Membrane Pressure Drop Calculator

✖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%
✖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%
✖Membrane thickness is defined as the difference between the internal and outernal boundary of the membrane.ⓘ Membrane Thickness [l_mt]			+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%
✖Pore diameter is defined as the distance between two opposite walls of a pore.ⓘ Pore Diameter [d]			+10% -10%

✖Applied Pressure Driving Force is defined as the force or pressure that is intentionally exerted or applied to induce or facilitate process.ⓘ Membrane Pressure Drop [ΔP_m]

⎘ Copy

👎

Formula

✖

Membrane Pressure Drop

Formula

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

Example

`"300003.3Pa"=("280"*32*"0.0009Kg/ms"*"0.0069444m³/(m²*s)"*"75μm")/("0.35"*(("6.3245μm")^2))`

Calculator

LaTeX

Reset

👍

Download Mass Transfer Operations Formula PDF PDF Image

Membrane Pressure Drop Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.
Membrane Thickness - (Measured in Meter) - Membrane thickness is defined as the difference between the internal and outernal boundary of the membrane.
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.
Pore Diameter - (Measured in Meter) - Pore diameter is defined as the distance between two opposite walls of a pore.

STEP 1: Convert Input(s) to Base Unit

Tortuosity: 280 --> 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
Membrane Thickness: 75 Micrometer --> 7.5E-05 Meter (Check conversion here)
Membrane Porosity: 0.35 --> No Conversion Required
Pore Diameter: 6.3245 Micrometer --> 6.3245E-06 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔP_m = (Τ*32*μ*J_wM*l_mt)/(ε*(d^2)) --> (280*32*0.0009*0.0069444*7.5E-05)/(0.35*(6.3245E-06^2))

Evaluating ... ...

ΔP_m = 300003.328183222

STEP 3: Convert Result to Output's Unit

300003.328183222 Pascal --> No Conversion Required

FINAL ANSWER

300003.328183222 ≈ 300003.3 Pascal <-- Applied Pressure Driving Force

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Chemical Engineering » Mass Transfer Operations » Membrane Separation » Membrane Characteristics » Membrane Pressure Drop

Credits

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

Vaibhav Mishra has verified this Calculator and 200+ more calculators!

< 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 Pressure Drop Formula

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

What factors affect the Membrane Pressure Drops?

There are several factors that can affect the membrane pressure drop, including:

Membrane pore size: The smaller the pore size, the greater the resistance to flow and the higher the pressure drop.
Membrane thickness: The thicker the membrane, the greater the resistance to flow and the higher the pressure drop.
Fluid viscosity: The viscosity of a fluid is a measure of its resistance to flow. The higher the fluid viscosity, the greater the resistance to flow and the higher the membrane pressure drop.
Flow rate: The flow rate is the volume of fluid that flows through the membrane per unit time. The higher the flow rate, the greater the resistance to flow and the higher the membrane pressure drop.
Membrane fouling: Fouling is the accumulation of material on the membrane surface, which can block the pores and increase the resistance to flow.
Membrane scaling: Scaling is the deposition of minerals on the membrane surface, which can block the pores and increase the resistance to flow.

How to Calculate Membrane Pressure Drop?

Membrane Pressure Drop calculator uses Applied Pressure Driving Force = (Tortuosity*32*Liquid Viscosity*Flux through Membrane*Membrane Thickness)/(Membrane Porosity*(Pore Diameter^2)) to calculate the Applied Pressure Driving Force, Membrane pressure drop is defined as the difference in pressure between the feed and permeate sides of a membrane in a membrane separation process. Applied Pressure Driving Force is denoted by ΔP_m symbol.

How to calculate Membrane Pressure Drop using this online calculator? To use this online calculator for Membrane Pressure Drop, enter Tortuosity (Τ), Liquid Viscosity (μ), Flux through Membrane (J_wM), Membrane Thickness (l_mt), Membrane Porosity (ε) & Pore Diameter (d) and hit the calculate button. Here is how the Membrane Pressure Drop calculation can be explained with given input values -> 119999.2 = (280*32*0.0009*0.0069444*7.5E-05)/(0.35*(6.3245E-06^2)).

FAQ

What is Membrane Pressure Drop?

Membrane pressure drop is defined as the difference in pressure between the feed and permeate sides of a membrane in a membrane separation process and is represented as ΔP_m = (Τ*32*μ*J_wM*l_mt)/(ε*(d^2)) or Applied Pressure Driving Force = (Tortuosity*32*Liquid Viscosity*Flux through Membrane*Membrane Thickness)/(Membrane Porosity*(Pore Diameter^2)). 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, 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, Membrane thickness is defined as the difference between the internal and outernal boundary of the membrane, 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 & Pore diameter is defined as the distance between two opposite walls of a pore.

How to calculate Membrane Pressure Drop?

Membrane pressure drop is defined as the difference in pressure between the feed and permeate sides of a membrane in a membrane separation process is calculated using Applied Pressure Driving Force = (Tortuosity*32*Liquid Viscosity*Flux through Membrane*Membrane Thickness)/(Membrane Porosity*(Pore Diameter^2)). To calculate Membrane Pressure Drop, you need Tortuosity (Τ), Liquid Viscosity (μ), Flux through Membrane (J_wM), Membrane Thickness (l_mt), Membrane Porosity (ε) & Pore Diameter (d). With our tool, you need to enter the respective value for Tortuosity, Liquid Viscosity, Flux through Membrane, Membrane Thickness, Membrane Porosity & Pore Diameter 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 Applied Pressure Driving Force?

In this formula, Applied Pressure Driving Force uses Tortuosity, Liquid Viscosity, Flux through Membrane, Membrane Thickness, Membrane Porosity & Pore Diameter. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search