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Transition Reynolds Number Formula

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The Transition Reynolds Number is a dimensionless quantity that characterizes the transition from laminar to turbulent flow over a flat plate in hypersonic conditions. Check FAQs

Ret = \frac{ρ e \cdot u e \cdot xt}{μe}

Ret - Transition Reynolds Number?ρ_e - Static Density?u_e - Static Velocity?xt - Location Transition Point?μe - Static Viscosity?

Transition Reynolds Number Example

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With units

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Here is how the Transition Reynolds Number equation looks like with Values.

Here is how the Transition Reynolds Number equation looks like with Units.

Here is how the Transition Reynolds Number equation looks like.

2500.0004 = \frac{98.3 \cdot 8.8 \cdot 3.2368}{11.2}

2500.0004 = \frac{98.3kg/m³ \cdot 8.8m/s \cdot 3.2368m}{11.2P}

2500.0004 = \frac{98.3 \cdot 8.8 \cdot 3.2368}{11.2}

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Transition Reynolds Number Solution

Follow our step by step solution on how to calculate Transition Reynolds Number?

FIRST Step Consider the formula

Ret = \frac{ρ e \cdot u e \cdot xt}{μe}

Next Step Substitute values of Variables

∴

Ret = \frac{98.3kg/m³ \cdot 8.8m/s \cdot 3.2368m}{11.2P}

Next Step Convert Units

∴

Ret = \frac{98.3kg/m³ \cdot 8.8m/s \cdot 3.2368m}{1.12Pa*s}

Next Step Prepare to Evaluate

∴

Ret = \frac{98.3 \cdot 8.8 \cdot 3.2368}{1.12}

Next Step Evaluate

∴

Ret = 2500.00035607143

LAST Step Rounding Answer

∴

Ret = 2500.0004

Transition Reynolds Number Formula Elements

Variables

Transition Reynolds Number

The Transition Reynolds Number is a dimensionless quantity that characterizes the transition from laminar to turbulent flow over a flat plate in hypersonic conditions.

Symbol: Ret

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Transition Reynolds Number

Static Density

The Static Density is the mass per unit volume of a fluid at rest, crucial for understanding fluid behavior in hypersonic flow conditions.

Symbol: ρ_e

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Static Density

Static Velocity

The Static Velocity is the velocity of a fluid at a specific point in a flow field, measured relative to the surrounding fluid at rest.

Symbol: u_e

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Static Velocity

Location Transition Point

The Location Transition Point is the specific position on a flat plate where the flow transitions from laminar to hypersonic, affecting the behavior of viscous flow.

Symbol: xt

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Location Transition Point

Static Viscosity

The Static Viscosity is a measure of a fluid's resistance to flow and deformation under shear stress, particularly relevant in hypersonic transition scenarios.

Symbol: μe

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Static Viscosity

Other formulas in Hypersonic Transition category

Go Static Density at Transition Point

ρ e = \frac{Ret \cdot μe}{u e \cdot xt}

Go Static Velocity at Transition Point

u e = \frac{Ret \cdot μe}{ρ e \cdot xt}

Go Location of Transition Point

xt = \frac{Ret \cdot μe}{u e \cdot ρ e}

Go Static Viscosity at Transition Point

μe = \frac{ρ e \cdot u e \cdot xt}{Ret}

How to Evaluate Transition Reynolds Number?

Transition Reynolds Number evaluator uses Transition Reynolds Number = (Static Density*Static Velocity*Location Transition Point)/Static Viscosity to evaluate the Transition Reynolds Number, The Transition Reynolds number formula is defined as the interrelation between static density, static velocity, viscosity, and location of the transition point. Transition Reynolds Number is denoted by Ret symbol.

How to evaluate Transition Reynolds Number using this online evaluator? To use this online evaluator for Transition Reynolds Number, enter Static Density (ρ_e), Static Velocity (u_e), Location Transition Point (xt) & Static Viscosity (μe) and hit the calculate button.

FAQs on Transition Reynolds Number

What is the formula to find Transition Reynolds Number?

The formula of Transition Reynolds Number is expressed as Transition Reynolds Number = (Static Density*Static Velocity*Location Transition Point)/Static Viscosity. Here is an example- 9268.286 = (98.3*8.8*3.236845)/1.12.

How to calculate Transition Reynolds Number?

With Static Density (ρ_e), Static Velocity (u_e), Location Transition Point (xt) & Static Viscosity (μe) we can find Transition Reynolds Number using the formula - Transition Reynolds Number = (Static Density*Static Velocity*Location Transition Point)/Static Viscosity.

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Transition Reynolds Number Formula

Transition Reynolds Number Example

Transition Reynolds Number Solution

Transition Reynolds Number Formula Elements

Other formulas in Hypersonic Transition category

How to Evaluate Transition Reynolds Number?

FAQs on Transition Reynolds Number

Variable Name