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

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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. Check FAQs

Pr = \frac{N u}{St \cdot Re}

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

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

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Here is how the Prandtl Number with Reynolds Number, Nusselt's Number, and Stanton Number equation looks like with Values.

Here is how the Prandtl Number with Reynolds Number, Nusselt's Number, and Stanton Number equation looks like with Units.

Here is how the Prandtl Number with Reynolds Number, Nusselt's Number, and Stanton Number equation looks like.

0.7 = \frac{1400}{0.4 \cdot 5000}

0.7 = \frac{1400}{0.4 \cdot 5000}

0.7 = \frac{1400}{0.4 \cdot 5000}

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

Follow our step by step solution on how to calculate Prandtl Number with Reynolds Number, Nusselt's Number, and Stanton Number?

FIRST Step Consider the formula

Pr = \frac{N u}{St \cdot Re}

Next Step Substitute values of Variables

∴

Pr = \frac{1400}{0.4 \cdot 5000}

Next Step Prepare to Evaluate

∴

Pr = \frac{1400}{0.4 \cdot 5000}

LAST Step Evaluate

∴

Pr = 0.7

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

Variables

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.

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: N_u

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

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.

Symbol: Re

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Reynolds Number

Other formulas in Dimensionless Quantities category

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

N u = Re \cdot St \cdot Pr

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

St = \frac{N u}{Re \cdot Pr}

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

Re = \frac{N u}{St \cdot Pr}

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

Prandtl Number with Reynolds Number, Nusselt's Number, and Stanton Number evaluator uses Prandtl Number = Nusselt Number/(Stanton Number*Reynolds Number) to evaluate 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 evaluate Prandtl Number with Reynolds Number, Nusselt's Number, and Stanton Number using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Prandtl Number with Reynolds Number, Nusselt's Number, and Stanton Number?

The formula of Prandtl Number with Reynolds Number, Nusselt's Number, and Stanton Number is expressed as Prandtl Number = Nusselt Number/(Stanton Number*Reynolds Number). Here is an example- 0.0025 = 1400/(0.4*5000).

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

With Nusselt Number (N_u), Stanton Number (St) & Reynolds Number (Re) we can find Prandtl Number with Reynolds Number, Nusselt's Number, and Stanton Number using the formula - Prandtl Number = Nusselt Number/(Stanton Number*Reynolds Number).

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

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

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

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

Other formulas in Dimensionless Quantities category

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

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

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