Liquid Viscosity Based On Hagen Poiseuille Equation 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%
✖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]			+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 Hagen Poiseuille Equation [μ]

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Liquid Viscosity Based On Hagen Poiseuille Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Liquid Viscosity = (Pore Diameter^2*Membrane Porosity*Applied Pressure Driving Force)/(32*Flux through Membrane*Tortuosity*Membrane Thickness)
μ = (d^2*ε*ΔP_m)/(32*J_wM*Τ*l_mt)
This formula uses 7 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.
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.
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.
Membrane Thickness - (Measured in Meter) - Membrane thickness is defined as the difference between the internal and outernal boundary of the membrane.

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
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
Membrane Thickness: 75 Micrometer --> 7.5E-05 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = (d^2*ε*ΔP_m)/(32*J_wM*Τ*l_mt) --> (6.3245E-06^2*0.35*300000)/(32*0.0069444*280*7.5E-05)

Evaluating ... ...

μ = 0.0008999900155611

STEP 3: Convert Result to Output's Unit

0.0008999900155611 Pascal Second -->0.0008999900155611 Kilogram per Meter per Second (Check conversion here)

FINAL ANSWER

0.0008999900155611 ≈ 0.0009 Kilogram per Meter per Second <-- Liquid Viscosity

(Calculation completed in 00.004 seconds)

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< Basics of Membrane Separation Processes Calculators

Hagen Poiseuille Based Flux for Membrane Separation

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

Liquid Viscosity based on Membrane Resistance

LaTeX Go Liquid Viscosity = Applied Pressure Driving Force/(Membrane Flow Resistance of Unit Area*Flux through Membrane)

Membrane Flux Based on Resistance

LaTeX Go Flux through Membrane = Applied Pressure Driving Force/(Membrane Flow Resistance of Unit Area*Liquid Viscosity)

Resistance to flow in Membranes

LaTeX Go Membrane Flow Resistance of Unit Area = Applied Pressure Driving Force/(Liquid Viscosity*Flux through Membrane)

Liquid Viscosity Based On Hagen Poiseuille Equation Formula

LaTeX Go

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

Does Liquid viscosity in Membrane affects flux of membrane?

The viscosity of a liquid can affect the flux of a membrane. The flux of a membrane is the rate at which a liquid or gas passes through the membrane. It is affected by a number of factors, including the viscosity of the liquid, the pore size of the membrane, and the pressure difference across the membrane.

In general, the higher the viscosity of the liquid, the lower the flux of the membrane. This is because the higher viscosity makes it more difficult for the liquid to flow through the pores of the membrane. The effect of viscosity on flux is more pronounced for membranes with smaller pore sizes.

How to Calculate Liquid Viscosity Based On Hagen Poiseuille Equation?

Liquid Viscosity Based On Hagen Poiseuille Equation calculator uses Liquid Viscosity = (Pore Diameter^2*Membrane Porosity*Applied Pressure Driving Force)/(32*Flux through Membrane*Tortuosity*Membrane Thickness) to calculate the Liquid Viscosity, Liquid Viscosity based on hagen Poiseuille Equation defined the viscosity of the liquid passing though the membrane. It helps to determine how viscous the fluid is passing through the membrane. Liquid Viscosity is denoted by μ symbol.

How to calculate Liquid Viscosity Based On Hagen Poiseuille Equation using this online calculator? To use this online calculator for Liquid Viscosity Based On Hagen Poiseuille Equation, enter Pore Diameter (d), Membrane Porosity (ε), Applied Pressure Driving Force (ΔP_m), Flux through Membrane (J_wM), Tortuosity (Τ) & Membrane Thickness (l_mt) and hit the calculate button. Here is how the Liquid Viscosity Based On Hagen Poiseuille Equation calculation can be explained with given input values -> 0.00225 = (6.3245E-06^2*0.35*300000)/(32*0.0069444*280*7.5E-05).

FAQ

What is Liquid Viscosity Based On Hagen Poiseuille Equation?

Liquid Viscosity based on hagen Poiseuille Equation defined the viscosity of the liquid passing though the membrane. It helps to determine how viscous the fluid is passing through the membrane and is represented as μ = (d^2*ε*ΔP_m)/(32*J_wM*Τ*l_mt) or Liquid Viscosity = (Pore Diameter^2*Membrane Porosity*Applied Pressure Driving Force)/(32*Flux through Membrane*Tortuosity*Membrane Thickness). 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, 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 & Membrane thickness is defined as the difference between the internal and outernal boundary of the membrane.

How to calculate Liquid Viscosity Based On Hagen Poiseuille Equation?

Liquid Viscosity based on hagen Poiseuille Equation defined the viscosity of the liquid passing though the membrane. It helps to determine how viscous the fluid is passing through the membrane is calculated using Liquid Viscosity = (Pore Diameter^2*Membrane Porosity*Applied Pressure Driving Force)/(32*Flux through Membrane*Tortuosity*Membrane Thickness). To calculate Liquid Viscosity Based On Hagen Poiseuille Equation, you need Pore Diameter (d), Membrane Porosity (ε), Applied Pressure Driving Force (ΔP_m), Flux through Membrane (J_wM), Tortuosity (Τ) & Membrane Thickness (l_mt). With our tool, you need to enter the respective value for Pore Diameter, Membrane Porosity, Applied Pressure Driving Force, Flux through Membrane, Tortuosity & Membrane Thickness 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 Pore Diameter, Membrane Porosity, Applied Pressure Driving Force, Flux through Membrane, Tortuosity & Membrane Thickness. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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