Membrane Thickness Calculator

✖Pore diameter is defined as the distance between two opposite walls of a pore.ⓘ Pore Diameter [d]			+10% -10%
✖Membrane porosity is defined as the void volume fraction of a membrane. It is the volume of the pores divided by the total volume of the membrane.ⓘ Membrane Porosity [ε]			+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%
✖Liquid viscosity is defined as the measure of a fluid's resistance to flow or its internal friction when subjected to an external force.ⓘ Liquid Viscosity [μ]			+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.ⓘ Flux through Membrane [J_wM]			+10% -10%
✖Tortuosity is an intrinsic property of a porous material usually defined as the ratio of actual flow path length to the straight distance between the ends of the flow path.ⓘ Tortuosity [Τ]			+10% -10%

✖Membrane thickness is defined as the difference between the internal and outernal boundary of the membrane.ⓘ Membrane Thickness [l_mt]

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Formula

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Membrane Thickness

Formula

`"l"_{"mt"} = ("d"^2*"ε"*"ΔP"_{"m"})/(32*"μ"*"J"_{"wM"}*"Τ")`

Example

`"74.99917μm"=(("6.3245μm")^2*"0.35"*"300000Pa")/(32*"0.0009Kg/ms"*"0.0069444m³/(m²*s)"*"280")`

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Membrane Thickness Solution

STEP 0: Pre-Calculation Summary

Formula Used

Membrane Thickness = (Pore Diameter^2*Membrane Porosity*Applied Pressure Driving Force)/(32*Liquid Viscosity*Flux through Membrane*Tortuosity)
l_mt = (d^2*ε*ΔP_m)/(32*μ*J_wM*Τ)
This formula uses 7 Variables

Variables Used

Membrane Thickness - (Measured in Meter) - Membrane thickness is defined as the difference between the internal and outernal boundary of the membrane.
Pore Diameter - (Measured in Meter) - Pore diameter is defined as the distance between two opposite walls of a pore.
Membrane Porosity - Membrane porosity is defined as the void volume fraction of a membrane. It is the volume of the pores divided by the total volume of the 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.
Liquid Viscosity - (Measured in Pascal Second) - Liquid viscosity is defined as the measure of a fluid's resistance to flow or its internal friction when subjected to an external force.
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.
Tortuosity - Tortuosity is an intrinsic property of a porous material usually defined as the ratio of actual flow path length to the straight distance between the ends of the flow path.

STEP 1: Convert Input(s) to Base Unit

Pore Diameter: 6.3245 Micrometer --> 6.3245E-06 Meter (Check conversion here)
Membrane Porosity: 0.35 --> No Conversion Required
Applied Pressure Driving Force: 300000 Pascal --> 300000 Pascal No Conversion Required
Liquid Viscosity: 0.0009 Kilogram per Meter per Second --> 0.0009 Pascal Second (Check conversion here)
Flux through Membrane: 0.0069444 Cubic Meter per Square Meter per Second --> 0.0069444 Cubic Meter per Square Meter per Second No Conversion Required
Tortuosity: 280 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_mt = (d^2*ε*ΔP_m)/(32*μ*J_wM*Τ) --> (6.3245E-06^2*0.35*300000)/(32*0.0009*0.0069444*280)

Evaluating ... ...

l_mt = 7.4999167963425E-05

STEP 3: Convert Result to Output's Unit

7.4999167963425E-05 Meter -->74.999167963425 Micrometer (Check conversion here)

FINAL ANSWER

74.999167963425 ≈ 74.99917 Micrometer <-- Membrane Thickness

(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

Harsh Kadam has created this Calculator and 50+ more calculators!

Verified by Vaibhav Mishra

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

Membrane Thickness Formula

Membrane Thickness = (Pore Diameter^2*Membrane Porosity*Applied Pressure Driving Force)/(32*Liquid Viscosity*Flux through Membrane*Tortuosity)
l_mt = (d^2*ε*ΔP_m)/(32*μ*J_wM*Τ)

What are the effects of membrane thickness?

The thickness of a membrane is important for a number of reasons. It affects the permeability of the membrane to different molecules, the interactions between the membrane and other molecules, and the structural stability of the membrane.

For example, the thickness of the cell membrane affects the permeability of the membrane to water. Water can more easily diffuse through thinner membranes than thicker membranes.

How to Calculate Membrane Thickness?

Membrane Thickness calculator uses Membrane Thickness = (Pore Diameter^2*Membrane Porosity*Applied Pressure Driving Force)/(32*Liquid Viscosity*Flux through Membrane*Tortuosity) to calculate the Membrane Thickness, The Membrane Thickness is defined as the distance between the two layers of lipid molecules that make up the bilayer. Membrane Thickness is denoted by l_mt symbol.

How to calculate Membrane Thickness using this online calculator? To use this online calculator for Membrane Thickness, enter Pore Diameter (d), Membrane Porosity (ε), Applied Pressure Driving Force (ΔP_m), Liquid Viscosity (μ), Flux through Membrane (J_wM) & Tortuosity (Τ) and hit the calculate button. Here is how the Membrane Thickness calculation can be explained with given input values -> 1.9E+8 = (6.3245E-06^2*0.35*300000)/(32*0.0009*0.0069444*280).

FAQ

What is Membrane Thickness?

The Membrane Thickness is defined as the distance between the two layers of lipid molecules that make up the bilayer and is represented as l_mt = (d^2*ε*ΔP_m)/(32*μ*J_wM*Τ) or Membrane Thickness = (Pore Diameter^2*Membrane Porosity*Applied Pressure Driving Force)/(32*Liquid Viscosity*Flux through Membrane*Tortuosity). Pore diameter is defined as the distance between two opposite walls of a pore, Membrane porosity is defined as the void volume fraction of a membrane. It is the volume of the pores divided by the total volume of the membrane, Applied Pressure Driving Force is defined as the force or pressure that is intentionally exerted or applied to induce or facilitate process, Liquid viscosity is defined as the measure of a fluid's resistance to flow or its internal friction when subjected to an external 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 & Tortuosity is an intrinsic property of a porous material usually defined as the ratio of actual flow path length to the straight distance between the ends of the flow path.

How to calculate Membrane Thickness?

The Membrane Thickness is defined as the distance between the two layers of lipid molecules that make up the bilayer is calculated using Membrane Thickness = (Pore Diameter^2*Membrane Porosity*Applied Pressure Driving Force)/(32*Liquid Viscosity*Flux through Membrane*Tortuosity). To calculate Membrane Thickness, you need Pore Diameter (d), Membrane Porosity (ε), Applied Pressure Driving Force (ΔP_m), Liquid Viscosity (μ), Flux through Membrane (J_wM) & Tortuosity (Τ). With our tool, you need to enter the respective value for Pore Diameter, Membrane Porosity, Applied Pressure Driving Force, Liquid Viscosity, Flux through Membrane & Tortuosity 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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