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Liquid Viscosity Based On Hagen Poiseuille Equation Formula

GoLiquid Viscosity based on Membrane Resistance Formula

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Liquid viscosity is defined as the measure of a fluid's resistance to flow or its internal friction when subjected to an external force. Check FAQs

μ = \frac{d^{2} \cdot ε \cdot ΔP m}{32 \cdot J wM \cdot Τ \cdot l mt}

μ - Liquid Viscosity?d - Pore Diameter?ε - Membrane Porosity?ΔP_m - Applied Pressure Driving Force?J_wM - Flux through Membrane?Τ - Tortuosity?l_mt - Membrane Thickness?

Liquid Viscosity Based On Hagen Poiseuille Equation Example

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Here is how the Liquid Viscosity Based On Hagen Poiseuille Equation equation looks like with Values.

Here is how the Liquid Viscosity Based On Hagen Poiseuille Equation equation looks like with Units.

Here is how the Liquid Viscosity Based On Hagen Poiseuille Equation equation looks like.

0.0009 = \frac{{6.3245}^{2} \cdot 0.35 \cdot 300000}{32 \cdot 0.0069 \cdot 280 \cdot 75}

0.0009Kg/ms = \frac{{6.3245μm}^{2} \cdot 0.35 \cdot 300000Pa}{32 \cdot 0.0069m³/(m²*s) \cdot 280 \cdot 75μm}

0.0009 = \frac{{6.3245}^{2} \cdot 0.35 \cdot 300000}{32 \cdot 0.0069 \cdot 280 \cdot 75}

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Liquid Viscosity Based On Hagen Poiseuille Equation Solution

Follow our step by step solution on how to calculate Liquid Viscosity Based On Hagen Poiseuille Equation?

FIRST Step Consider the formula

μ = \frac{d^{2} \cdot ε \cdot ΔP m}{32 \cdot J wM \cdot Τ \cdot l mt}

Next Step Substitute values of Variables

∴

μ = \frac{{6.3245μm}^{2} \cdot 0.35 \cdot 300000Pa}{32 \cdot 0.0069m³/(m²*s) \cdot 280 \cdot 75μm}

Next Step Convert Units

∴

μ = \frac{{6.3E-6m}^{2} \cdot 0.35 \cdot 300000Pa}{32 \cdot 0.0069m³/(m²*s) \cdot 280 \cdot 7.5E-5m}

Next Step Prepare to Evaluate

∴

μ = \frac{{6.3E-6}^{2} \cdot 0.35 \cdot 300000}{32 \cdot 0.0069 \cdot 280 \cdot 7.5E-5}

Next Step Evaluate

∴

μ = 0.0008999900155611Pa*s

Next Step Convert to Output's Unit

∴

μ = 0.0008999900155611Kg/ms

LAST Step Rounding Answer

∴

μ = 0.0009Kg/ms

Liquid Viscosity Based On Hagen Poiseuille Equation Formula Elements

Variables

Liquid Viscosity

Liquid viscosity is defined as the measure of a fluid's resistance to flow or its internal friction when subjected to an external force.

Symbol: μ

Measurement: Dynamic ViscosityUnit: Kg/ms

Note: Value should be greater than 0.

Formulas to find Liquid Viscosity

Pore Diameter

Pore diameter is defined as the distance between two opposite walls of a pore.

Symbol: d

Measurement: LengthUnit: μm

Note: Value should be greater than 0.

Formulas to find Pore Diameter

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.

Symbol: ε

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Membrane Porosity

Applied Pressure Driving Force

Applied Pressure Driving Force is defined as the force or pressure that is intentionally exerted or applied to induce or facilitate process.

Symbol: ΔP_m

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Applied Pressure Driving Force

Flux through 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.

Symbol: J_wM

Measurement: Membrane FluxUnit: m³/(m²*s)

Note: Value should be greater than 0.

Formulas to find Flux through 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.

