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Pressure Difference across Pore based on Poiseuille's Law Formula

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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. Check FAQs

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

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

Pressure Difference across Pore based on Poiseuille's Law Example

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Here is how the Pressure Difference across Pore based on Poiseuille's Law equation looks like with Values.

Here is how the Pressure Difference across Pore based on Poiseuille's Law equation looks like with Units.

Here is how the Pressure Difference across Pore based on Poiseuille's Law equation looks like.

99944.2113 = \frac{2.5E-10 \cdot 128 \cdot 0.01 \cdot 0.1}{3.1416 \cdot {(0.0001)}^{4}}

99944.2113Pa = \frac{2.5E-10m³/s \cdot 128 \cdot 0.01Pa*s \cdot 0.1m}{3.1416 \cdot {(0.0001m)}^{4}}

99944.2113 = \frac{2.5E-10 \cdot 128 \cdot 0.01 \cdot 0.1}{3.1416 \cdot {(0.0001)}^{4}}

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Pressure Difference across Pore based on Poiseuille's Law Solution

Follow our step by step solution on how to calculate Pressure Difference across Pore based on Poiseuille's Law?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

ΔP = 99944.2113035313Pa

LAST Step Rounding Answer

∴

ΔP = 99944.2113Pa

Pressure Difference across Pore based on Poiseuille's Law Formula Elements

Variables

Constants

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

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

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

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

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 Pressure Difference across Pore based on Poiseuille's Law?

Pressure Difference across Pore based on Poiseuille's Law evaluator uses Pressure Difference Across Pore = (Liquid Flow through Pore*128*Viscosity of Liquid*Length of Pore)/(pi*(Membrane Pore Diameter)^(4)) to evaluate the Pressure Difference Across Pore, Pressure difference across pore based on Poiseuille's law is defined as the pressure difference required to drive a fluid through the pore at a given flow rate. Pressure Difference Across Pore is denoted by ΔP symbol.

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

FAQs on Pressure Difference across Pore based on Poiseuille's Law

What is the formula to find Pressure Difference across Pore based on Poiseuille's Law?

The formula of Pressure Difference across Pore based on Poiseuille's Law is expressed as Pressure Difference Across Pore = (Liquid Flow through Pore*128*Viscosity of Liquid*Length of Pore)/(pi*(Membrane Pore Diameter)^(4)). Here is an example- 99944.21 = (2.453E-10*128*0.01*0.1)/(pi*(0.0001)^(4)).

How to calculate Pressure Difference across Pore based on Poiseuille's Law?

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

Can the Pressure Difference across Pore based on Poiseuille's Law be negative?

Yes, the Pressure Difference across Pore based on Poiseuille's Law, measured in Pressure can be negative.

Which unit is used to measure Pressure Difference across Pore based on Poiseuille's Law?

Pressure Difference across Pore based on Poiseuille's Law is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Pressure Difference across Pore based on Poiseuille's Law can be measured.

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Pressure Difference across Pore based on Poiseuille's Law Formula

Pressure Difference across Pore based on Poiseuille's Law Example

Pressure Difference across Pore based on Poiseuille's Law Solution

Pressure Difference across Pore based on Poiseuille's Law Formula Elements

Other formulas in Basics of Membrane Separation Processes category

How to Evaluate Pressure Difference across Pore based on Poiseuille's Law?

FAQs on Pressure Difference across Pore based on Poiseuille's Law

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