Prandtl Number with Reynolds Number, Nusselt's Number, and Stanton Number Calculator

✖The Nusselt Number is the ratio of convective to conductive heat transfer at a boundary in a fluid. Convection includes both advection and diffusion.ⓘ Nusselt Number [N_u]			+10% -10%
✖The Stanton Number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid.ⓘ Stanton Number [St]			+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.ⓘ 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 with Reynolds Number, Nusselt's Number, and Stanton Number [Pr]

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Formula

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Prandtl Number with Reynolds Number, Nusselt's Number, and Stanton Number

Formula

`"Pr" = "N"_{"u"}/("St"*"Re")`

Example

`"0.7"="1400"/("0.4"*"5000")`

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Prandtl Number with Reynolds Number, Nusselt's Number, and Stanton Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Prandtl Number = Nusselt Number/(Stanton Number*Reynolds Number)
Pr = N_u/(St*Re)
This formula uses 4 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.
Nusselt Number - The Nusselt Number is the ratio of convective to conductive heat transfer at a boundary in a fluid. Convection includes both advection and diffusion.
Stanton Number - The Stanton Number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid.
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.

STEP 1: Convert Input(s) to Base Unit

Nusselt Number: 1400 --> No Conversion Required
Stanton Number: 0.4 --> No Conversion Required
Reynolds Number: 5000 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Pr = N_u/(St*Re) --> 1400/(0.4*5000)

Evaluating ... ...

Pr = 0.7

STEP 3: Convert Result to Output's Unit

0.7 --> No Conversion Required

FINAL ANSWER

0.7 <-- Prandtl Number

(Calculation completed in 00.004 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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< 4 Dimensionless Quantities Calculators

Stanton Number with Reynolds Number, Nusselt's Number, Stanton Number and Prandtl Number

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

Reynolds Number for given Nusselt's Number, Stanton Number and Prandtl Number

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

Prandtl Number with Reynolds Number, Nusselt's Number, and Stanton Number

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

Nusselt's Number with Reynolds Number, Stanton Number and Prandtl Number

Go Nusselt Number = Reynolds Number*Stanton Number*Prandtl Number

Prandtl Number with Reynolds Number, Nusselt's Number, and Stanton Number Formula

Prandtl Number = Nusselt Number/(Stanton Number*Reynolds Number)
Pr = N_u/(St*Re)

What is Reynolds number ?

The Reynolds number is the ratio of inertial forces to viscous forces within a fluid that is subjected to relative internal movement due to different fluid velocities.

How to Calculate Prandtl Number with Reynolds Number, Nusselt's Number, and Stanton Number?

Prandtl Number with Reynolds Number, Nusselt's Number, and Stanton Number calculator uses Prandtl Number = Nusselt Number/(Stanton Number*Reynolds Number) to calculate the Prandtl Number, The Prandtl number with Reynolds number, Nusselt's number, and Stanton number formula is defined as the ratio of Nusselt's number and product of Reynolds number and Stanton number. Prandtl Number is denoted by Pr symbol.

How to calculate Prandtl Number with Reynolds Number, Nusselt's Number, and Stanton Number using this online calculator? To use this online calculator for Prandtl Number with Reynolds Number, Nusselt's Number, and Stanton Number, enter Nusselt Number (N_u), Stanton Number (St) & Reynolds Number (Re) and hit the calculate button. Here is how the Prandtl Number with Reynolds Number, Nusselt's Number, and Stanton Number calculation can be explained with given input values -> 0.0025 = 1400/(0.4*5000).

FAQ

What is Prandtl Number with Reynolds Number, Nusselt's Number, and Stanton Number?

The Prandtl number with Reynolds number, Nusselt's number, and Stanton number formula is defined as the ratio of Nusselt's number and product of Reynolds number and Stanton number and is represented as Pr = N_u/(St*Re) or Prandtl Number = Nusselt Number/(Stanton Number*Reynolds Number). The Nusselt Number is the ratio of convective to conductive heat transfer at a boundary in a fluid. Convection includes both advection and diffusion, The Stanton Number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid & 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.

How to calculate Prandtl Number with Reynolds Number, Nusselt's Number, and Stanton Number?

The Prandtl number with Reynolds number, Nusselt's number, and Stanton number formula is defined as the ratio of Nusselt's number and product of Reynolds number and Stanton number is calculated using Prandtl Number = Nusselt Number/(Stanton Number*Reynolds Number). To calculate Prandtl Number with Reynolds Number, Nusselt's Number, and Stanton Number, you need Nusselt Number (N_u), Stanton Number (St) & Reynolds Number (Re). With our tool, you need to enter the respective value for Nusselt Number, Stanton 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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