Water Permeability through Membrane Calculator

✖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.ⓘ Flux through Membrane [J_wM]			+10% -10%
✖Applied Pressure Driving Force is defined as the force or pressure that is intentionally exerted or applied to induce or facilitate process.ⓘ Applied Pressure Driving Force [ΔP_m]			+10% -10%

✖Water permeability through membrane is the ability of a material to allow water to pass through it. It is a measure of how easily water can flow through a material's pores.ⓘ Water Permeability through Membrane [L_p]

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Formula

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Water Permeability through Membrane

Formula

`"L"_{"p"} = "J"_{"wM"}/"ΔP"_{"m"}`

Example

`"2.3E^-8m³/(m²*s*Pa)"="0.0069444m³/(m²*s)"/"300000Pa"`

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Water Permeability through Membrane Solution

STEP 0: Pre-Calculation Summary

Formula Used

Water Permeability Through Membrane = Flux through Membrane/Applied Pressure Driving Force
L_p = J_wM/ΔP_m
This formula uses 3 Variables

Variables Used

Water Permeability Through Membrane - (Measured in Cubic Meter per Square Meter per Second per Pascal) - Water permeability through membrane is the ability of a material to allow water to pass through it. It is a measure of how easily water can flow through a material's pores.
Flux through Membrane - (Measured in Cubic Meter per Square Meter per Second) - 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.
Applied Pressure Driving Force - (Measured in Pascal) - Applied Pressure Driving Force is defined as the force or pressure that is intentionally exerted or applied to induce or facilitate process.

STEP 1: Convert Input(s) to Base Unit

Flux through Membrane: 0.0069444 Cubic Meter per Square Meter per Second --> 0.0069444 Cubic Meter per Square Meter per Second No Conversion Required
Applied Pressure Driving Force: 300000 Pascal --> 300000 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_p = J_wM/ΔP_m --> 0.0069444/300000

Evaluating ... ...

L_p = 2.3148E-08

STEP 3: Convert Result to Output's Unit

2.3148E-08 Cubic Meter per Square Meter per Second per Pascal --> No Conversion Required

FINAL ANSWER

2.3148E-08 ≈ 2.3E-8 Cubic Meter per Square Meter per Second per Pascal <-- Water Permeability Through Membrane

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Mass Transfer Operations » Membrane Separation » Basics of Membrane Separation Processes » Water Permeability through Membrane

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Created by Harsh Kadam

Shri Guru Gobind Singhji Institute of Engineering and Technology (SGGS), Nanded

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< 16 Basics of Membrane Separation Processes Calculators

Concentration of Mass at Membrane Surface

Go Solute Concentration at Membrane Surface = exp(Water Flux/Mass Transfer Coefficient at Membrane Surface)/((Solute Rejection+(1-Solute Rejection)*exp(Water Flux/Mass Transfer Coefficient at Membrane Surface)))*Bulk Concentration

Partial Molar Volume of Water based on Solution Diffusion Model

Go Partial Molar Volume = (Mass Water Flux*[R]*Temperature*Membrane Layer Thickness)/(Membrane Water Diffusivity*Membrane Water Concentration*(Membrane Pressure Drop-Osmotic Pressure))

Water Permeability based on Initial flux

Go Water Permeability Through Membrane = Volumetric Water Flux Through Membrane/(Applied Pressure Driving Force*(1-(([R]*Temperature*Molecular Weight)/(Initial Volume*Applied Pressure Driving Force))))

Time of Dialysis using Hollow Fiber Haemodialyser

Go Time of Dialysis = (Volume of blood/Volumetric Rate of Blood)*ln(Initial Concentration In Blood/Final Concentration In Blood)*((1-(e^-No of Transfer Units))^-1)

Hagen Poiseuille Based Flux for Membrane Separation

Go Flux through Membrane = (Membrane Porosity*Pore Diameter^2*Applied Pressure Driving Force)/(32*Liquid Viscosity*Tortuosity*Membrane Thickness)

Liquid Viscosity Based On Hagen Poiseuille Equation

Go Liquid Viscosity = (Pore Diameter^2*Membrane Porosity*Applied Pressure Driving Force)/(32*Flux through Membrane*Tortuosity*Membrane Thickness)

