Turbulent Prandtl Number Solution

STEP 0: Pre-Calculation Summary
Formula Used
Turbulent Prandtl Number = Turbulent eddy viscosity/Eddy Diffusivity
Prt = εM/εH
This formula uses 3 Variables
Variables Used
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.
Turbulent eddy viscosity - (Measured in Square Meter per Second) - 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.
Eddy Diffusivity - (Measured in Square Meter Per Second) - Eddy diffusivity of heat is defined as the turbulent exchange coefficient for temperature.
STEP 1: Convert Input(s) to Base Unit
Turbulent eddy viscosity: 100 Square Meter per Second --> 100 Square Meter per Second No Conversion Required
Eddy Diffusivity: 20 Square Meter Per Second --> 20 Square Meter Per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Prt = εMH --> 100/20
Evaluating ... ...
Prt = 5
STEP 3: Convert Result to Output's Unit
5 --> No Conversion Required
FINAL ANSWER
5 <-- Turbulent Prandtl Number
(Calculation completed in 00.004 seconds)

Credits

Created by Ravi Khiyani
Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore
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7 Prandtl and Peclet Number Calculators

Prandtl number given Stanton number and other dimensionless groups
Go Prandtl Number = Nusselt Number/(Stanton Number*Reynolds Number)
Prandtl number in convection
Go Prandtl Number = Molecular Diffusivity of Momentum/Molecular Diffusivity of Heat
Turbulent Prandtl Number
Go Turbulent Prandtl Number = Turbulent eddy viscosity/Eddy Diffusivity
Modified Prandtl number given Bingham number
Go Modified Prandtl Number = Prandtl Number*(1+Bingham Number)
Peclet Number given Schmidt Number
Go Peclet Number = (Reynolds Number*Schmidt Number)
Prandtl number given Rayleigh number
Go Prandtl Number = Rayleigh Number/Grashof Number
Peclet number given Reynolds number
Go Peclet Number = Reynolds Number*Prandtl Number

Turbulent Prandtl Number Formula

Turbulent Prandtl Number = Turbulent eddy viscosity/Eddy Diffusivity
Prt = εM/εH

Where the Turbulent Prandtl number is used?

The Turbulent Prandtl number is useful for solving the heat transfer problem of turbulent boundary layer flows. The simplest model for turbulent Prandtl number is the Reynolds analogy, which yields a turbulent Prandtl number of 1. From experimental data, turbulent Prandtl number has an average value of 0.85 but ranges from 0.7 to 0.9 depending on the Prandtl number of the fluid.

How to Calculate Turbulent Prandtl Number?

Turbulent Prandtl Number calculator uses Turbulent Prandtl Number = Turbulent eddy viscosity/Eddy Diffusivity to calculate the Turbulent Prandtl Number, Turbulent Prandtl Number formula calculates a non-dimensional term defined as the ratio between the momentum eddy diffusivity and the heat transfer eddy diffusivity. Turbulent Prandtl Number is denoted by Prt symbol.

How to calculate Turbulent Prandtl Number using this online calculator? To use this online calculator for Turbulent Prandtl Number, enter Turbulent eddy viscosity M) & Eddy Diffusivity H) and hit the calculate button. Here is how the Turbulent Prandtl Number calculation can be explained with given input values -> 5 = 100/20.

FAQ

What is Turbulent Prandtl Number?
Turbulent Prandtl Number formula calculates a non-dimensional term defined as the ratio between the momentum eddy diffusivity and the heat transfer eddy diffusivity and is represented as Prt = εMH or Turbulent Prandtl Number = Turbulent eddy viscosity/Eddy Diffusivity. 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 & Eddy diffusivity of heat is defined as the turbulent exchange coefficient for temperature.
How to calculate Turbulent Prandtl Number?
Turbulent Prandtl Number formula calculates a non-dimensional term defined as the ratio between the momentum eddy diffusivity and the heat transfer eddy diffusivity is calculated using Turbulent Prandtl Number = Turbulent eddy viscosity/Eddy Diffusivity. To calculate Turbulent Prandtl Number, you need Turbulent eddy viscosity M) & Eddy Diffusivity H). With our tool, you need to enter the respective value for Turbulent eddy viscosity & Eddy Diffusivity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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