Prandtl number given Rayleigh number Calculator

✖Rayleigh Number is a dimensionless parameter that is a measure of the instability of a layer of fluid due to differences of temperature and density at the top and bottom.ⓘ Rayleigh Number [Ra]			+10% -10%
✖Grashof number approximates the ratio of the buoyancy to viscous force acting on a fluid.ⓘ Grashof Number [G]			+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 Rayleigh number [Pr]

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Formula

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Prandtl number given Rayleigh number

Formula

Pr = \frac{Ra}{G}

Example

0.7 = \frac{0.21}{0.3}

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Prandtl number given Rayleigh number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Prandtl Number = Rayleigh Number/Grashof Number
Pr = Ra/G
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.
Rayleigh Number - Rayleigh Number is a dimensionless parameter that is a measure of the instability of a layer of fluid due to differences of temperature and density at the top and bottom.
Grashof Number - Grashof number approximates the ratio of the buoyancy to viscous force acting on a fluid.

STEP 1: Convert Input(s) to Base Unit

Rayleigh Number: 0.21 --> No Conversion Required
Grashof Number: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Pr = Ra/G --> 0.21/0.3

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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< 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

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 Rayleigh number Formula

Prandtl Number = Rayleigh Number/Grashof Number
Pr = Ra/G

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 Rayleigh number?

Prandtl number given Rayleigh number calculator uses Prandtl Number = Rayleigh Number/Grashof Number to calculate the Prandtl Number, Prandtl number given Rayleigh number is a dimensionless number that indicates the relative thickness of the velocity boundary layer to the thermal boundary layer in a fluid flow. It's particularly useful in analyzing heat transfer in fluid flows, such as those in natural convection scenarios. Prandtl Number is denoted by Pr symbol.

How to calculate Prandtl number given Rayleigh number using this online calculator? To use this online calculator for Prandtl number given Rayleigh number, enter Rayleigh Number (Ra) & Grashof Number (G) and hit the calculate button. Here is how the Prandtl number given Rayleigh number calculation can be explained with given input values -> 2 = 0.21/0.3.

FAQ

What is Prandtl number given Rayleigh number?

Prandtl number given Rayleigh number is a dimensionless number that indicates the relative thickness of the velocity boundary layer to the thermal boundary layer in a fluid flow. It's particularly useful in analyzing heat transfer in fluid flows, such as those in natural convection scenarios and is represented as Pr = Ra/G or Prandtl Number = Rayleigh Number/Grashof Number. Rayleigh Number is a dimensionless parameter that is a measure of the instability of a layer of fluid due to differences of temperature and density at the top and bottom & Grashof number approximates the ratio of the buoyancy to viscous force acting on a fluid.

How to calculate Prandtl number given Rayleigh number?

Prandtl number given Rayleigh number is a dimensionless number that indicates the relative thickness of the velocity boundary layer to the thermal boundary layer in a fluid flow. It's particularly useful in analyzing heat transfer in fluid flows, such as those in natural convection scenarios is calculated using Prandtl Number = Rayleigh Number/Grashof Number. To calculate Prandtl number given Rayleigh number, you need Rayleigh Number (Ra) & Grashof Number (G). With our tool, you need to enter the respective value for Rayleigh Number & Grashof 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 Rayleigh Number & Grashof 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 = Peclet Number/Reynolds Number

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