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Membrane Pressure Drop Formula

GoPressure Driving Force in Membrane Formula

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

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

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

Membrane Pressure Drop Example

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Here is how the Membrane Pressure Drop equation looks like with Values.

Here is how the Membrane Pressure Drop equation looks like with Units.

Here is how the Membrane Pressure Drop equation looks like.

300003.3282 = \frac{280 \cdot 32 \cdot 0.0009 \cdot 0.0069 \cdot 75}{0.35 \cdot ({6.3245}^{2})}

300003.3282Pa = \frac{280 \cdot 32 \cdot 0.0009Kg/ms \cdot 0.0069m³/(m²*s) \cdot 75μm}{0.35 \cdot ({6.3245μm}^{2})}

300003.3282 = \frac{280 \cdot 32 \cdot 0.0009 \cdot 0.0069 \cdot 75}{0.35 \cdot ({6.3245}^{2})}

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Membrane Pressure Drop Solution

Follow our step by step solution on how to calculate Membrane Pressure Drop?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

ΔP m = \frac{280 \cdot 32 \cdot 0.0009Pa*s \cdot 0.0069m³/(m²*s) \cdot 7.5E-5m}{0.35 \cdot ({6.3E-6m}^{2})}

Next Step Prepare to Evaluate

∴

ΔP m = \frac{280 \cdot 32 \cdot 0.0009 \cdot 0.0069 \cdot 7.5E-5}{0.35 \cdot ({6.3E-6}^{2})}

Next Step Evaluate

∴

ΔP m = 300003.328183222Pa

LAST Step Rounding Answer

∴

ΔP m = 300003.3282Pa

Membrane Pressure Drop Formula Elements

Variables

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

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

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

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

Other Formulas to find Applied Pressure Driving Force

Go Pressure Driving Force in Membrane

ΔP m = R m \cdot μ \cdot J wM

Other formulas in Membrane Characteristics category

Go Membrane Pore Diameter

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

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 Pressure Drop?

Membrane Pressure Drop evaluator uses Applied Pressure Driving Force = (Tortuosity*32*Liquid Viscosity*Flux through Membrane*Membrane Thickness)/(Membrane Porosity*(Pore Diameter^2)) to evaluate the Applied Pressure Driving Force, Membrane pressure drop is defined as the difference in pressure between the feed and permeate sides of a membrane in a membrane separation process. Applied Pressure Driving Force is denoted by ΔP_m symbol.

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

FAQs on Membrane Pressure Drop

What is the formula to find Membrane Pressure Drop?

The formula of Membrane Pressure Drop is expressed as Applied Pressure Driving Force = (Tortuosity*32*Liquid Viscosity*Flux through Membrane*Membrane Thickness)/(Membrane Porosity*(Pore Diameter^2)). Here is an example- 119999.2 = (280*32*0.0009*0.0069444*7.5E-05)/(0.35*(6.3245E-06^2)).

How to calculate Membrane Pressure Drop?

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

What are the other ways to Calculate Applied Pressure Driving Force?

Here are the different ways to Calculate Applied Pressure Driving Force-

Applied Pressure Driving Force=Membrane Flow Resistance of Unit Area*Liquid Viscosity*Flux through Membrane

Can the Membrane Pressure Drop be negative?

Yes, the Membrane Pressure Drop, measured in Pressure can be negative.

Which unit is used to measure Membrane Pressure Drop?

Membrane Pressure Drop is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Membrane Pressure Drop can be measured.

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Membrane Pressure Drop Formula

​GoPressure Driving Force in Membrane Formula

Membrane Pressure Drop Example

Membrane Pressure Drop Solution

Membrane Pressure Drop Formula Elements

Other Formulas to find Applied Pressure Driving Force

Other formulas in Membrane Characteristics category

How to Evaluate Membrane Pressure Drop?

FAQs on Membrane Pressure Drop

Variable Name

GoPressure Driving Force in Membrane Formula