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Nusselt number with large aspect ratio and lower RL Formula

GoNusselt Number based on Length for Rectangular Cavities Formula

GoNusselt number for medium aspect ratio Formula

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Nusselt Number(L) Based on Length is the ratio of convective to conductive heat transfer across a boundary. Check FAQs

Nu L = 0.42 \cdot ({RaL}^{0.25}) \cdot ({Pr}^{0.012}) \cdot {(\frac{h}{L})}^{- 0.3}

Nu_L - Nusselt Number(L) Based on Length?RaL - Rayleigh Number Based on Length?Pr - Prandtl Number?h - Height of Crack?L - Length?

Nusselt number with large aspect ratio and lower RL Example

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Here is how the Nusselt number with large aspect ratio and lower RL equation looks like with Values.

Here is how the Nusselt number with large aspect ratio and lower RL equation looks like with Units.

Here is how the Nusselt number with large aspect ratio and lower RL equation looks like.

0.2122 = 0.42 \cdot ({0.35}^{0.25}) \cdot ({0.7}^{0.012}) \cdot {(\frac{12000}{3})}^{- 0.3}

0.2122 = 0.42 \cdot ({0.35}^{0.25}) \cdot ({0.7}^{0.012}) \cdot {(\frac{12000mm}{3m})}^{- 0.3}

0.2122 = 0.42 \cdot ({0.35}^{0.25}) \cdot ({0.7}^{0.012}) \cdot {(\frac{12000}{3})}^{- 0.3}

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Nusselt number with large aspect ratio and lower RL Solution

Follow our step by step solution on how to calculate Nusselt number with large aspect ratio and lower RL?

FIRST Step Consider the formula

Nu L = 0.42 \cdot ({RaL}^{0.25}) \cdot ({Pr}^{0.012}) \cdot {(\frac{h}{L})}^{- 0.3}

Next Step Substitute values of Variables

∴

Nu L = 0.42 \cdot ({0.35}^{0.25}) \cdot ({0.7}^{0.012}) \cdot {(\frac{12000mm}{3m})}^{- 0.3}

Next Step Convert Units

∴

Nu L = 0.42 \cdot ({0.35}^{0.25}) \cdot ({0.7}^{0.012}) \cdot {(\frac{12m}{3m})}^{- 0.3}

Next Step Prepare to Evaluate

∴

Nu L = 0.42 \cdot ({0.35}^{0.25}) \cdot ({0.7}^{0.012}) \cdot {(\frac{12}{3})}^{- 0.3}

Next Step Evaluate

∴

Nu L = 0.212221549221007

LAST Step Rounding Answer

∴

Nu L = 0.2122

Nusselt number with large aspect ratio and lower RL Formula Elements

Variables

Nusselt Number(L) Based on Length

Nusselt Number(L) Based on Length is the ratio of convective to conductive heat transfer across a boundary.

Symbol: Nu_L

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Nusselt Number(L) Based on Length

Rayleigh Number Based on Length

Rayleigh Number Based on Length is a dimensionless parameter that is a measure of the instability of a layer of fluid due to differences of temperature and density at the top and bottom.

Symbol: RaL

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Rayleigh Number Based on Length

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

Height of Crack

Height of Crack is the size of a flaw or crack in a material that can lead to catastrophic failure under a given stress.

Symbol: h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Height of Crack

Length

Length is the measurement or extent of something from end to end.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length

Other Formulas to find Nusselt Number(L) Based on Length

Go Nusselt Number based on Length for Rectangular Cavities

Nu L = 0.069 \cdot ({RaL}^{0.333}) \cdot ({Pr}^{0.074})

Go Nusselt number for medium aspect ratio

Nu L = (0.22 \cdot {(\frac{Pr \cdot RaL}{0.2 + Pr})}^{0.28}) \cdot {(\frac{h}{L})}^{- 0.25}

Go Nusselt number for small aspect ratio

Nu L = (0.18 \cdot {(\frac{Pr \cdot RaL}{0.2 + Pr})}^{0.29})

