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Nusselt number for air Formula

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The Nusselt Number is the ratio of convective to conductive heat transfer at a boundary in a fluid. Convection includes both advection and diffusion. Check FAQs

Nu = 430 + ((5 \cdot (10^{- 3})) \cdot (Re)) + ((0.025 \cdot (10^{- 9})) \cdot ({Re}^{2})) - ((3.1 \cdot (10^{- 17})) \cdot ({Re}^{3}))

Nu - Nusselt Number?Re - Reynolds Number?

Nusselt number for air Example

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Here is how the Nusselt number for air equation looks like with Values.

Here is how the Nusselt number for air equation looks like with Units.

Here is how the Nusselt number for air equation looks like.

680.0586 = 430 + ((5 \cdot (10^{- 3})) \cdot (50000)) + ((0.025 \cdot (10^{- 9})) \cdot (50000^{2})) - ((3.1 \cdot (10^{- 17})) \cdot (50000^{3}))

680.0586 = 430 + ((5 \cdot (10^{- 3})) \cdot (50000)) + ((0.025 \cdot (10^{- 9})) \cdot (50000^{2})) - ((3.1 \cdot (10^{- 17})) \cdot (50000^{3}))

680.0586 = 430 + ((5 \cdot (10^{- 3})) \cdot (50000)) + ((0.025 \cdot (10^{- 9})) \cdot (50000^{2})) - ((3.1 \cdot (10^{- 17})) \cdot (50000^{3}))

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Nusselt number for air Solution

Follow our step by step solution on how to calculate Nusselt number for air?

FIRST Step Consider the formula

Nu = 430 + ((5 \cdot (10^{- 3})) \cdot (Re)) + ((0.025 \cdot (10^{- 9})) \cdot ({Re}^{2})) - ((3.1 \cdot (10^{- 17})) \cdot ({Re}^{3}))

Next Step Substitute values of Variables

∴

Nu = 430 + ((5 \cdot (10^{- 3})) \cdot (50000)) + ((0.025 \cdot (10^{- 9})) \cdot (50000^{2})) - ((3.1 \cdot (10^{- 17})) \cdot (50000^{3}))

Next Step Prepare to Evaluate

∴

Nu = 430 + ((5 \cdot (10^{- 3})) \cdot (50000)) + ((0.025 \cdot (10^{- 9})) \cdot (50000^{2})) - ((3.1 \cdot (10^{- 17})) \cdot (50000^{3}))

Next Step Evaluate

∴

Nu = 680.058625

LAST Step Rounding Answer

∴

Nu = 680.0586

Nusselt number for air Formula Elements

Variables

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

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 to find Nusselt Number

Go Nusselt number

Nu = 0.37 \cdot {Re}^{0.6}

Go Nusselt number for gases

Nu = 2 + {(0.25 \cdot Re + (3 \cdot 10^{- 4}) \cdot ({Re}^{1.6}))}^{0.5}

Go Nusselt number for liquids for external flow

Nu = \frac{0.97 + 0.68 \cdot ({Re}^{0.5})}{{Pr}^{- 0.3}}

Go Nusselt number for oils and water

Nu = \frac{1.2 + 0.53 \cdot ({Re}^{0.54})}{({Pr}^{- 0.3}) \cdot {(\frac{μ w}{μ ∞})}^{0.25}}

How to Evaluate Nusselt number for air?

Nusselt number for air evaluator uses Nusselt Number = 430+((5*(10^-3))*(Reynolds Number))+((0.025*(10^-9))*(Reynolds Number^2))-((3.1*(10^-17))*(Reynolds Number^3)) to evaluate the Nusselt Number, Nusselt number for air formula is defined as a dimensionless quantity that characterizes convective heat transfer between a sphere and a fluid, typically air, and is used to determine the convective heat transfer coefficient in various engineering applications, particularly in the context of flow over a sphere. Nusselt Number is denoted by Nu symbol.

How to evaluate Nusselt number for air using this online evaluator? To use this online evaluator for Nusselt number for air, enter Reynolds Number (Re) and hit the calculate button.

FAQs on Nusselt number for air

What is the formula to find Nusselt number for air?

The formula of Nusselt number for air is expressed as Nusselt Number = 430+((5*(10^-3))*(Reynolds Number))+((0.025*(10^-9))*(Reynolds Number^2))-((3.1*(10^-17))*(Reynolds Number^3)). Here is an example- 680.0586 = 430+((5*(10^-3))*(50000))+((0.025*(10^-9))*(50000^2))-((3.1*(10^-17))*(50000^3)).

How to calculate Nusselt number for air?

With Reynolds Number (Re) we can find Nusselt number for air using the formula - Nusselt Number = 430+((5*(10^-3))*(Reynolds Number))+((0.025*(10^-9))*(Reynolds Number^2))-((3.1*(10^-17))*(Reynolds Number^3)).

What are the other ways to Calculate Nusselt Number?

Here are the different ways to Calculate Nusselt Number-

Nusselt Number=0.37*Reynolds Number^0.6
Nusselt Number=2+(0.25*Reynolds Number+(3*10^-4)*(Reynolds Number^1.6))^0.5
Nusselt Number=(0.97+0.68*(Reynolds Number^0.5))/(Prandtl Number^-0.3)

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