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Reynolds Number of Blood in Vessel Formula

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The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe. Check FAQs

Re = \frac{ρ blood \cdot v \cdot D artery}{μ}

Re - Reynolds Number?ρ_blood - Blood Density?v - Mean Velocity of Blood?D_artery - Diameter of Artery?μ - Viscosity of Blood?

Reynolds Number of Blood in Vessel Example

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Here is how the Reynolds Number of Blood in Vessel equation looks like with Values.

Here is how the Reynolds Number of Blood in Vessel equation looks like with Units.

Here is how the Reynolds Number of Blood in Vessel equation looks like.

0.1519 = \frac{11.5 \cdot 15.65 \cdot 10.55}{12.5}

0.1519 = \frac{11.5kg/m³ \cdot 15.65mL/s \cdot 10.55m}{12.5cP}

0.1519 = \frac{11.5 \cdot 15.65 \cdot 10.55}{12.5}

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Reynolds Number of Blood in Vessel Solution

Follow our step by step solution on how to calculate Reynolds Number of Blood in Vessel?

FIRST Step Consider the formula

Re = \frac{ρ blood \cdot v \cdot D artery}{μ}

Next Step Substitute values of Variables

∴

Re = \frac{11.5kg/m³ \cdot 15.65mL/s \cdot 10.55m}{12.5cP}

Next Step Convert Units

∴

Re = \frac{11.5kg/m³ \cdot 1.6E-5m³/s \cdot 10.55m}{0.0125Pa*s}

Next Step Prepare to Evaluate

∴

Re = \frac{11.5 \cdot 1.6E-5 \cdot 10.55}{0.0125}

Next Step Evaluate

∴

Re = 0.1518989

LAST Step Rounding Answer

∴

Re = 0.1519

Reynolds Number of Blood in Vessel Formula Elements

Variables

Reynolds Number

Symbol: Re

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Reynolds Number

Blood Density

The Blood Density is the mass per unit volume of blood.

Symbol: ρ_blood

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Blood Density

Mean Velocity of Blood

Mean Velocity of Blood is the mean rate of blood flow through a given vessel. Blood flow is the volume of blood flowing through a particular vessel in given interval of time.

Symbol: v

Measurement: Volumetric Flow RateUnit: mL/s

Note: Value should be greater than 0.

Formulas to find Mean Velocity of Blood

Diameter of Artery

Diameter of Artery is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.

Symbol: D_artery

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Artery

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

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 Reynolds Number of Blood in Vessel?

Reynolds Number of Blood in Vessel evaluator uses Reynolds Number = (Blood Density*Mean Velocity of Blood*Diameter of Artery)/Viscosity of Blood to evaluate the Reynolds Number, The Reynolds Number of Blood in Vessel formula is defined as is a relationship that helps determine the behavior of a fluid in a tube, in this case blood in the vessel. It is a dimensionless relationship. Reynolds Number is denoted by Re symbol.

How to evaluate Reynolds Number of Blood in Vessel using this online evaluator? To use this online evaluator for Reynolds Number of Blood in Vessel, enter Blood Density (ρ_blood), Mean Velocity of Blood (v), Diameter of Artery (D_artery) & Viscosity of Blood (μ) and hit the calculate button.

FAQs on Reynolds Number of Blood in Vessel

What is the formula to find Reynolds Number of Blood in Vessel?

The formula of Reynolds Number of Blood in Vessel is expressed as Reynolds Number = (Blood Density*Mean Velocity of Blood*Diameter of Artery)/Viscosity of Blood. Here is an example- 0.145295 = (11.5*1.565E-05*10.55)/0.0125.

How to calculate Reynolds Number of Blood in Vessel?

With Blood Density (ρ_blood), Mean Velocity of Blood (v), Diameter of Artery (D_artery) & Viscosity of Blood (μ) we can find Reynolds Number of Blood in Vessel using the formula - Reynolds Number = (Blood Density*Mean Velocity of Blood*Diameter of Artery)/Viscosity of Blood.

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Reynolds Number of Blood in Vessel Formula

Reynolds Number of Blood in Vessel Example

Reynolds Number of Blood in Vessel Solution

Reynolds Number of Blood in Vessel Formula Elements

Other formulas in Hemodynamics category

How to Evaluate Reynolds Number of Blood in Vessel?

FAQs on Reynolds Number of Blood in Vessel

Variable Name