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%
✖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.ⓘ Reynolds Number [Re]			+10% -10%

✖The Prandtl number (Pr) 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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Formula

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Prandtl number given Peclet number

Formula

`"Pr" = "Pe"/"Re"`

Example

`"0.0001"="0.5"/"5000"`

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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 - The Prandtl number (Pr) 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 - 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.

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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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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Reynolds number given Inertia and Viscous Force

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Prandtl number given Peclet number Formula

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, The Prandtl number given Peclet number formula is defined as a dimensionless number approximating the ratio of momentum diffusivity to thermal diffusivity. 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?

The Prandtl number given Peclet number formula is defined as a dimensionless number approximating the ratio of momentum diffusivity to thermal diffusivity 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 & 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.

How to calculate Prandtl number given Peclet number?

The Prandtl number given Peclet number formula is defined as a dimensionless number approximating the ratio of momentum diffusivity to thermal diffusivity 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.

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