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Liquid Viscosity based on Poiseuille's Law Formula

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Viscosity of liquid is a measure of its resistance to flow. It is defined as the shear stress required to produce a unit rate of shear strain. Check FAQs

μ l = \frac{ΔP \cdot π \cdot {(d p)}^{4}}{q \cdot 128 \cdot l}

μ_l - Viscosity of Liquid?ΔP - Pressure Difference Across Pore?d_p - Membrane Pore Diameter?q - Liquid Flow through Pore?l - Length of Pore?π - Archimedes' constant?

Liquid Viscosity based on Poiseuille's Law Example

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Here is how the Liquid Viscosity based on Poiseuille's Law equation looks like with Values.

Here is how the Liquid Viscosity based on Poiseuille's Law equation looks like with Units.

Here is how the Liquid Viscosity based on Poiseuille's Law equation looks like.

0.01 = \frac{100000 \cdot 3.1416 \cdot {(0.0001)}^{4}}{2.5E-10 \cdot 128 \cdot 0.1}

0.01Pa*s = \frac{100000Pa \cdot 3.1416 \cdot {(0.0001m)}^{4}}{2.5E-10m³/s \cdot 128 \cdot 0.1m}

0.01 = \frac{100000 \cdot 3.1416 \cdot {(0.0001)}^{4}}{2.5E-10 \cdot 128 \cdot 0.1}

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Liquid Viscosity based on Poiseuille's Law Solution

Follow our step by step solution on how to calculate Liquid Viscosity based on Poiseuille's Law?

FIRST Step Consider the formula

μ l = \frac{ΔP \cdot π \cdot {(d p)}^{4}}{q \cdot 128 \cdot l}

Next Step Substitute values of Variables

∴

μ l = \frac{100000Pa \cdot π \cdot {(0.0001m)}^{4}}{2.5E-10m³/s \cdot 128 \cdot 0.1m}

Next Step Substitute values of Constants

∴

μ l = \frac{100000Pa \cdot 3.1416 \cdot {(0.0001m)}^{4}}{2.5E-10m³/s \cdot 128 \cdot 0.1m}

Next Step Prepare to Evaluate

∴

μ l = \frac{100000 \cdot 3.1416 \cdot {(0.0001)}^{4}}{2.5E-10 \cdot 128 \cdot 0.1}

Next Step Evaluate

∴

μ l = 0.0100055819837628Pa*s

LAST Step Rounding Answer

∴

μ l = 0.01Pa*s

Liquid Viscosity based on Poiseuille's Law Formula Elements

Variables

Constants

Viscosity of Liquid

Viscosity of liquid is a measure of its resistance to flow. It is defined as the shear stress required to produce a unit rate of shear strain.

Symbol: μ_l

Measurement: Dynamic ViscosityUnit: Pa*s

Note: Value should be greater than 0.

Formulas to find Viscosity of Liquid

Pressure Difference Across Pore

Pressure difference across pore is the difference in pressure between the two ends of the pore. It is a driving force for the flow of liquid through the pore.

Symbol: ΔP

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Pressure Difference Across Pore

Membrane Pore Diameter

Membrane Pore diameter based on Poiseuille's law is defined as the radius of a cylindrical pore that would produce the same flow rate.

Symbol: d_p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Membrane Pore Diameter

Liquid Flow through Pore

Liquid flow through pore based on Poiseuille's law is defined as the laminar flow of an incompressible and Newtonian fluid through a long cylindrical pore of constant cross-section.

Symbol: q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Liquid Flow through Pore

Length of Pore

Length of pore is the distance between the two ends of the pore. It is an important parameter in Poiseuille's law, which describes the flow rate of liquid through a pore.

Symbol: l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Pore

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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}

Go Liquid Viscosity based on Membrane Resistance

μ = \frac{ΔP m}{R m \cdot J wM}

Go Membrane Flux Based on Resistance

J wM = \frac{ΔP m}{R m \cdot μ}

How to Evaluate Liquid Viscosity based on Poiseuille's Law?

Liquid Viscosity based on Poiseuille's Law evaluator uses Viscosity of Liquid = (Pressure Difference Across Pore*pi*(Membrane Pore Diameter)^(4))/(Liquid Flow through Pore*128*Length of Pore) to evaluate the Viscosity of Liquid, Liquid Viscosity based on Poiseuille's law states that the flow rate of a liquid through a tube is inversely proportional to the liquid's viscosity. Viscosity of Liquid is denoted by μ_l symbol.

How to evaluate Liquid Viscosity based on Poiseuille's Law using this online evaluator? To use this online evaluator for Liquid Viscosity based on Poiseuille's Law, enter Pressure Difference Across Pore (ΔP), Membrane Pore Diameter (d_p), Liquid Flow through Pore (q) & Length of Pore (l) and hit the calculate button.

FAQs on Liquid Viscosity based on Poiseuille's Law

What is the formula to find Liquid Viscosity based on Poiseuille's Law?

The formula of Liquid Viscosity based on Poiseuille's Law is expressed as Viscosity of Liquid = (Pressure Difference Across Pore*pi*(Membrane Pore Diameter)^(4))/(Liquid Flow through Pore*128*Length of Pore). Here is an example- 0.010006 = (100000*pi*(0.0001)^(4))/(2.453E-10*128*0.1).

How to calculate Liquid Viscosity based on Poiseuille's Law?

With Pressure Difference Across Pore (ΔP), Membrane Pore Diameter (d_p), Liquid Flow through Pore (q) & Length of Pore (l) we can find Liquid Viscosity based on Poiseuille's Law using the formula - Viscosity of Liquid = (Pressure Difference Across Pore*pi*(Membrane Pore Diameter)^(4))/(Liquid Flow through Pore*128*Length of Pore). This formula also uses Archimedes' constant .

Can the Liquid Viscosity based on Poiseuille's Law be negative?

Yes, the Liquid Viscosity based on Poiseuille's Law, measured in Dynamic Viscosity can be negative.

Which unit is used to measure Liquid Viscosity based on Poiseuille's Law?

Liquid Viscosity based on Poiseuille's Law is usually measured using the Pascal Second[Pa*s] for Dynamic Viscosity. Newton Second per Square Meter[Pa*s], Millinewton Second per Square Meter[Pa*s], Dyne Second per Square Centimeter[Pa*s] are the few other units in which Liquid Viscosity based on Poiseuille's Law can be measured.

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Liquid Viscosity based on Poiseuille's Law Formula

Liquid Viscosity based on Poiseuille's Law Example

Liquid Viscosity based on Poiseuille's Law Solution

Liquid Viscosity based on Poiseuille's Law Formula Elements

Other formulas in Basics of Membrane Separation Processes category

How to Evaluate Liquid Viscosity based on Poiseuille's Law?

FAQs on Liquid Viscosity based on Poiseuille's Law

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