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Nusselt number for constant wall temperature Formula

GoNusselt number if heating starts from distance Xo from leading edge Formula

GoNusselt number for liquid metals and for silicones 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 = 0.332 \cdot ({Re}^{0.5}) \cdot ({Pr}^{0.333})

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

Nusselt number for constant wall temperature Example

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Here is how the Nusselt number for constant wall temperature equation looks like with Values.

Here is how the Nusselt number for constant wall temperature equation looks like with Units.

Here is how the Nusselt number for constant wall temperature equation looks like.

20.8469 = 0.332 \cdot (5000^{0.5}) \cdot ({0.7}^{0.333})

20.8469 = 0.332 \cdot (5000^{0.5}) \cdot ({0.7}^{0.333})

20.8469 = 0.332 \cdot (5000^{0.5}) \cdot ({0.7}^{0.333})

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Nusselt number for constant wall temperature Solution

Follow our step by step solution on how to calculate Nusselt number for constant wall temperature?

FIRST Step Consider the formula

Nu = 0.332 \cdot ({Re}^{0.5}) \cdot ({Pr}^{0.333})

Next Step Substitute values of Variables

∴

Nu = 0.332 \cdot (5000^{0.5}) \cdot ({0.7}^{0.333})

Next Step Prepare to Evaluate

∴

Nu = 0.332 \cdot (5000^{0.5}) \cdot ({0.7}^{0.333})

Next Step Evaluate

∴

Nu = 20.8468640010901

LAST Step Rounding Answer

∴

Nu = 20.8469

Nusselt number for constant wall temperature 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

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

Other Formulas to find Nusselt Number

Go Nusselt number if heating starts from distance Xo from leading edge

Nu = 0.332 \cdot ({Re x}^{0.5}) \cdot ({Pr}^{0.333}) \cdot {(1 - {(\frac{xo}{x})}^{0.75})}^{- 0.333}

Go Nusselt number for liquid metals and for silicones

Nu = \frac{0.3387 \cdot ({Re}^{0.5}) \cdot ({Pr}^{0.333})}{{(1 + {(\frac{0.0468}{Pr})}^{0.67})}^{0.25}}

Go Nusselt number for liquid metals only

Nu = 0.565 \cdot {(Re \cdot Pr)}^{0.5}

Go Nusselt number for constant heat flux for external flow

Nu = 0.453 \cdot ({Re}^{0.5}) \cdot ({Pr}^{0.333})

Other formulas in Laminar Flow category

Go Hydrodynamic boundary layer thickness at distance X from leading edge

𝛿hx = 5 \cdot x \cdot {Re x}^{- 0.5}

Go Thermal boundary layer thickness at distance X from leading edge

𝛿Tx = 𝛿hx \cdot {Pr}^{- 0.333}

Go Displacement thickness

𝛿 d = \frac{𝛿hx}{3}

Go Momentum thickness

θ = \frac{𝛿hx}{7}

How to Evaluate Nusselt number for constant wall temperature?

Nusselt number for constant wall temperature evaluator uses Nusselt Number = 0.332*(Reynolds Number^0.5)*(Prandtl Number^0.333) to evaluate the Nusselt Number, Nusselt number for constant wall temperature formula is defined as a dimensionless quantity used to describe the convective heat transfer between a fluid and a solid surface, specifically in the context of flow over a flat plate, where it characterizes the ratio of convective to conductive heat transfer. Nusselt Number is denoted by Nu symbol.

How to evaluate Nusselt number for constant wall temperature using this online evaluator? To use this online evaluator for Nusselt number for constant wall temperature, enter Reynolds Number (Re) & Prandtl Number (Pr) and hit the calculate button.

FAQs on Nusselt number for constant wall temperature

What is the formula to find Nusselt number for constant wall temperature?

The formula of Nusselt number for constant wall temperature is expressed as Nusselt Number = 0.332*(Reynolds Number^0.5)*(Prandtl Number^0.333). Here is an example- 20.84686 = 0.332*(5000^0.5)*(0.7^0.333).

How to calculate Nusselt number for constant wall temperature?

With Reynolds Number (Re) & Prandtl Number (Pr) we can find Nusselt number for constant wall temperature using the formula - Nusselt Number = 0.332*(Reynolds Number^0.5)*(Prandtl Number^0.333).

What are the other ways to Calculate Nusselt Number?

Here are the different ways to Calculate Nusselt Number-

Nusselt Number=0.332*(Reynolds Number(x)^0.5)*(Prandtl Number^0.333)*(1-(Leading Edge Distance/Distance from Point to YY Axis)^0.75)^(-0.333)
Nusselt Number=(0.3387*(Reynolds Number^0.5)*(Prandtl Number^0.333))/((1+(0.0468/Prandtl Number)^(0.67))^0.25)
Nusselt Number=0.565*(Reynolds Number*Prandtl Number)^0.5

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Nusselt number for constant wall temperature Formula

​GoNusselt number if heating starts from distance Xo from leading edge Formula

​GoNusselt number for liquid metals and for silicones Formula

Nusselt number for constant wall temperature Example

Nusselt number for constant wall temperature Solution

Nusselt number for constant wall temperature Formula Elements

Other Formulas to find Nusselt Number

Other formulas in Laminar Flow category

How to Evaluate Nusselt number for constant wall temperature?

FAQs on Nusselt number for constant wall temperature

Variable Name

GoNusselt number if heating starts from distance Xo from leading edge Formula

GoNusselt number for liquid metals and for silicones Formula