Water Permeability based on Initial flux Calculator

✖Volumetric Water flux through membrane is the rate at which water flows through a given area of a material per unit of time.ⓘ Volumetric Water Flux Through Membrane [J_wv]			+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%
✖Temperature is a physical quantity that expresses quantitatively the attribute of hotness or coldness.ⓘ Temperature [T]			+10% -10%
✖Molecular weight is the mass of a molecule, relative to the mass of a carbon-12 atom. It is also known as molecular mass.ⓘ Molecular Weight [n₀]			+10% -10%
✖Initial volume is the volume of a substance at a specific time or point in time. It is often used in fluid mechanics to describe the volume of a fluid at the beginning of a process or experiment.ⓘ Initial Volume [V₀]			+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 based on Initial flux [L_p]

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Formula

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Water Permeability based on Initial flux

Formula

`"L"_{"p"} = "J"_{"wv"}/("ΔP"_{"m"}*(1-(("[R]"*"T"*"n"_{"0"})/("V"_{"0"}*"ΔP"_{"m"}))))`

Example

`"2.3E^-7m³/(m²*s*Pa)"="0.00000057m³/(m²*s)"/("300000Pa"*(1-(("[R]"*"298K"*"0.01802kg/mol")/("0.000148829m³"*"300000Pa"))))`

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Water Permeability based on Initial flux Solution

STEP 0: Pre-Calculation Summary

Formula Used

Water Permeability Through Membrane = Volumetric Water Flux Through Membrane/(Applied Pressure Driving Force*(1-(([R]*Temperature*Molecular Weight)/(Initial Volume*Applied Pressure Driving Force))))
L_p = J_wv/(ΔP_m*(1-(([R]*T*n₀)/(V₀*ΔP_m))))
This formula uses 1 Constants, 6 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

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.
Volumetric Water Flux Through Membrane - (Measured in Cubic Meter per Square Meter per Second) - Volumetric Water flux through membrane is the rate at which water flows through a given area of a material per unit of time.
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.
Temperature - (Measured in Kelvin) - Temperature is a physical quantity that expresses quantitatively the attribute of hotness or coldness.
Molecular Weight - (Measured in Kilogram Per Mole) - Molecular weight is the mass of a molecule, relative to the mass of a carbon-12 atom. It is also known as molecular mass.
Initial Volume - (Measured in Cubic Meter) - Initial volume is the volume of a substance at a specific time or point in time. It is often used in fluid mechanics to describe the volume of a fluid at the beginning of a process or experiment.

STEP 1: Convert Input(s) to Base Unit

Volumetric Water Flux Through Membrane: 5.7E-07 Cubic Meter per Square Meter per Second --> 5.7E-07 Cubic Meter per Square Meter per Second No Conversion Required
Applied Pressure Driving Force: 300000 Pascal --> 300000 Pascal No Conversion Required
Temperature: 298 Kelvin --> 298 Kelvin No Conversion Required
Molecular Weight: 0.01802 Kilogram Per Mole --> 0.01802 Kilogram Per Mole No Conversion Required
Initial Volume: 0.000148829 Cubic Meter --> 0.000148829 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_p = J_wv/(ΔP_m*(1-(([R]*T*n₀)/(V₀*ΔP_m)))) --> 5.7E-07/(300000*(1-(([R]*298*0.01802)/(0.000148829*300000))))

Evaluating ... ...

L_p = 2.30323510248994E-07

STEP 3: Convert Result to Output's Unit

2.30323510248994E-07 Cubic Meter per Square Meter per Second per Pascal --> No Conversion Required

FINAL ANSWER

2.30323510248994E-07 ≈ 2.3E-7 Cubic Meter per Square Meter per Second per Pascal <-- Water Permeability Through Membrane

(Calculation completed in 00.004 seconds)

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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 based on Initial flux Formula

On What Factors Does the Water Permeability Depended?

Water permeability depends on a number of factors, including
Pore size and distribution
Tortuosity of the pores
Temperature
Viscosity
pH
Pressure gradient

How to Calculate Water Permeability based on Initial flux?

Water Permeability based on Initial flux calculator uses Water Permeability Through Membrane = Volumetric Water Flux Through Membrane/(Applied Pressure Driving Force*(1-(([R]*Temperature*Molecular Weight)/(Initial Volume*Applied Pressure Driving Force)))) to calculate the Water Permeability Through Membrane, Water permeability based on Initial flux is defined as the measure of how easily water can flow through a porous material based on the Initial flux of the Membrane. Water Permeability Through Membrane is denoted by L_p symbol.

How to calculate Water Permeability based on Initial flux using this online calculator? To use this online calculator for Water Permeability based on Initial flux, enter Volumetric Water Flux Through Membrane (J_wv), Applied Pressure Driving Force (ΔP_m), Temperature (T), Molecular Weight (n₀) & Initial Volume (V₀) and hit the calculate button. Here is how the Water Permeability based on Initial flux calculation can be explained with given input values -> 1.9E-7 = 5.7E-07/(300000*(1-(([R]*298*0.01802)/(0.000148829*300000)))).

FAQ

What is Water Permeability based on Initial flux?

Water permeability based on Initial flux is defined as the measure of how easily water can flow through a porous material based on the Initial flux of the Membrane and is represented as L_p = J_wv/(ΔP_m*(1-(([R]*T*n₀)/(V₀*ΔP_m)))) or Water Permeability Through Membrane = Volumetric Water Flux Through Membrane/(Applied Pressure Driving Force*(1-(([R]*Temperature*Molecular Weight)/(Initial Volume*Applied Pressure Driving Force)))). Volumetric Water flux through membrane is the rate at which water flows through a given area of a material per unit of time, Applied Pressure Driving Force is defined as the force or pressure that is intentionally exerted or applied to induce or facilitate process, Temperature is a physical quantity that expresses quantitatively the attribute of hotness or coldness, Molecular weight is the mass of a molecule, relative to the mass of a carbon-12 atom. It is also known as molecular mass & Initial volume is the volume of a substance at a specific time or point in time. It is often used in fluid mechanics to describe the volume of a fluid at the beginning of a process or experiment.

How to calculate Water Permeability based on Initial flux?

Water permeability based on Initial flux is defined as the measure of how easily water can flow through a porous material based on the Initial flux of the Membrane is calculated using Water Permeability Through Membrane = Volumetric Water Flux Through Membrane/(Applied Pressure Driving Force*(1-(([R]*Temperature*Molecular Weight)/(Initial Volume*Applied Pressure Driving Force)))). To calculate Water Permeability based on Initial flux, you need Volumetric Water Flux Through Membrane (J_wv), Applied Pressure Driving Force (ΔP_m), Temperature (T), Molecular Weight (n₀) & Initial Volume (V₀). With our tool, you need to enter the respective value for Volumetric Water Flux Through Membrane, Applied Pressure Driving Force, Temperature, Molecular Weight & Initial Volume 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 Volumetric Water Flux Through Membrane, Applied Pressure Driving Force, Temperature, Molecular Weight & Initial Volume. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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