Resistance to flow in Membranes Calculator

✖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%

✖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.ⓘ Resistance to flow in Membranes [R_m]

⎘ Copy

👎

Formula

✖

Resistance to flow in Membranes

Formula

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

Example

`"4.8E^10m⁻¹"="300000Pa"/("0.0009Kg/ms"*"0.0069444m³/(m²*s)")`

Calculator

LaTeX

Reset

👍

Download Mass Transfer Operations Formula PDF PDF Image

Resistance to flow in Membranes Solution

STEP 0: Pre-Calculation Summary

Formula Used

Membrane Flow Resistance of Unit Area = Applied Pressure Driving Force/(Liquid Viscosity*Flux through Membrane)
R_m = ΔP_m/(μ*J_wM)
This formula uses 4 Variables

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_m = ΔP_m/(μ*J_wM) --> 300000/(0.0009*0.0069444)

Evaluating ... ...

R_m = 48000307201.9661

STEP 3: Convert Result to Output's Unit

48000307201.9661 1 per Meter --> No Conversion Required

FINAL ANSWER

48000307201.9661 ≈ 4.8E+10 1 per Meter <-- Membrane Flow Resistance of Unit Area

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Chemical Engineering » Mass Transfer Operations » Membrane Separation » Basics of Membrane Separation Processes » Resistance to flow in Membranes

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!

< 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

Resistance to flow in Membranes Formula

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

What Resistance to flow is in Membrane?

When substances flow through a membrane, they encounter resistance due to factors such as the size of pores or channels within the membrane, the interactions between the substance and the membrane material, and the overall structure of the membrane.

How to Calculate Resistance to flow in Membranes?

Resistance to flow in Membranes calculator uses Membrane Flow Resistance of Unit Area = Applied Pressure Driving Force/(Liquid Viscosity*Flux through Membrane) to calculate the Membrane Flow Resistance of Unit Area, The Resistance to flow in Membranes formula is defined as the measure of the resistance that a membrane presents to the flow of a substance through it. Membrane Flow Resistance of Unit Area is denoted by R_m symbol.

How to calculate Resistance to flow in Membranes using this online calculator? To use this online calculator for Resistance to flow in Membranes, enter Applied Pressure Driving Force (ΔP_m), Liquid Viscosity (μ) & Flux through Membrane (J_wM) and hit the calculate button. Here is how the Resistance to flow in Membranes calculation can be explained with given input values -> 4.8E+10 = 300000/(0.0009*0.0069444).

FAQ

What is Resistance to flow in Membranes?

The Resistance to flow in Membranes formula is defined as the measure of the resistance that a membrane presents to the flow of a substance through it and is represented as R_m = ΔP_m/(μ*J_wM) or Membrane Flow Resistance of Unit Area = Applied Pressure Driving Force/(Liquid Viscosity*Flux through 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.

How to calculate Resistance to flow in Membranes?

The Resistance to flow in Membranes formula is defined as the measure of the resistance that a membrane presents to the flow of a substance through it is calculated using Membrane Flow Resistance of Unit Area = Applied Pressure Driving Force/(Liquid Viscosity*Flux through Membrane). To calculate Resistance to flow in Membranes, you need Applied Pressure Driving Force (ΔP_m), Liquid Viscosity (μ) & Flux through Membrane (J_wM). With our tool, you need to enter the respective value for Applied Pressure Driving Force, 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.

Home

FREE PDFs

🔍 Search