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Turbulent Prandtl Number Formula

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Turbulent Prandtl Number is a non-dimensional term defined as the ratio between the momentum eddy diffusivity and the heat transfer eddy diffusivity. Check FAQs

Pr t = \frac{ε M}{ε H}

Pr_t - Turbulent Prandtl Number?ε_M - Turbulent Eddy Viscosity?ε_H - Eddy Diffusivity?

Turbulent Prandtl Number Example

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Here is how the Turbulent Prandtl Number equation looks like with Values.

Here is how the Turbulent Prandtl Number equation looks like with Units.

Here is how the Turbulent Prandtl Number equation looks like.

5 = \frac{100}{20}

5 = \frac{100m²/s}{20m²/s}

5 = \frac{100}{20}

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Turbulent Prandtl Number Solution

Follow our step by step solution on how to calculate Turbulent Prandtl Number?

FIRST Step Consider the formula

Pr t = \frac{ε M}{ε H}

Next Step Substitute values of Variables

∴

Pr t = \frac{100m²/s}{20m²/s}

Next Step Prepare to Evaluate

∴

Pr t = \frac{100}{20}

LAST Step Evaluate

∴

Pr t = 5

Turbulent Prandtl Number Formula Elements

Variables

Turbulent Prandtl Number

Turbulent Prandtl Number is a non-dimensional term defined as the ratio between the momentum eddy diffusivity and the heat transfer eddy diffusivity.

Symbol: Pr_t

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Turbulent Prandtl Number

Turbulent Eddy Viscosity

Turbulent Eddy Viscosity is defined as the turbulent transfer of momentum by eddies giving rise to internal fluid friction, in a manner analogous to the action of molecular viscosity in laminar flow.

Symbol: ε_M

Measurement: Kinematic ViscosityUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Turbulent Eddy Viscosity

Eddy Diffusivity

Eddy Diffusivity of heat is defined as the turbulent exchange coefficient for temperature.

Symbol: ε_H

Measurement: DiffusivityUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Eddy Diffusivity

Other formulas in Prandtl and Peclet Number category

Go Prandtl number in convection

Pr = \frac{Dm}{M dh}

Go Prandtl number given Stanton number and other dimensionless groups

Pr = \frac{Nu}{St \cdot Re}

Go Prandtl number given Rayleigh number

Pr = \frac{Ra}{G}

Go Peclet number given Reynolds number

Pe = Re \cdot Pr

How to Evaluate Turbulent Prandtl Number?

Turbulent Prandtl Number evaluator uses Turbulent Prandtl Number = Turbulent Eddy Viscosity/Eddy Diffusivity to evaluate the Turbulent Prandtl Number, Turbulent Prandtl Number is a dimensionless number used in fluid dynamics to describe the ratio of momentum diffusivity to thermal diffusivity in turbulent flow. It plays a crucial role in modeling the transfer of heat and momentum in turbulent boundary layers, affecting heat exchanger design, climate models, and aerodynamics. Turbulent Prandtl Number is denoted by Pr_t symbol.

How to evaluate Turbulent Prandtl Number using this online evaluator? To use this online evaluator for Turbulent Prandtl Number, enter Turbulent Eddy Viscosity (ε_M) & Eddy Diffusivity (ε_H) and hit the calculate button.

FAQs on Turbulent Prandtl Number

What is the formula to find Turbulent Prandtl Number?

The formula of Turbulent Prandtl Number is expressed as Turbulent Prandtl Number = Turbulent Eddy Viscosity/Eddy Diffusivity. Here is an example- 5 = 100/20.

How to calculate Turbulent Prandtl Number?

With Turbulent Eddy Viscosity (ε_M) & Eddy Diffusivity (ε_H) we can find Turbulent Prandtl Number using the formula - Turbulent Prandtl Number = Turbulent Eddy Viscosity/Eddy Diffusivity.

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Turbulent Prandtl Number Formula

Turbulent Prandtl Number Example

Turbulent Prandtl Number Solution

Turbulent Prandtl Number Formula Elements

Other formulas in Prandtl and Peclet Number category

How to Evaluate Turbulent Prandtl Number?

FAQs on Turbulent Prandtl Number

Variable Name