Prandtl number in convection Calculator

✖Molecular diffusivity of momentum is the spread of momentum between particles (atoms or molecules) of matter, often in the fluid state.ⓘ Molecular Diffusivity of Momentum [Dm]			+10% -10%
✖Molecular Diffusivity of Heat spread of momentum between heat of matter, often in the fluid state.ⓘ Molecular Diffusivity of Heat [Mdh]			+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 in convection [Pr]

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Prandtl number in convection

Formula

`"Pr" = "Dm"/"Mdh"`

Example

`"0.694444"="0.5m²/s"/"0.72m²/s"`

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Prandtl number in convection Solution

STEP 0: Pre-Calculation Summary

Formula Used

Prandtl Number = Molecular Diffusivity of Momentum/Molecular Diffusivity of Heat
Pr = Dm/Mdh
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.
Molecular Diffusivity of Momentum - (Measured in Square Meter Per Second) - Molecular diffusivity of momentum is the spread of momentum between particles (atoms or molecules) of matter, often in the fluid state.
Molecular Diffusivity of Heat - (Measured in Square Meter Per Second) - Molecular Diffusivity of Heat spread of momentum between heat of matter, often in the fluid state.

STEP 1: Convert Input(s) to Base Unit

Molecular Diffusivity of Momentum: 0.5 Square Meter Per Second --> 0.5 Square Meter Per Second No Conversion Required
Molecular Diffusivity of Heat: 0.72 Square Meter Per Second --> 0.72 Square Meter Per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Pr = Dm/Mdh --> 0.5/0.72

Evaluating ... ...

Pr = 0.694444444444444

STEP 3: Convert Result to Output's Unit

0.694444444444444 --> No Conversion Required

FINAL ANSWER

0.694444444444444 ≈ 0.694444 <-- Prandtl Number

(Calculation completed in 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » Convection » Dimensionless groups » Prandtl and Peclet Number » Prandtl number in convection

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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 in convection Formula

Prandtl Number = Molecular Diffusivity of Momentum/Molecular Diffusivity of Heat
Pr = Dm/Mdh

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 in convection?

Prandtl number in convection calculator uses Prandtl Number = Molecular Diffusivity of Momentum/Molecular Diffusivity of Heat to calculate the Prandtl Number, The Prandtl number in convection formula is defined as the ratio of momentum diffusivity to thermal diffusivity The Prandtl Number is often used in heat transfer and free and forced convection calculations. It depends on the fluid properties. Prandtl Number is denoted by Pr symbol.

How to calculate Prandtl number in convection using this online calculator? To use this online calculator for Prandtl number in convection, enter Molecular Diffusivity of Momentum (Dm) & Molecular Diffusivity of Heat (Mdh) and hit the calculate button. Here is how the Prandtl number in convection calculation can be explained with given input values -> 0.694444 = 0.5/0.72.

FAQ

What is Prandtl number in convection?

The Prandtl number in convection formula is defined as the ratio of momentum diffusivity to thermal diffusivity The Prandtl Number is often used in heat transfer and free and forced convection calculations. It depends on the fluid properties and is represented as Pr = Dm/Mdh or Prandtl Number = Molecular Diffusivity of Momentum/Molecular Diffusivity of Heat. Molecular diffusivity of momentum is the spread of momentum between particles (atoms or molecules) of matter, often in the fluid state & Molecular Diffusivity of Heat spread of momentum between heat of matter, often in the fluid state.

How to calculate Prandtl number in convection?

The Prandtl number in convection formula is defined as the ratio of momentum diffusivity to thermal diffusivity The Prandtl Number is often used in heat transfer and free and forced convection calculations. It depends on the fluid properties is calculated using Prandtl Number = Molecular Diffusivity of Momentum/Molecular Diffusivity of Heat. To calculate Prandtl number in convection, you need Molecular Diffusivity of Momentum (Dm) & Molecular Diffusivity of Heat (Mdh). With our tool, you need to enter the respective value for Molecular Diffusivity of Momentum & Molecular Diffusivity of Heat 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 Molecular Diffusivity of Momentum & Molecular Diffusivity of Heat. We can use 2 other way(s) to calculate the same, which is/are as follows -

Prandtl Number = Nusselt Number/(Stanton Number*Reynolds Number)
Prandtl Number = Rayleigh Number/Grashof Number

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