Prandtl number given Peclet number Calculator

✖Peclet number is a measure of the relative importance of advection versus diffusion, where a large number indicates an advectively dominated distribution, and a small number indicates a diffuse flow.ⓘ Peclet Number [Pe]			+10% -10%
✖Reynolds Number is a dimensionless number used in fluid mechanics to indicate whether fluid flow past a body or in a duct is steady or turbulent.ⓘ Reynolds Number [Re]			+10% -10%

✖Prandtl Number or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.ⓘ Prandtl number given Peclet number [Pr]

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Prandtl number given Peclet number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Prandtl Number = Peclet Number/Reynolds Number
Pr = Pe/Re
This formula uses 3 Variables

Variables Used

Prandtl Number - Prandtl Number or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.
Peclet Number - Peclet number is a measure of the relative importance of advection versus diffusion, where a large number indicates an advectively dominated distribution, and a small number indicates a diffuse flow.
Reynolds Number - Reynolds Number is a dimensionless number used in fluid mechanics to indicate whether fluid flow past a body or in a duct is steady or turbulent.

STEP 1: Convert Input(s) to Base Unit

Peclet Number: 0.5 --> No Conversion Required
Reynolds Number: 5000 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Pr = Pe/Re --> 0.5/5000

Evaluating ... ...

Pr = 0.0001

STEP 3: Convert Result to Output's Unit

0.0001 --> No Conversion Required

FINAL ANSWER

0.0001 <-- Prandtl Number

(Calculation completed in 00.004 seconds)

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< Prandtl and Peclet Number Calculators

Prandtl number given Stanton number and other dimensionless groups

LaTeX Go Prandtl Number = Nusselt Number/(Stanton Number*Reynolds Number)

Prandtl number in convection

LaTeX Go Prandtl Number = Molecular Diffusivity of Momentum/Molecular Diffusivity of Heat

Prandtl number given Rayleigh number

LaTeX Go Prandtl Number = Rayleigh Number/Grashof Number

Peclet number given Reynolds number

LaTeX Go Peclet Number = Reynolds Number*Prandtl Number

Prandtl number given Peclet number Formula

LaTeX Go

Prandtl Number = Peclet Number/Reynolds Number
Pr = Pe/Re

What is convection?

Convection is the process of heat transfer by the bulk movement of molecules within fluids such as gases and liquids. The initial heat transfer between the object and the fluid takes place through conduction, but the bulk heat transfer happens due to the motion of the fluid.

How to Calculate Prandtl number given Peclet number?

Prandtl number given Peclet number calculator uses Prandtl Number = Peclet Number/Reynolds Number to calculate the Prandtl Number, Prandtl number given Peclet number is a dimensionless number that characterizes the relative thickness of the velocity boundary layer to the thermal boundary layer in a fluid flow. It is a key parameter in fluid dynamics and heat transfer, particularly in the analysis of convective heat transfer processes. Prandtl Number is denoted by Pr symbol.

How to calculate Prandtl number given Peclet number using this online calculator? To use this online calculator for Prandtl number given Peclet number, enter Peclet Number (Pe) & Reynolds Number (Re) and hit the calculate button. Here is how the Prandtl number given Peclet number calculation can be explained with given input values -> 0.0001 = 0.5/5000.

FAQ

What is Prandtl number given Peclet number?

Prandtl number given Peclet number is a dimensionless number that characterizes the relative thickness of the velocity boundary layer to the thermal boundary layer in a fluid flow. It is a key parameter in fluid dynamics and heat transfer, particularly in the analysis of convective heat transfer processes and is represented as Pr = Pe/Re or Prandtl Number = Peclet Number/Reynolds Number. Peclet number is a measure of the relative importance of advection versus diffusion, where a large number indicates an advectively dominated distribution, and a small number indicates a diffuse flow & Reynolds Number is a dimensionless number used in fluid mechanics to indicate whether fluid flow past a body or in a duct is steady or turbulent.

How to calculate Prandtl number given Peclet number?

Prandtl number given Peclet number is a dimensionless number that characterizes the relative thickness of the velocity boundary layer to the thermal boundary layer in a fluid flow. It is a key parameter in fluid dynamics and heat transfer, particularly in the analysis of convective heat transfer processes is calculated using Prandtl Number = Peclet Number/Reynolds Number. To calculate Prandtl number given Peclet number, you need Peclet Number (Pe) & Reynolds Number (Re). With our tool, you need to enter the respective value for Peclet Number & Reynolds Number and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Prandtl Number?

In this formula, Prandtl Number uses Peclet Number & Reynolds Number. We can use 3 other way(s) to calculate the same, which is/are as follows -

Prandtl Number = Molecular Diffusivity of Momentum/Molecular Diffusivity of Heat
Prandtl Number = Nusselt Number/(Stanton Number*Reynolds Number)
Prandtl Number = Rayleigh Number/Grashof Number

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