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Pressure Drop using Hagen-Poiseuille equation Formula

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Difference in Pressure is the difference between the pressures. Check FAQs

ΔP = \frac{8 \cdot μ \cdot Lc \cdot Q}{π \cdot ({R 0}^{4})}

ΔP - Difference in Pressure?μ - Viscosity of Blood?Lc - Length of the Capillary Tube?Q - Blood Flow?R₀ - Radius of Artery?π - Archimedes' constant?

Pressure Drop using Hagen-Poiseuille equation Example

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Here is how the Pressure Drop using Hagen-Poiseuille equation equation looks like with Values.

Here is how the Pressure Drop using Hagen-Poiseuille equation equation looks like with Units.

Here is how the Pressure Drop using Hagen-Poiseuille equation equation looks like.

1.6E-10 = \frac{8 \cdot 12.5 \cdot 8 \cdot 9}{3.1416 \cdot ({10.9}^{4})}

1.6E-10Pa = \frac{8 \cdot 12.5cP \cdot 8m \cdot 9mL/s}{3.1416 \cdot ({10.9m}^{4})}

1.6E-10 = \frac{8 \cdot 12.5 \cdot 8 \cdot 9}{3.1416 \cdot ({10.9}^{4})}

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Pressure Drop using Hagen-Poiseuille equation Solution

Follow our step by step solution on how to calculate Pressure Drop using Hagen-Poiseuille equation?

FIRST Step Consider the formula

ΔP = \frac{8 \cdot μ \cdot Lc \cdot Q}{π \cdot ({R 0}^{4})}

Next Step Substitute values of Variables

∴

ΔP = \frac{8 \cdot 12.5cP \cdot 8m \cdot 9mL/s}{π \cdot ({10.9m}^{4})}

Next Step Substitute values of Constants

∴

ΔP = \frac{8 \cdot 12.5cP \cdot 8m \cdot 9mL/s}{3.1416 \cdot ({10.9m}^{4})}

Next Step Convert Units

∴

ΔP = \frac{8 \cdot 0.0125Pa*s \cdot 8m \cdot 9E-6m³/s}{3.1416 \cdot ({10.9m}^{4})}

Next Step Prepare to Evaluate

∴

ΔP = \frac{8 \cdot 0.0125 \cdot 8 \cdot 9E-6}{3.1416 \cdot ({10.9}^{4})}

Next Step Evaluate

∴

ΔP = 1.62359098778801E-10Pa

LAST Step Rounding Answer

∴

ΔP = 1.6E-10Pa

Pressure Drop using Hagen-Poiseuille equation Formula Elements

Variables

Constants

Difference in Pressure

Difference in Pressure is the difference between the pressures.

Symbol: ΔP

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Difference in Pressure

Viscosity of Blood

Viscosity of Blood is a measure of the resistance of blood to flow. It can also be described as the thickness and stickiness of blood.

Symbol: μ

Measurement: Dynamic ViscosityUnit: cP

Note: Value should be greater than 0.

Formulas to find Viscosity of Blood

Length of the Capillary Tube

Length of the Capillary Tube is the length of tube in which a liquid flows up into the tubes against gravity in a process called capillary action.

Symbol: Lc

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of the Capillary Tube

Blood Flow

The blood Flow involves a cyclic series of steps that move blood trough the heart and to the lungs to be oxygenated.

Symbol: Q

Measurement: Volumetric Flow RateUnit: mL/s

Note: Value should be greater than 0.

Formulas to find Blood Flow

Radius of Artery

The radius of artery is the radius of the blood vessel involved in circulatory system.

Symbol: R₀

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Artery

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 Hemodynamics category

Go Mean Arterial Pressure

MAP = DP + ((\frac{1}{3}) \cdot (SP - DP))

Go Pulse Pressure

PP = 3 \cdot (MAP - DP)

Go Pulse Wave Velocity using Moens-Korteweg equation

PWV = \sqrt{\frac{E \cdot h 0}{2 \cdot ρ blood \cdot R 0}}

Go Elastic (Tangent) Modulus using Hughes equation

E = E 0 \cdot \exp (ζ \cdot P)

How to Evaluate Pressure Drop using Hagen-Poiseuille equation?

Pressure Drop using Hagen-Poiseuille equation evaluator uses Difference in Pressure = (8*Viscosity of Blood*Length of the Capillary Tube*Blood Flow)/(pi*(Radius of Artery^4)) to evaluate the Difference in Pressure, The Pressure Drop using Hagen-Poiseuille equation of Blood is defined as resistance which is related to vessel radius, vessel length, and blood viscosity. Difference in Pressure is denoted by ΔP symbol.

How to evaluate Pressure Drop using Hagen-Poiseuille equation using this online evaluator? To use this online evaluator for Pressure Drop using Hagen-Poiseuille equation, enter Viscosity of Blood (μ), Length of the Capillary Tube (Lc), Blood Flow (Q) & Radius of Artery (R₀) and hit the calculate button.

FAQs on Pressure Drop using Hagen-Poiseuille equation

What is the formula to find Pressure Drop using Hagen-Poiseuille equation?

The formula of Pressure Drop using Hagen-Poiseuille equation is expressed as Difference in Pressure = (8*Viscosity of Blood*Length of the Capillary Tube*Blood Flow)/(pi*(Radius of Artery^4)). Here is an example- 1.6E-10 = (8*0.0125*8*9E-06)/(pi*(10.9^4)).

How to calculate Pressure Drop using Hagen-Poiseuille equation?

With Viscosity of Blood (μ), Length of the Capillary Tube (Lc), Blood Flow (Q) & Radius of Artery (R₀) we can find Pressure Drop using Hagen-Poiseuille equation using the formula - Difference in Pressure = (8*Viscosity of Blood*Length of the Capillary Tube*Blood Flow)/(pi*(Radius of Artery^4)). This formula also uses Archimedes' constant .

Can the Pressure Drop using Hagen-Poiseuille equation be negative?

Yes, the Pressure Drop using Hagen-Poiseuille equation, measured in Pressure can be negative.

Which unit is used to measure Pressure Drop using Hagen-Poiseuille equation?

Pressure Drop using Hagen-Poiseuille equation 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 Drop using Hagen-Poiseuille equation can be measured.

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Pressure Drop using Hagen-Poiseuille equation Formula

Pressure Drop using Hagen-Poiseuille equation Example

Pressure Drop using Hagen-Poiseuille equation Solution

Pressure Drop using Hagen-Poiseuille equation Formula Elements

Other formulas in Hemodynamics category

How to Evaluate Pressure Drop using Hagen-Poiseuille equation?

FAQs on Pressure Drop using Hagen-Poiseuille equation

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