Liquid Viscosity based on Membrane Resistance 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%
✖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%
✖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%

✖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 based on Membrane Resistance [μ]

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Formula

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Liquid Viscosity based on Membrane Resistance

Formula

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

Example

`"0.0009Kg/ms"="300000Pa"/("48003072200m⁻¹"*"0.0069444m³/(m²*s)")`

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Liquid Viscosity based on Membrane Resistance Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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
Membrane Flow Resistance of Unit Area: 48003072200 1 per Meter --> 48003072200 1 per Meter 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

μ = ΔP_m/(R_m*J_wM) --> 300000/(48003072200*0.0069444)

Evaluating ... ...

μ = 0.000899948159604865

STEP 3: Convert Result to Output's Unit

0.000899948159604865 Pascal Second -->0.000899948159604865 Kilogram per Meter per Second (Check conversion here)

FINAL ANSWER

0.000899948159604865 ≈ 0.0009 Kilogram per Meter per Second <-- Liquid Viscosity

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Mass Transfer Operations » Membrane Separation » Basics of Membrane Separation Processes » Liquid Viscosity based on Membrane Resistance

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< 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

Liquid Viscosity based on Membrane Resistance Formula

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

What is Liquid Viscosity?

Liquid viscosity refers to the internal resistance or friction that a liquid exhibits when it flows or deforms under the influence of an external force. Liquid viscosity based on membrane resistance is a method of determining the viscosity of a liquid by measuring the resistance of a porous membrane to the flow of the liquid. The method is based on the principle that the resistance of a membrane to the flow of a liquid is directly proportional to the viscosity of the liquid.

How to Calculate Liquid Viscosity based on Membrane Resistance?

Liquid Viscosity based on Membrane Resistance calculator uses Liquid Viscosity = Applied Pressure Driving Force/(Membrane Flow Resistance of Unit Area*Flux through Membrane) to calculate the Liquid Viscosity, The Liquid Viscosity based on Membrane Resistance formula is defined as how the thickness and characteristics of a membrane affect the resistance a liquid encounters as it flows through the membrane. Liquid Viscosity is denoted by μ symbol.

How to calculate Liquid Viscosity based on Membrane Resistance using this online calculator? To use this online calculator for Liquid Viscosity based on Membrane Resistance, enter Applied Pressure Driving Force (ΔP_m), Membrane Flow Resistance of Unit Area (R_m) & Flux through Membrane (J_wM) and hit the calculate button. Here is how the Liquid Viscosity based on Membrane Resistance calculation can be explained with given input values -> 0.00225 = 300000/(48003072200*0.0069444).

FAQ

What is Liquid Viscosity based on Membrane Resistance?

The Liquid Viscosity based on Membrane Resistance formula is defined as how the thickness and characteristics of a membrane affect the resistance a liquid encounters as it flows through the membrane and is represented as μ = ΔP_m/(R_m*J_wM) or Liquid Viscosity = Applied Pressure Driving Force/(Membrane Flow Resistance of Unit Area*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, 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 & 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 Liquid Viscosity based on Membrane Resistance?

The Liquid Viscosity based on Membrane Resistance formula is defined as how the thickness and characteristics of a membrane affect the resistance a liquid encounters as it flows through the membrane is calculated using Liquid Viscosity = Applied Pressure Driving Force/(Membrane Flow Resistance of Unit Area*Flux through Membrane). To calculate Liquid Viscosity based on Membrane Resistance, you need Applied Pressure Driving Force (ΔP_m), Membrane Flow Resistance of Unit Area (R_m) & Flux through Membrane (J_wM). With our tool, you need to enter the respective value for Applied Pressure Driving Force, Membrane Flow Resistance of Unit Area & 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 Liquid Viscosity?

In this formula, Liquid Viscosity uses Applied Pressure Driving Force, Membrane Flow Resistance of Unit Area & Flux through Membrane. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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