Go Nusselt number with large aspect ratio and higher RL

Nu L = 0.046 \cdot {RaL}^{0.333}

Other formulas in Nusselt Number category

Go Nusselt number for higher value of GrPr

Nu avg L = 0.59 \cdot {(G \cdot Pr)}^{0.25}

Go Nusselt number for all value of GrPr and constant heat flux

Nu = {(0.825 + (\frac{0.387 \cdot ({(G \cdot Pr)}^{0.167})}{{(1 + {(\frac{0.437}{Pr})}^{0.5625})}^{0.296}}))}^{2}

Go Nusselt number for all value of GrPr and constant wall temperature

Nu = {(0.825 + (\frac{0.387 \cdot ({(G \cdot Pr)}^{0.167})}{{(1 + {(\frac{0.492}{Pr})}^{0.5625})}^{0.296}}))}^{2}

Go Nusselt number for turbulent flow

Nu = 0.10 \cdot ({(G \cdot Pr)}^{0.333})

How to Evaluate Nusselt number with large aspect ratio and lower RL?

Nusselt number with large aspect ratio and lower RL evaluator uses Nusselt Number(L) Based on Length = 0.42*(Rayleigh Number Based on Length^0.25)*(Prandtl Number^0.012)*(Height of Crack/Length)^-0.3 to evaluate the Nusselt Number(L) Based on Length, The Nusselt number with large aspect ratio and lower RL formula is defined as the ratio of convective to conductive heat transfer across a boundary. Nusselt Number(L) Based on Length is denoted by Nu_L symbol.

How to evaluate Nusselt number with large aspect ratio and lower RL using this online evaluator? To use this online evaluator for Nusselt number with large aspect ratio and lower RL, enter Rayleigh Number Based on Length (RaL), Prandtl Number (Pr), Height of Crack (h) & Length (L) and hit the calculate button.

FAQs on Nusselt number with large aspect ratio and lower RL

What is the formula to find Nusselt number with large aspect ratio and lower RL?

The formula of Nusselt number with large aspect ratio and lower RL is expressed as Nusselt Number(L) Based on Length = 0.42*(Rayleigh Number Based on Length^0.25)*(Prandtl Number^0.012)*(Height of Crack/Length)^-0.3. Here is an example- 0.212222 = 0.42*(0.35^0.25)*(0.7^0.012)*(12/3)^-0.3.

How to calculate Nusselt number with large aspect ratio and lower RL?

With Rayleigh Number Based on Length (RaL), Prandtl Number (Pr), Height of Crack (h) & Length (L) we can find Nusselt number with large aspect ratio and lower RL using the formula - Nusselt Number(L) Based on Length = 0.42*(Rayleigh Number Based on Length^0.25)*(Prandtl Number^0.012)*(Height of Crack/Length)^-0.3.

What are the other ways to Calculate Nusselt Number(L) Based on Length?

Here are the different ways to Calculate Nusselt Number(L) Based on Length-

Nusselt Number(L) Based on Length=0.069*(Rayleigh Number Based on Length^0.333)*(Prandtl Number^0.074)
Nusselt Number(L) Based on Length=(0.22*((Prandtl Number*Rayleigh Number Based on Length)/(0.2+Prandtl Number))^0.28)*(Height of Crack/Length)^-0.25
Nusselt Number(L) Based on Length=(0.18*((Prandtl Number*Rayleigh Number Based on Length)/(0.2+Prandtl Number))^0.29)

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: Unit

Nusselt number with large aspect ratio and lower RL Formula

​GoNusselt Number based on Length for Rectangular Cavities Formula

​GoNusselt number for medium aspect ratio Formula

Nusselt number with large aspect ratio and lower RL Example

Nusselt number with large aspect ratio and lower RL Solution

Nusselt number with large aspect ratio and lower RL Formula Elements

Other Formulas to find Nusselt Number(L) Based on Length

Other formulas in Nusselt Number category

How to Evaluate Nusselt number with large aspect ratio and lower RL?

FAQs on Nusselt number with large aspect ratio and lower RL

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GoNusselt Number based on Length for Rectangular Cavities Formula

GoNusselt number for medium aspect ratio Formula