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Liquid Flow through Pore Based On Poiseuilles Law Formula

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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. Check FAQs

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

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

Liquid Flow through Pore Based On Poiseuilles Law Example

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Here is how the Liquid Flow through Pore Based On Poiseuilles Law equation looks like with Values.

Here is how the Liquid Flow through Pore Based On Poiseuilles Law equation looks like with Units.

Here is how the Liquid Flow through Pore Based On Poiseuilles Law equation looks like.

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

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

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

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Liquid Flow through Pore Based On Poiseuilles Law Solution

Follow our step by step solution on how to calculate Liquid Flow through Pore Based On Poiseuilles Law?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

q = (\frac{π \cdot {(0.0001m)}^{4}}{128 \cdot 0.01Pa*s \cdot 0.1m}) \cdot 100000Pa

Next Step Substitute values of Constants

∴

q = (\frac{3.1416 \cdot {(0.0001m)}^{4}}{128 \cdot 0.01Pa*s \cdot 0.1m}) \cdot 100000Pa

Next Step Prepare to Evaluate

∴

q = (\frac{3.1416 \cdot {(0.0001)}^{4}}{128 \cdot 0.01 \cdot 0.1}) \cdot 100000

Next Step Evaluate

∴

q = 2.45436926061703E-10m³/s

LAST Step Rounding Answer

∴

q = 2.5E-10m³/s

Liquid Flow through Pore Based On Poiseuilles Law Formula Elements

Variables

Constants

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

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

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

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

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

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 Flow through Pore Based On Poiseuilles Law?

Liquid Flow through Pore Based On Poiseuilles Law evaluator uses Liquid Flow through Pore = ((pi*(Membrane Pore Diameter)^4)/(128*Viscosity of Liquid*Length of Pore))*Pressure Difference Across Pore to evaluate the Liquid Flow through Pore, Liquid flow through pore based on Poiseuilles law is defined as the laminar flow of an incompressible and Newtonian fluid through a long cylindrical pore of constant cross-section. Liquid Flow through Membrane Based On Poiseuilles Law is defined as the laminar flow of an incompressible and Newtonian fluid through a long cylindrical pore of constant cross-section. Liquid Flow through Pore is denoted by q symbol.

How to evaluate Liquid Flow through Pore Based On Poiseuilles Law using this online evaluator? To use this online evaluator for Liquid Flow through Pore Based On Poiseuilles Law, enter Membrane Pore Diameter (d_p), Viscosity of Liquid (μ_l), Length of Pore (l) & Pressure Difference Across Pore (ΔP) and hit the calculate button.

FAQs on Liquid Flow through Pore Based On Poiseuilles Law

What is the formula to find Liquid Flow through Pore Based On Poiseuilles Law?

The formula of Liquid Flow through Pore Based On Poiseuilles Law is expressed as Liquid Flow through Pore = ((pi*(Membrane Pore Diameter)^4)/(128*Viscosity of Liquid*Length of Pore))*Pressure Difference Across Pore. Here is an example- 2.5E-9 = ((pi*(0.0001)^4)/(128*0.01*0.1))*100000.

How to calculate Liquid Flow through Pore Based On Poiseuilles Law?

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

Can the Liquid Flow through Pore Based On Poiseuilles Law be negative?

Yes, the Liquid Flow through Pore Based On Poiseuilles Law, measured in Volumetric Flow Rate can be negative.

Which unit is used to measure Liquid Flow through Pore Based On Poiseuilles Law?

Liquid Flow through Pore Based On Poiseuilles Law is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Liquid Flow through Pore Based On Poiseuilles Law can be measured.

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Liquid Flow through Pore Based On Poiseuilles Law Formula

Liquid Flow through Pore Based On Poiseuilles Law Example

Liquid Flow through Pore Based On Poiseuilles Law Solution

Liquid Flow through Pore Based On Poiseuilles Law Formula Elements

Other formulas in Basics of Membrane Separation Processes category

How to Evaluate Liquid Flow through Pore Based On Poiseuilles Law?

FAQs on Liquid Flow through Pore Based On Poiseuilles Law

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