32 \cdot 0.0009Pa*s \cdot 0.0069m³/(m²*s) \cdot 7.5E-5m}

Next Step Prepare to Evaluate

∴

Τ = \frac{0.35 \cdot {6.3E-6}^{2} \cdot 300000}{32 \cdot 0.0009 \cdot 0.0069 \cdot 7.5E-5}

Next Step Evaluate

∴

Τ = 279.99689373012

LAST Step Rounding Answer

∴

Τ = 279.9969

Tortuosity Factor of Pores Formula Elements

Variables

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 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

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 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 in Basics of Membrane Separation Processes category

Go Hagen Poiseuille Based Flux for Membrane Separation

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

Go Resistance to flow in Membranes

R m = \frac{ΔP m}{μ \cdot J wM}

How to Evaluate Tortuosity Factor of Pores?

Tortuosity Factor of Pores evaluator uses Tortuosity = (Membrane Porosity*Pore Diameter^2*Applied Pressure Driving Force)/(32*Liquid Viscosity*Flux through Membrane*Membrane Thickness) to evaluate the Tortuosity, The Tortuosity Factor of Pores formula is defined as the ratio of the actual flow path length to the straight distance between the ends of the flow path. Tortuosity is denoted by Τ symbol.

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

FAQs on Tortuosity Factor of Pores

What is the formula to find Tortuosity Factor of Pores?

The formula of Tortuosity Factor of Pores is expressed as Tortuosity = (Membrane Porosity*Pore Diameter^2*Applied Pressure Driving Force)/(32*Liquid Viscosity*Flux through Membrane*Membrane Thickness). Here is an example- 700.0045 = (0.35*6.3245E-06^2*300000)/(32*0.0009*0.0069444*7.5E-05).

How to calculate Tortuosity Factor of Pores?

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

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Tortuosity Factor of Pores Formula

Tortuosity Factor of Pores Example

Tortuosity Factor of Pores Solution

Tortuosity Factor of Pores Formula Elements

Other formulas in Basics of Membrane Separation Processes category

How to Evaluate Tortuosity Factor of Pores?

FAQs on Tortuosity Factor of Pores

Variable Name