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

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The Prandtl Number is a dimensionless quantity used to characterize the ratio of momentum diffusivity to thermal diffusivity in a fluid. 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 is a dimensionless quantity used to characterize the ratio of momentum diffusivity to thermal diffusivity in a fluid.

Symbol: Pr

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Prandtl Number

Nusselt Number

The Nusselt Number is a dimensionless quantity that characterizes the convective heat transfer between a surface and a fluid in hypersonic flow conditions.

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 quantity used to characterize heat transfer and frictional drag in the boundary layer of hypersonic flow.

Symbol: St

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Stanton Number

Reynolds Number

The Reynolds Number is a dimensionless value that predicts the nature of fluid flow, helping to determine the boundary layer characteristics in hypersonic flow conditions.

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

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

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

St = \frac{N u}{Re \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, Prandtl Number with Reynolds Number, Nusselt's Number, and Stanton Number formula is defined as a dimensionless quantity that characterizes the ratio of momentum diffusivity to thermal diffusivity in a fluid, used to analyze heat transfer and fluid flow in hypersonic boundary layers, particularly in aerospace engineering applications. 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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