Pressure Driving Force in Membrane Calculator

✖Membrane flow resistance of unit area is defined as the measure of the resistance that a membrane presents to the flow of a substance through it, normalized by the area of the membrane.ⓘ Membrane Flow Resistance of Unit Area [R_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%

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

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Formula

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Pressure Driving Force in Membrane

Formula

`"ΔP"_{"m"} = "R"_{"m"}*"μ"*"J"_{"wM"}`

Example

`"300017.3Pa"="48003072200m⁻¹"*"0.0009Kg/ms"*"0.0069444m³/(m²*s)"`

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Pressure Driving Force in Membrane Solution

STEP 0: Pre-Calculation Summary

Formula Used

Applied Pressure Driving Force = Membrane Flow Resistance of Unit Area*Liquid Viscosity*Flux through Membrane
ΔP_m = R_m*μ*J_wM
This formula uses 4 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.
Membrane Flow Resistance of Unit Area - (Measured in 1 per Meter) - Membrane flow resistance of unit area is defined as the measure of the resistance that a membrane presents to the flow of a substance through it, normalized by the area of the membrane.
Liquid Viscosity - (Measured in Kilogram per Meter per 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.

STEP 1: Convert Input(s) to Base Unit

Membrane Flow Resistance of Unit Area: 48003072200 1 per Meter --> 48003072200 1 per Meter No Conversion Required
Liquid Viscosity: 0.0009 Kilogram per Meter per Second --> 0.0009 Kilogram per Meter per Second No Conversion Required
Flux through Membrane: 0.0069444 Cubic Meter per Square Meter per Second --> 0.0069444 Cubic Meter per Square Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔP_m = R_m*μ*J_wM --> 48003072200*0.0009*0.0069444

Evaluating ... ...

ΔP_m = 300017.281127112

STEP 3: Convert Result to Output's Unit

300017.281127112 Pascal --> No Conversion Required

FINAL ANSWER

300017.281127112 ≈ 300017.3 Pascal <-- Applied Pressure Driving Force

(Calculation completed in 00.020 seconds)

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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

Pressure Driving Force in Membrane Formula

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

By what factors is the pressure in the membrane affected?

The temperature of the feed water. The higher the temperature of the feed water, the faster the water molecules move, which can increase the rate of water permeation through the membrane. This means that less pressure is required to force water through the membrane when the temperature of the feed water is high.
The surface area of the membrane. The larger the surface area of the membrane, the more water can pass through the membrane at a given pressure.
The thickness of the membrane. The thicker the membrane, the more difficult it is for water to pass through the membrane, which means that more pressure is required.

How to Calculate Pressure Driving Force in Membrane?

Pressure Driving Force in Membrane calculator uses Applied Pressure Driving Force = Membrane Flow Resistance of Unit Area*Liquid Viscosity*Flux through Membrane to calculate the Applied Pressure Driving Force, Pressure Driving Force in Membrane is defined as the difference in fluid pressure existing on either side of a membrane. Applied Pressure Driving Force is denoted by ΔP_m symbol.

How to calculate Pressure Driving Force in Membrane using this online calculator? To use this online calculator for Pressure Driving Force in Membrane, enter Membrane Flow Resistance of Unit Area (R_m), Liquid Viscosity (μ) & Flux through Membrane (J_wM) and hit the calculate button. Here is how the Pressure Driving Force in Membrane calculation can be explained with given input values -> 119999.2 = 48003072200*0.0009*0.0069444.

FAQ

What is Pressure Driving Force in Membrane?

Pressure Driving Force in Membrane is defined as the difference in fluid pressure existing on either side of a membrane and is represented as ΔP_m = R_m*μ*J_wM or Applied Pressure Driving Force = Membrane Flow Resistance of Unit Area*Liquid Viscosity*Flux through Membrane. Membrane flow resistance of unit area is defined as the measure of the resistance that a membrane presents to the flow of a substance through it, normalized by the area of the membrane, 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.

How to calculate Pressure Driving Force in Membrane?

Pressure Driving Force in Membrane is defined as the difference in fluid pressure existing on either side of a membrane is calculated using Applied Pressure Driving Force = Membrane Flow Resistance of Unit Area*Liquid Viscosity*Flux through Membrane. To calculate Pressure Driving Force in Membrane, you need Membrane Flow Resistance of Unit Area (R_m), Liquid Viscosity (μ) & Flux through Membrane (J_wM). With our tool, you need to enter the respective value for Membrane Flow Resistance of Unit Area, Liquid Viscosity & Flux through Membrane 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 Membrane Flow Resistance of Unit Area, Liquid Viscosity & Flux through Membrane. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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