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Nusselt number for medium aspect ratio Formula

GoNusselt Number based on Length for Rectangular Cavities Formula

GoNusselt number for small 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 = (0.22 \cdot {(\frac{Pr \cdot RaL}{0.2 + Pr})}^{0.28}) \cdot {(\frac{h}{L})}^{- 0.25}

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

Nusselt number for medium aspect ratio Example

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Here is how the Nusselt number for medium aspect ratio equation looks like with Values.

Here is how the Nusselt number for medium aspect ratio equation looks like with Units.

Here is how the Nusselt number for medium aspect ratio equation looks like.

0.1081 = (0.22 \cdot {(\frac{0.7 \cdot 0.35}{0.2 + 0.7})}^{0.28}) \cdot {(\frac{12000}{3})}^{- 0.25}

0.1081 = (0.22 \cdot {(\frac{0.7 \cdot 0.35}{0.2 + 0.7})}^{0.28}) \cdot {(\frac{12000mm}{3m})}^{- 0.25}

0.1081 = (0.22 \cdot {(\frac{0.7 \cdot 0.35}{0.2 + 0.7})}^{0.28}) \cdot {(\frac{12000}{3})}^{- 0.25}

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Nusselt number for medium aspect ratio Solution

Follow our step by step solution on how to calculate Nusselt number for medium aspect ratio?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Nu L = (0.22 \cdot {(\frac{0.7 \cdot 0.35}{0.2 + 0.7})}^{0.28}) \cdot {(\frac{12000mm}{3m})}^{- 0.25}

Next Step Convert Units

∴

Nu L = (0.22 \cdot {(\frac{0.7 \cdot 0.35}{0.2 + 0.7})}^{0.28}) \cdot {(\frac{12m}{3m})}^{- 0.25}

Next Step Prepare to Evaluate

∴

Nu L = (0.22 \cdot {(\frac{0.7 \cdot 0.35}{0.2 + 0.7})}^{0.28}) \cdot {(\frac{12}{3})}^{- 0.25}

Next Step Evaluate

∴

Nu L = 0.108065305106637

LAST Step Rounding Answer

∴

Nu L = 0.1081

Nusselt number for medium aspect ratio 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

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

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

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 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 lower RL

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

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 for medium aspect ratio?

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

FAQs on Nusselt number for medium aspect ratio

What is the formula to find Nusselt number for medium aspect ratio?

The formula of Nusselt number for medium aspect ratio is expressed as 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. Here is an example- 0.108065 = (0.22*((0.7*0.35)/(0.2+0.7))^0.28)*(12/3)^-0.25.

How to calculate Nusselt number for medium aspect ratio?

With Prandtl Number (Pr), Rayleigh Number Based on Length (RaL), Height of Crack (h) & Length (L) we can find Nusselt number for medium aspect ratio using the formula - 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.

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=(0.18*((Prandtl Number*Rayleigh Number Based on Length)/(0.2+Prandtl Number))^0.29)
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

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: Unit

Nusselt number for medium aspect ratio Formula

​GoNusselt Number based on Length for Rectangular Cavities Formula

​GoNusselt number for small aspect ratio Formula

Nusselt number for medium aspect ratio Example

Nusselt number for medium aspect ratio Solution

Nusselt number for medium aspect ratio Formula Elements

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

Other formulas in Nusselt Number category

How to Evaluate Nusselt number for medium aspect ratio?

FAQs on Nusselt number for medium aspect ratio

Variable Name

GoNusselt Number based on Length for Rectangular Cavities Formula

GoNusselt number for small aspect ratio Formula