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Resistance to flow in Membranes Formula

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Membrane flow resistance of unit area is defined as the measure of the resistance that a membrane presents to the flow of a substance through it, normalized by the area of the membrane. Check FAQs

R m = \frac{ΔP m}{μ \cdot J wM}

R_m - Membrane Flow Resistance of Unit Area?ΔP_m - Applied Pressure Driving Force?μ - Liquid Viscosity?J_wM - Flux through Membrane?

Resistance to flow in Membranes Example

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Here is how the Resistance to flow in Membranes equation looks like with Values.

Here is how the Resistance to flow in Membranes equation looks like with Units.

Here is how the Resistance to flow in Membranes equation looks like.

4.8E+10 = \frac{300000}{0.0009 \cdot 0.0069}

4.8E+10m⁻¹ = \frac{300000Pa}{0.0009Kg/ms \cdot 0.0069m³/(m²*s)}

4.8E+10 = \frac{300000}{0.0009 \cdot 0.0069}

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Resistance to flow in Membranes Solution

Follow our step by step solution on how to calculate Resistance to flow in Membranes?

FIRST Step Consider the formula

R m = \frac{ΔP m}{μ \cdot J wM}

Next Step Substitute values of Variables

∴

R m = \frac{300000Pa}{0.0009Kg/ms \cdot 0.0069m³/(m²*s)}

Next Step Convert Units

∴

R m = \frac{300000Pa}{0.0009Pa*s \cdot 0.0069m³/(m²*s)}

Next Step Prepare to Evaluate

∴

R m = \frac{300000}{0.0009 \cdot 0.0069}

Next Step Evaluate

∴

R m = 48000307201.9661m⁻¹

LAST Step Rounding Answer

∴

R m = 4.8E+10m⁻¹

Resistance to flow in Membranes Formula Elements

Variables

Membrane Flow Resistance of Unit Area

Membrane flow resistance of unit area is defined as the measure of the resistance that a membrane presents to the flow of a substance through it, normalized by the area of the membrane.

Symbol: R_m

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Membrane Flow Resistance of Unit Area

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

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 Liquid Viscosity based on Membrane Resistance

μ = \frac{ΔP m}{R m \cdot J wM}

Go Membrane Flux Based on Resistance

J wM = \frac{ΔP m}{R m \cdot μ}

Go Water Permeability through Membrane

L p = \frac{J wM}{ΔP m}

How to Evaluate Resistance to flow in Membranes?

Resistance to flow in Membranes evaluator uses Membrane Flow Resistance of Unit Area = Applied Pressure Driving Force/(Liquid Viscosity*Flux through Membrane) to evaluate the Membrane Flow Resistance of Unit Area, The Resistance to flow in Membranes formula is defined as the measure of the resistance that a membrane presents to the flow of a substance through it. Membrane Flow Resistance of Unit Area is denoted by R_m symbol.

How to evaluate Resistance to flow in Membranes using this online evaluator? To use this online evaluator for Resistance to flow in Membranes, enter Applied Pressure Driving Force (ΔP_m), Liquid Viscosity (μ) & Flux through Membrane (J_wM) and hit the calculate button.

FAQs on Resistance to flow in Membranes

What is the formula to find Resistance to flow in Membranes?

The formula of Resistance to flow in Membranes is expressed as Membrane Flow Resistance of Unit Area = Applied Pressure Driving Force/(Liquid Viscosity*Flux through Membrane). Here is an example- 4.8E+10 = 300000/(0.0009*0.0069444).

How to calculate Resistance to flow in Membranes?

With Applied Pressure Driving Force (ΔP_m), Liquid Viscosity (μ) & Flux through Membrane (J_wM) we can find Resistance to flow in Membranes using the formula - Membrane Flow Resistance of Unit Area = Applied Pressure Driving Force/(Liquid Viscosity*Flux through Membrane).

Can the Resistance to flow in Membranes be negative?

Yes, the Resistance to flow in Membranes, measured in Reciprocal Length can be negative.

Which unit is used to measure Resistance to flow in Membranes?

Resistance to flow in Membranes is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Resistance to flow in Membranes can be measured.

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Resistance to flow in Membranes Formula

Resistance to flow in Membranes Example

Resistance to flow in Membranes Solution

Resistance to flow in Membranes Formula Elements

Other formulas in Basics of Membrane Separation Processes category

How to Evaluate Resistance to flow in Membranes?

FAQs on Resistance to flow in Membranes

Variable Name