Membrane Flux Based on Water Permeability Calculator

✖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]			+10% -10%
✖Applied Pressure is the pressure that is applied on the object of interest.ⓘ Applied Pressure [P_A]			+10% -10%

✖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.ⓘ Membrane Flux Based on Water Permeability [J_wM]

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Formula

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Membrane Flux Based on Water Permeability

Formula

`"J"_{"wM"} = "L"_{"p"}*"P"_{"A"}`

Example

`"2.1E^-7m³/(m²*s)"="0.00000002337m³/(m²*s*Pa)"*"9Pa"`

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Membrane Flux Based on Water Permeability Solution

STEP 0: Pre-Calculation Summary

Formula Used

Flux through Membrane = Water Permeability Through Membrane*Applied Pressure
J_wM = L_p*P_A
This formula uses 3 Variables

Variables Used

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.
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.
Applied Pressure - (Measured in Pascal) - Applied Pressure is the pressure that is applied on the object of interest.

STEP 1: Convert Input(s) to Base Unit

Water Permeability Through Membrane: 2.337E-08 Cubic Meter per Square Meter per Second per Pascal --> 2.337E-08 Cubic Meter per Square Meter per Second per Pascal No Conversion Required
Applied Pressure: 9 Pascal --> 9 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

J_wM = L_p*P_A --> 2.337E-08*9

Evaluating ... ...

J_wM = 2.1033E-07

STEP 3: Convert Result to Output's Unit

2.1033E-07 Cubic Meter per Square Meter per Second --> No Conversion Required

FINAL ANSWER

2.1033E-07 ≈ 2.1E-7 Cubic Meter per Square Meter per Second <-- Flux through Membrane

(Calculation completed in 00.004 seconds)

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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

Membrane Flux Based on Water Permeability Formula

Flux through Membrane = Water Permeability Through Membrane*Applied Pressure
J_wM = L_p*P_A

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 is the Membrane Permeability Affected by Temperature?

Higher temperatures: Increase fluidity by making the phospholipid molecules in the membrane move around more. This creates wider gaps between the molecules, making the membrane more permeable to small, uncharged molecules.

Lower temperatures: Decrease fluidity by causing the phospholipids to pack tightly together, reducing gaps and making the membrane less permeable.

How to Calculate Membrane Flux Based on Water Permeability?

Membrane Flux Based on Water Permeability calculator uses Flux through Membrane = Water Permeability Through Membrane*Applied Pressure to calculate the Flux through Membrane, Membrane Flux Based on Water Permeability refers to the rate at which water molecules pass through a semipermeable membrane, driven by the membrane's intrinsic capacity to facilitate water transport and the presence of a driving force. Flux through Membrane is denoted by J_wM symbol.

How to calculate Membrane Flux Based on Water Permeability using this online calculator? To use this online calculator for Membrane Flux Based on Water Permeability, enter Water Permeability Through Membrane (L_p) & Applied Pressure (P_A) and hit the calculate button. Here is how the Membrane Flux Based on Water Permeability calculation can be explained with given input values -> 2.1E-7 = 2.337E-08*9.

FAQ

What is Membrane Flux Based on Water Permeability?

Membrane Flux Based on Water Permeability refers to the rate at which water molecules pass through a semipermeable membrane, driven by the membrane's intrinsic capacity to facilitate water transport and the presence of a driving force and is represented as J_wM = L_p*P_A or Flux through Membrane = Water Permeability Through Membrane*Applied Pressure. 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 & Applied Pressure is the pressure that is applied on the object of interest.

How to calculate Membrane Flux Based on Water Permeability?

Membrane Flux Based on Water Permeability refers to the rate at which water molecules pass through a semipermeable membrane, driven by the membrane's intrinsic capacity to facilitate water transport and the presence of a driving force is calculated using Flux through Membrane = Water Permeability Through Membrane*Applied Pressure. To calculate Membrane Flux Based on Water Permeability, you need Water Permeability Through Membrane (L_p) & Applied Pressure (P_A). With our tool, you need to enter the respective value for Water Permeability Through Membrane & Applied Pressure 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 Flux through Membrane?

In this formula, Flux through Membrane uses Water Permeability Through Membrane & Applied Pressure. We can use 2 other way(s) to calculate the same, which is/are as follows -

Flux through Membrane = (Membrane Porosity*Pore Diameter^2*Applied Pressure Driving Force)/(32*Liquid Viscosity*Tortuosity*Membrane Thickness)
Flux through Membrane = Applied Pressure Driving Force/(Membrane Flow Resistance of Unit Area*Liquid Viscosity)

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