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

GoNusselt number for constant wall temperature 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 x}^{0.5}) \cdot ({Pr}^{0.333}) \cdot {(1 - {(\frac{xo}{x})}^{0.75})}^{- 0.333}

Nu - Nusselt Number?Re_x - Reynolds Number(x)?Pr - Prandtl Number?xo - Leading Edge Distance?x - Distance from Point to YY Axis?

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

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Here is how the Nusselt number if heating starts from distance Xo from leading edge equation looks like with Values.

Here is how the Nusselt number if heating starts from distance Xo from leading edge equation looks like with Units.

Here is how the Nusselt number if heating starts from distance Xo from leading edge equation looks like.

2.2986 = 0.332 \cdot ({8.314}^{0.5}) \cdot ({0.7}^{0.333}) \cdot {(1 - {(\frac{1.4}{1.5})}^{0.75})}^{- 0.333}

2.2986 = 0.332 \cdot ({8.314}^{0.5}) \cdot ({0.7}^{0.333}) \cdot {(1 - {(\frac{1.4m}{1.5m})}^{0.75})}^{- 0.333}

2.2986 = 0.332 \cdot ({8.314}^{0.5}) \cdot ({0.7}^{0.333}) \cdot {(1 - {(\frac{1.4}{1.5})}^{0.75})}^{- 0.333}

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

Follow our step by step solution on how to calculate Nusselt number if heating starts from distance Xo from leading edge?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Nu = 0.332 \cdot ({8.314}^{0.5}) \cdot ({0.7}^{0.333}) \cdot {(1 - {(\frac{1.4m}{1.5m})}^{0.75})}^{- 0.333}

Next Step Prepare to Evaluate

∴

Nu = 0.332 \cdot ({8.314}^{0.5}) \cdot ({0.7}^{0.333}) \cdot {(1 - {(\frac{1.4}{1.5})}^{0.75})}^{- 0.333}

Next Step Evaluate

∴

Nu = 2.29862993688348

LAST Step Rounding Answer

∴

Nu = 2.2986

Nusselt number if heating starts from distance Xo from leading edge 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(x)

Reynolds number(x) at a distance X from the leading edge.

Symbol: Re_x

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Reynolds Number(x)

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

Leading Edge Distance

Leading Edge Distance is the distance between point X and where the heating starts.

Symbol: xo

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Leading Edge Distance

Distance from Point to YY Axis

Distance from Point to YY Axis is the distance from the point to the YY axis where stress is to be computed.

Symbol: x

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance from Point to YY Axis

Other Formulas to find Nusselt Number

Go Nusselt number for constant wall temperature

Nu = 0.332 \cdot ({Re}^{0.5}) \cdot ({Pr}^{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 if heating starts from distance Xo from leading edge?

Nusselt number if heating starts from distance Xo from leading edge evaluator uses 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) to evaluate the Nusselt Number, Nusselt number if heating starts from distance Xo from leading edge formula is defined as a dimensionless quantity that characterizes convective heat transfer at a point on a flat plate, where heating starts at a certain distance from the leading edge, and is used to analyze heat transfer in various engineering applications. Nusselt Number is denoted by Nu symbol.

How to evaluate Nusselt number if heating starts from distance Xo from leading edge using this online evaluator? To use this online evaluator for Nusselt number if heating starts from distance Xo from leading edge, enter Reynolds Number(x) (Re_x), Prandtl Number (Pr), Leading Edge Distance (xo) & Distance from Point to YY Axis (x) and hit the calculate button.

FAQs on Nusselt number if heating starts from distance Xo from leading edge

What is the formula to find Nusselt number if heating starts from distance Xo from leading edge?

The formula of Nusselt number if heating starts from distance Xo from leading edge is expressed as 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). Here is an example- 2.231149 = 0.332*(8.314^0.5)*(0.7^0.333)*(1-(1.4/1.5)^0.75)^(-0.333).

How to calculate Nusselt number if heating starts from distance Xo from leading edge?

With Reynolds Number(x) (Re_x), Prandtl Number (Pr), Leading Edge Distance (xo) & Distance from Point to YY Axis (x) we can find Nusselt number if heating starts from distance Xo from leading edge using the formula - 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).

What are the other ways to Calculate Nusselt Number?

Here are the different ways to Calculate Nusselt Number-

Nusselt Number=0.332*(Reynolds Number^0.5)*(Prandtl Number^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 if heating starts from distance Xo from leading edge Formula

​GoNusselt number for constant wall temperature Formula

​GoNusselt number for liquid metals and for silicones Formula

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

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

Nusselt number if heating starts from distance Xo from leading edge Formula Elements

Other Formulas to find Nusselt Number

Other formulas in Laminar Flow category

How to Evaluate Nusselt number if heating starts from distance Xo from leading edge?

FAQs on Nusselt number if heating starts from distance Xo from leading edge

Variable Name

GoNusselt number for constant wall temperature Formula

GoNusselt number for liquid metals and for silicones Formula