Initial Flux of Membrane 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 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%
✖Universal Gas Constant is a physical constant that appears in an equation defining the behavior of a gas under theoretically ideal conditions. Its unit is joulekelvin−1mole−1.ⓘ Universal Gas Constant [R]			+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%

✖Volumetric Water flux through membrane is the rate at which water flows through a given area of a material per unit of time.ⓘ Initial Flux of Membrane [J_wv]

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Formula

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Initial Flux of Membrane

Formula

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

Example

`"4.5E^-7m³/(m²*s)"=("0.00000002337m³/(m²*s*Pa)"*"300000Pa")*(1-(("8.314")*"298K"*"0.01802kg/mol"/"0.000148829m³"*(1/"300000Pa")))`

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Initial Flux of Membrane Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volumetric Water Flux Through Membrane = (Water Permeability Through Membrane*Applied Pressure Driving Force)*(1-((Universal Gas Constant)*Temperature*Molecular Weight/Initial Volume*(1/Applied Pressure Driving Force)))
J_wv = (L_p*ΔP_m)*(1-((R)*T*n₀/V₀*(1/ΔP_m)))
This formula uses 7 Variables

Variables Used

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.
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 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.
Universal Gas Constant - Universal Gas Constant is a physical constant that appears in an equation defining the behavior of a gas under theoretically ideal conditions. Its unit is joule*kelvin−1*mole−1.
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

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 Driving Force: 300000 Pascal --> 300000 Pascal No Conversion Required
Universal Gas Constant: 8.314 --> 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

J_wv = (L_p*ΔP_m)*(1-((R)*T*n₀/V₀*(1/ΔP_m))) --> (2.337E-08*300000)*(1-((8.314)*298*0.01802/0.000148829*(1/300000)))

Evaluating ... ...

J_wv = 4.47925654274254E-07

STEP 3: Convert Result to Output's Unit

4.47925654274254E-07 Cubic Meter per Square Meter per Second --> No Conversion Required

FINAL ANSWER

4.47925654274254E-07 ≈ 4.5E-7 Cubic Meter per Square Meter per Second <-- Volumetric Water Flux 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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DJ Sanghvi College of Engineering (DJSCE), Mumbai

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< 13 Membrane Characteristics Calculators

Bulk Concentration of Membrane

Go Bulk Concentration = (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)))

Solute Concentration at Membrane Surface

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

Initial Flux of Membrane

Go Volumetric Water Flux Through Membrane = (Water Permeability Through Membrane*Applied Pressure Driving Force)*(1-((Universal Gas Constant)*Temperature*Molecular Weight/Initial Volume*(1/Applied Pressure Driving Force)))

Osmotic Pressure Drop Based on Solution Diffusion Model

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

Membrane Thickness Based on Solution Diffusion Model

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

Membrane Pressure Drop Based On Solution Diffusion Model

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

Membrane Temperature

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

Initial Membrane Volume

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

Membrane Pore Diameter

Go Pore Diameter = ((32*Liquid Viscosity*Flux through Membrane*Tortuosity*Membrane Thickness)/(Membrane Porosity*Applied Pressure Driving Force))^0.5

Membrane Pressure Drop

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

Membrane Thickness

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

Membrane Porosity

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

Pressure Driving Force in Membrane

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

Initial Flux of Membrane Formula

Factors On Which Water Flux of Membrane is Depended?

The water flux of a membrane depends on a number of factors, including:

Membrane properties:
Pore size and distribution
Porosity
Tortuosity
Surface chemistry
Feed solution properties:
Concentration of dissolved solids
Temperature
Viscosity
Operating conditions:
Transmembrane pressure (TMP)
Feed flow rate
Temperature

How to Calculate Initial Flux of Membrane?

Initial Flux of Membrane calculator uses Volumetric Water Flux Through Membrane = (Water Permeability Through Membrane*Applied Pressure Driving Force)*(1-((Universal Gas Constant)*Temperature*Molecular Weight/Initial Volume*(1/Applied Pressure Driving Force))) to calculate the Volumetric Water Flux Through Membrane, The Initial Flux of Membrane formula is defined as the rate of solute transport through a membrane at the beginning of a filtration process. Volumetric Water Flux Through Membrane is denoted by J_wv symbol.

How to calculate Initial Flux of Membrane using this online calculator? To use this online calculator for Initial Flux of Membrane, enter Water Permeability Through Membrane (L_p), Applied Pressure Driving Force (ΔP_m), Universal Gas Constant (R), Temperature (T), Molecular Weight (n₀) & Initial Volume (V₀) and hit the calculate button. Here is how the Initial Flux of Membrane calculation can be explained with given input values -> 4.5E-7 = (2.337E-08*300000)*(1-((8.314)*298*0.01802/0.000148829*(1/300000))).

FAQ

What is Initial Flux of Membrane?

The Initial Flux of Membrane formula is defined as the rate of solute transport through a membrane at the beginning of a filtration process and is represented as J_wv = (L_p*ΔP_m)*(1-((R)*T*n₀/V₀*(1/ΔP_m))) or Volumetric Water Flux Through Membrane = (Water Permeability Through Membrane*Applied Pressure Driving Force)*(1-((Universal Gas Constant)*Temperature*Molecular Weight/Initial Volume*(1/Applied Pressure Driving Force))). 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 Driving Force is defined as the force or pressure that is intentionally exerted or applied to induce or facilitate process, Universal Gas Constant is a physical constant that appears in an equation defining the behavior of a gas under theoretically ideal conditions. Its unit is joule*kelvin−1*mole−1, 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 Initial Flux of Membrane?

The Initial Flux of Membrane formula is defined as the rate of solute transport through a membrane at the beginning of a filtration process is calculated using Volumetric Water Flux Through Membrane = (Water Permeability Through Membrane*Applied Pressure Driving Force)*(1-((Universal Gas Constant)*Temperature*Molecular Weight/Initial Volume*(1/Applied Pressure Driving Force))). To calculate Initial Flux of Membrane, you need Water Permeability Through Membrane (L_p), Applied Pressure Driving Force (ΔP_m), Universal Gas Constant (R), Temperature (T), Molecular Weight (n₀) & Initial Volume (V₀). With our tool, you need to enter the respective value for Water Permeability Through Membrane, Applied Pressure Driving Force, Universal Gas Constant, 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.

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