Nusselt number with large aspect ratio and lower RL Calculator

✖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.ⓘ Rayleigh Number Based on Length [RaL]			+10% -10%
✖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.ⓘ Prandtl Number [Pr]			+10% -10%
✖Height of Crack is the size of a flaw or crack in a material that can lead to catastrophic failure under a given stress.ⓘ Height of Crack [h]			+10% -10%
✖Length is the measurement or extent of something from end to end.ⓘ Length [L]			+10% -10%

✖Nusselt Number(L) Based on Length is the ratio of convective to conductive heat transfer across a boundary.ⓘ Nusselt number with large aspect ratio and lower RL [Nu_L]

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Nusselt number with large aspect ratio and lower RL Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
Nu_L = 0.42*(RaL^0.25)*(Pr^0.012)*(h/L)^-0.3
This formula uses 5 Variables

Variables Used

Nusselt Number(L) Based on Length - Nusselt Number(L) Based on Length is the ratio of convective to conductive heat transfer across a boundary.
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.
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.
Height of Crack - (Measured in Meter) - Height of Crack is the size of a flaw or crack in a material that can lead to catastrophic failure under a given stress.
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.

STEP 1: Convert Input(s) to Base Unit

Rayleigh Number Based on Length: 0.35 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required
Height of Crack: 12000 Millimeter --> 12 Meter (Check conversion here)
Length: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Nu_L = 0.42*(RaL^0.25)*(Pr^0.012)*(h/L)^-0.3 --> 0.42*(0.35^0.25)*(0.7^0.012)*(12/3)^-0.3

Evaluating ... ...

Nu_L = 0.212221549221007

STEP 3: Convert Result to Output's Unit

0.212221549221007 --> No Conversion Required

FINAL ANSWER

0.212221549221007 ≈ 0.212222 <-- Nusselt Number(L) Based on Length

(Calculation completed in 00.004 seconds)

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Nusselt number with large aspect ratio and lower RL Formula

LaTeX Go

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
Nu_L = 0.42*(RaL^0.25)*(Pr^0.012)*(h/L)^-0.3

What is convection?

Convection is the process of heat transfer by the bulk movement of molecules within fluids such as gases and liquids. The initial heat transfer between the object and the fluid takes place through conduction, but the bulk heat transfer happens due to the motion of the fluid.

Convection is the process of heat transfer in fluids by the actual motion of matter.
It happens in liquids and gases.
It may be natural or forced.
It involves a bulk transfer of portions of the fluid.

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

Nusselt number with large aspect ratio and lower RL calculator 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 calculate 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 calculate Nusselt number with large aspect ratio and lower RL using this online calculator? To use this online calculator 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. Here is how the Nusselt number with large aspect ratio and lower RL calculation can be explained with given input values -> 0.212222 = 0.42*(0.35^0.25)*(0.7^0.012)*(12/3)^-0.3.

FAQ

What is Nusselt number with large aspect ratio and lower RL?

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 and is represented as Nu_L = 0.42*(RaL^0.25)*(Pr^0.012)*(h/L)^-0.3 or 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. 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, 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, Height of Crack is the size of a flaw or crack in a material that can lead to catastrophic failure under a given stress & Length is the measurement or extent of something from end to end.

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

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 is calculated using 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 calculate Nusselt number with large aspect ratio and lower RL, you need Rayleigh Number Based on Length (RaL), Prandtl Number (Pr), Height of Crack (h) & Length (L). With our tool, you need to enter the respective value for Rayleigh Number Based on Length, Prandtl Number, Height of Crack & Length and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Nusselt Number(L) Based on Length?

In this formula, Nusselt Number(L) Based on Length uses Rayleigh Number Based on Length, Prandtl Number, Height of Crack & Length. We can use 3 other way(s) to calculate the same, which is/are as follows -

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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