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Prandtl number given Stanton number and other dimensionless groups Formula

GoPrandtl number in convection Formula

GoPrandtl number given Rayleigh number Formula

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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. Check FAQs

Pr = \frac{Nu}{St \cdot Re}

Pr - Prandtl Number?Nu - Nusselt Number?St - Stanton Number?Re - Reynolds Number?

Prandtl number given Stanton number and other dimensionless groups Example

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Here is how the Prandtl number given Stanton number and other dimensionless groups equation looks like with Values.

Here is how the Prandtl number given Stanton number and other dimensionless groups equation looks like with Units.

Here is how the Prandtl number given Stanton number and other dimensionless groups equation looks like.

0.7005 = \frac{4}{0.0011 \cdot 5000}

0.7005 = \frac{4}{0.0011 \cdot 5000}

0.7005 = \frac{4}{0.0011 \cdot 5000}

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Prandtl number given Stanton number and other dimensionless groups Solution

Follow our step by step solution on how to calculate Prandtl number given Stanton number and other dimensionless groups?

FIRST Step Consider the formula

Pr = \frac{Nu}{St \cdot Re}

Next Step Substitute values of Variables

∴

Pr = \frac{4}{0.0011 \cdot 5000}

Next Step Prepare to Evaluate

∴

Pr = \frac{4}{0.0011 \cdot 5000}

Next Step Evaluate

∴

Pr = 0.700525394045534

LAST Step Rounding Answer

∴

Pr = 0.7005

Prandtl number given Stanton number and other dimensionless groups Formula Elements

Variables

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.

Symbol: Pr

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Prandtl Number

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.

Symbol: Nu

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Nusselt Number

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.

Symbol: St

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Stanton Number

Reynolds Number

Reynolds Number is a dimensionless number used in fluid mechanics to indicate whether fluid flow past a body or in a duct is steady or turbulent.

Symbol: Re

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Reynolds Number

Other Formulas to find Prandtl Number

Go Prandtl number in convection

Pr = \frac{Dm}{M dh}

Go Prandtl number given Rayleigh number

Pr = \frac{Ra}{G}

Go Prandtl number given Peclet number

Pr = \frac{Pe}{Re}

Go Prandtl number given Graetz numbber

Pr = Gr \cdot \frac{L}{Re \cdot D}

Other formulas in Prandtl and Peclet Number category

Go Peclet number given Reynolds number

Pe = Re \cdot Pr

Go Turbulent Prandtl Number

Pr t = \frac{ε M}{ε H}

Go Modified Prandtl number given Bingham number

Pr' = Pr \cdot (1 + B n)

Go Peclet Number given Schmidt Number

Pe = (Re \cdot Sc)

How to Evaluate Prandtl number given Stanton number and other dimensionless groups?

Prandtl number given Stanton number and other dimensionless groups evaluator uses Prandtl Number = Nusselt Number/(Stanton Number*Reynolds Number) to evaluate 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 evaluate Prandtl number given Stanton number and other dimensionless groups using this online evaluator? To use this online evaluator 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.

FAQs on Prandtl number given Stanton number and other dimensionless groups

What is the formula to find Prandtl number given Stanton number and other dimensionless groups?

The formula of Prandtl number given Stanton number and other dimensionless groups is expressed as Prandtl Number = Nusselt Number/(Stanton Number*Reynolds Number). Here is an example- 0.700525 = 4/(0.001142*5000).

How to calculate Prandtl number given Stanton number and other dimensionless groups?

With Nusselt Number (Nu), Stanton Number (St) & Reynolds Number (Re) we can find Prandtl number given Stanton number and other dimensionless groups using the formula - Prandtl Number = Nusselt Number/(Stanton Number*Reynolds Number).

What are the other ways to Calculate Prandtl Number?

Here are the different ways to Calculate Prandtl Number-

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

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Prandtl number given Stanton number and other dimensionless groups Formula

​GoPrandtl number in convection Formula

​GoPrandtl number given Rayleigh number Formula

Prandtl number given Stanton number and other dimensionless groups Example

Prandtl number given Stanton number and other dimensionless groups Solution

Prandtl number given Stanton number and other dimensionless groups Formula Elements

Other Formulas to find Prandtl Number

Other formulas in Prandtl and Peclet Number category

How to Evaluate Prandtl number given Stanton number and other dimensionless groups?

FAQs on Prandtl number given Stanton number and other dimensionless groups

Variable Name

GoPrandtl number in convection Formula

GoPrandtl number given Rayleigh number Formula