Symbol: Τ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Tortuosity

Membrane Thickness

Membrane thickness is defined as the difference between the internal and outernal boundary of the membrane.

Symbol: l_mt

Measurement: LengthUnit: μm

Note: Value should be greater than 0.

Formulas to find Membrane Thickness

Other Formulas to find Liquid Viscosity

Go Liquid Viscosity based on Membrane Resistance

μ = \frac{ΔP m}{R m \cdot J wM}

Other formulas in Basics of Membrane Separation Processes category

Go Hagen Poiseuille Based Flux for Membrane Separation

J wM = \frac{ε \cdot d^{2} \cdot ΔP m}{32 \cdot μ \cdot Τ \cdot l mt}

Go Resistance to flow in Membranes

R m = \frac{ΔP m}{μ \cdot J wM}

How to Evaluate Liquid Viscosity Based On Hagen Poiseuille Equation?

Liquid Viscosity Based On Hagen Poiseuille Equation evaluator uses Liquid Viscosity = (Pore Diameter^2*Membrane Porosity*Applied Pressure Driving Force)/(32*Flux through Membrane*Tortuosity*Membrane Thickness) to evaluate 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 evaluate Liquid Viscosity Based On Hagen Poiseuille Equation using this online evaluator? To use this online evaluator 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.

FAQs on Liquid Viscosity Based On Hagen Poiseuille Equation

What is the formula to find Liquid Viscosity Based On Hagen Poiseuille Equation?

The formula of Liquid Viscosity Based On Hagen Poiseuille Equation is expressed as Liquid Viscosity = (Pore Diameter^2*Membrane Porosity*Applied Pressure Driving Force)/(32*Flux through Membrane*Tortuosity*Membrane Thickness). Here is an example- 0.00225 = (6.3245E-06^2*0.35*300000)/(32*0.0069444*280*7.5E-05).

How to calculate Liquid Viscosity Based On Hagen Poiseuille Equation?

With Pore Diameter (d), Membrane Porosity (ε), Applied Pressure Driving Force (ΔP_m), Flux through Membrane (J_wM), Tortuosity (Τ) & Membrane Thickness (l_mt) we can find Liquid Viscosity Based On Hagen Poiseuille Equation using the formula - Liquid Viscosity = (Pore Diameter^2*Membrane Porosity*Applied Pressure Driving Force)/(32*Flux through Membrane*Tortuosity*Membrane Thickness).

What are the other ways to Calculate Liquid Viscosity?

Here are the different ways to Calculate Liquid Viscosity-

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

Can the Liquid Viscosity Based On Hagen Poiseuille Equation be negative?

Yes, the Liquid Viscosity Based On Hagen Poiseuille Equation, measured in Dynamic Viscosity can be negative.

Which unit is used to measure Liquid Viscosity Based On Hagen Poiseuille Equation?

Liquid Viscosity Based On Hagen Poiseuille Equation is usually measured using the Kilogram per Meter per Second[Kg/ms] for Dynamic Viscosity. Pascal Second[Kg/ms], Newton Second per Square Meter[Kg/ms], Millinewton Second per Square Meter[Kg/ms] are the few other units in which Liquid Viscosity Based On Hagen Poiseuille Equation can be measured.

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Liquid Viscosity Based On Hagen Poiseuille Equation Formula

​GoLiquid Viscosity based on Membrane Resistance Formula

Liquid Viscosity Based On Hagen Poiseuille Equation Example

Liquid Viscosity Based On Hagen Poiseuille Equation Solution

Liquid Viscosity Based On Hagen Poiseuille Equation Formula Elements

Other Formulas to find Liquid Viscosity

Other formulas in Basics of Membrane Separation Processes category

How to Evaluate Liquid Viscosity Based On Hagen Poiseuille Equation?

FAQs on Liquid Viscosity Based On Hagen Poiseuille Equation

Variable Name

GoLiquid Viscosity based on Membrane Resistance Formula