Tortuosity Factor of Pores

Go Tortuosity = (Membrane Porosity*Pore Diameter^2*Applied Pressure Driving Force)/(32*Liquid Viscosity*Flux through Membrane*Membrane Thickness)

Pressure Difference across Pore based on Poiseuille's Law

Go Pressure Difference Across Pore = (Liquid Flow through Pore*128*Viscosity of Liquid*Length of Pore)/(pi*(Membrane Pore Diameter)^(4))

Liquid Flow through Pore Based On Poiseuilles Law

Go Liquid Flow through Pore = ((pi*(Membrane Pore Diameter)^4)/(128*Viscosity of Liquid*Length of Pore))*Pressure Difference Across Pore

Liquid Viscosity based on Poiseuille's Law

Go Viscosity of Liquid = (Pressure Difference Across Pore*pi*(Membrane Pore Diameter)^(4))/(Liquid Flow through Pore*128*Length of Pore)

Liquid Viscosity based on Membrane Resistance

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

Membrane Flux Based on Resistance

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

Resistance to flow in Membranes

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

Applied Pressure Driving Force Based on Permeability of Membrane

Go Applied Pressure Driving Force = Flux through Membrane/Water Permeability Through Membrane

Water Permeability through Membrane

Go Water Permeability Through Membrane = Flux through Membrane/Applied Pressure Driving Force

Membrane Flux Based on Water Permeability

Go Flux through Membrane = Water Permeability Through Membrane*Applied Pressure

Water Permeability through Membrane Formula

Water Permeability Through Membrane = Flux through Membrane/Applied Pressure Driving Force
L_p = J_wM/ΔP_m

What is permeability?

Permeability is a fundamental property of materials and substances that describes their ability to allow the passage or flow of another substance, typically a fluid or gas, through them.

How to Calculate Water Permeability through Membrane?

Water Permeability through Membrane calculator uses Water Permeability Through Membrane = Flux through Membrane/Applied Pressure Driving Force to calculate the Water Permeability Through Membrane, The Water Permeability through Membrane formula is defined as the property of a substance, material, or membrane that determines how easily water molecules can pass through it under the influence of a pressure or concentration gradient. Water Permeability Through Membrane is denoted by L_p symbol.

How to calculate Water Permeability through Membrane using this online calculator? To use this online calculator for Water Permeability through Membrane, enter Flux through Membrane (J_wM) & Applied Pressure Driving Force (ΔP_m) and hit the calculate button. Here is how the Water Permeability through Membrane calculation can be explained with given input values -> 2.3E-8 = 0.0069444/300000.

FAQ

What is Water Permeability through Membrane?

The Water Permeability through Membrane formula is defined as the property of a substance, material, or membrane that determines how easily water molecules can pass through it under the influence of a pressure or concentration gradient and is represented as L_p = J_wM/ΔP_m or Water Permeability Through Membrane = Flux through Membrane/Applied Pressure Driving Force. 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 & Applied Pressure Driving Force is defined as the force or pressure that is intentionally exerted or applied to induce or facilitate process.

How to calculate Water Permeability through Membrane?

The Water Permeability through Membrane formula is defined as the property of a substance, material, or membrane that determines how easily water molecules can pass through it under the influence of a pressure or concentration gradient is calculated using Water Permeability Through Membrane = Flux through Membrane/Applied Pressure Driving Force. To calculate Water Permeability through Membrane, you need Flux through Membrane (J_wM) & Applied Pressure Driving Force (ΔP_m). With our tool, you need to enter the respective value for Flux through Membrane & Applied Pressure Driving Force and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Water Permeability Through Membrane?

In this formula, Water Permeability Through Membrane uses Flux through Membrane & Applied Pressure Driving Force. We can use 1 other way(s) to calculate the same, which is/are as follows -

Water Permeability Through Membrane = Volumetric Water Flux Through Membrane/(Applied Pressure Driving Force*(1-(([R]*Temperature*Molecular Weight)/(Initial Volume*Applied Pressure Driving Force))))

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