Prandtl number given Stanton number and other dimensionless groups 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 [Nu]			+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. 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 Stanton number and other dimensionless groups [Pr]

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Formula

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Prandtl number given Stanton number and other dimensionless groups

Formula

`"Pr" = "Nu"/("St"*"Re")`

Example

`"0.002"="4"/("0.4"*"5000")`

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Prandtl number given Stanton number and other dimensionless groups Solution

STEP 0: Pre-Calculation Summary

Formula Used

Prandtl Number = Nusselt Number/(Stanton Number*Reynolds Number)
Pr = Nu/(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. 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

Nusselt Number: 4 --> 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 = Nu/(St*Re) --> 4/(0.4*5000)

Evaluating ... ...

Pr = 0.002

STEP 3: Convert Result to Output's Unit

0.002 --> No Conversion Required

FINAL ANSWER

0.002 <-- Prandtl Number

(Calculation completed in 00.004 seconds)

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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

Prandtl number given Stanton number and other dimensionless groups Formula

Prandtl Number = Nusselt Number/(Stanton Number*Reynolds Number)
Pr = Nu/(St*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 Stanton number and other dimensionless groups?

Prandtl number given Stanton number and other dimensionless groups calculator uses Prandtl Number = Nusselt Number/(Stanton Number*Reynolds Number) to calculate the Prandtl Number, The Prandtl number given Stanton number and other dimensionless groups 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 Stanton number and other dimensionless groups using this online calculator? To use this online calculator for Prandtl number given Stanton number and other dimensionless groups, enter Nusselt Number (Nu), Stanton Number (St) & Reynolds Number (Re) and hit the calculate button. Here is how the Prandtl number given Stanton number and other dimensionless groups calculation can be explained with given input values -> 0.008 = 4/(0.4*5000).

FAQ

What is Prandtl number given Stanton number and other dimensionless groups?

The Prandtl number given Stanton number and other dimensionless groups formula is defined as a dimensionless number approximating the ratio of momentum diffusivity to thermal diffusivity and is represented as Pr = Nu/(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. 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 Stanton number and other dimensionless groups?

The Prandtl number given Stanton number and other dimensionless groups formula is defined as a dimensionless number approximating the ratio of momentum diffusivity to thermal diffusivity is calculated using Prandtl Number = Nusselt Number/(Stanton Number*Reynolds Number). To calculate Prandtl number given Stanton number and other dimensionless groups, you need Nusselt Number (Nu), 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.

How many ways are there to calculate Prandtl Number?

In this formula, Prandtl Number uses Nusselt Number, Stanton Number & Reynolds Number. We can use 2 other way(s) to calculate the same, which is/are as follows -

Prandtl Number = Molecular Diffusivity of Momentum/Molecular Diffusivity of Heat
Prandtl Number = Rayleigh Number/Grashof Number

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