Nusselt number with large aspect ratio and lower RL Calculator

✖Rayleigh number 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 [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) 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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Formula

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Nusselt number with large aspect ratio and lower RL

Formula

`"Nu"_{"L"} = 0.42*("RaL"^0.25)*("Pr"^0.012)*("h"/"L")^-0.3`

Example

`"0.212222"=0.42*(("0.35")^0.25)*(("0.7")^0.012)*("12000mm"/"3m")^-0.3`

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Nusselt number with large aspect ratio and lower RL Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nusselt Number(L) = 0.42*(Rayleigh number^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) - Nusselt number(L) is the ratio of convective to conductive heat transfer across a boundary.
Rayleigh number - Rayleigh number 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: 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)

(Calculation completed in 00.004 seconds)

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< 24 Nusselt Number Calculators

Nusselt number for medium aspect ratio

Go Nusselt Number(L) = (0.22*((Prandtl Number*Rayleigh number)/(0.2+Prandtl Number))^0.28)*(Height of Crack/Length)^-0.25

Nusselt Number based on Diameter for Horizontal Cylinders for Higher Ranges of GrPr

Go Nusselt number(d) = (((((Grashof Number(d)*Prandtl Number)/((1+((0.559/Prandtl Number)^(0.5625)))^(0.296)))^(.167))*(0.387))+0.60)^(2)

Nusselt number with large aspect ratio and lower RL

Go Nusselt Number(L) = 0.42*(Rayleigh number^0.25)*(Prandtl Number^0.012)*(Height of Crack/Length)^-0.3

Nusselt number for horizontal cylinders

Go Nusselt number(d) = (0.60+(0.387*((Grashof Number(d)*Prandtl Number)/((1+(0.559/Prandtl Number)^0.5625)^0.296))^0.167))^2

Nusselt number for all value of GrPr and constant wall temperature

Go Nusselt Number = (0.825+((0.387*((Grashof Number*Prandtl Number)^0.167))/((1+(0.492/Prandtl Number)^0.5625)^0.296)))^2

Nusselt number for all value of GrPr and constant heat flux

Go Nusselt Number = (0.825+((0.387*((Grashof Number*Prandtl Number)^0.167))/((1+(0.437/Prandtl Number)^0.5625)^0.296)))^2

Nusselt Number based on Diameter for Horizontal Cylinders

Go Nusselt number(d) = 0.36+((0.518*((Grashof Number(d)*Prandtl Number)^0.25))/((1+(0.559/Prandtl Number)^0.5625)^0.444))

Nusselt number for inclined plates with heated surface facing down

Go Nusselt Number = 0.56*((Grashof Number(e)*Prandtl Number(e)*cos(Angle))^0.25)

Nusselt number for both constant wall temperature and heat flux

Go Local Nusselt Number = 0.17*((Local Grashof Number*Nusselt Number*Prandtl Number)^0.25)

Nusselt number for small aspect ratio

Go Nusselt Number(L) = (0.18*((Prandtl Number*Rayleigh number)/(0.2+Prandtl Number))^0.29)

Nusselt Number based on Length for Rectangular Cavities

Go Nusselt Number(L) = 0.069*(Rayleigh number^0.333)*(Prandtl Number^0.074)

Nusselt Number based on Diameter for Liquid Metals

Go Nusselt number(d) = 0.53*((Grashof Number(d)*(Prandtl Number^2))^0.25)

Nusselt number for horizontal plate with constant heat flux

Go Nusselt Number = 0.16*((Grashof Number(e)*Prandtl Number(e))^0.333)

Nusselt number for higher value of GrPr

Go Average Nusselt Number = 0.59*(Grashof Number*Prandtl Number)^0.25

Nusselt number for horizontal plate with heated surface up

Go Nusselt Number = 0.13*(Grashof Number(e)*Prandtl Number(e))^0.333

Nusselt number for inclined plate with constant heat flux

Go Nusselt Number = 0.58*((Grashof Number(e)*Prandtl Number(e))^0.2)

Nusselt number for heated surface down

Go Nusselt Number = 0.58*((Grashof Number(e)*Prandtl Number(e))^0.2)

Nusselt number for sphere with Pr equal to 1

Go Nusselt Number = 2+0.43*(Grashof Number(d)*Prandtl Number)^0.25

Nusselt number for sphere

Go Nusselt Number = 2+0.50*(Grashof Number(d)*Prandtl Number)^0.25

Nusselt number for turbulent flow

Go Nusselt Number = 0.10*((Grashof Number*Prandtl Number)^0.333)

Nusselt number for horizontal plate with upper surface heated or lower surface cooled

Go Nusselt Number = 0.54*((Grashof Number*Prandtl Number)^0.25)

Nusselt number for horizontal plate with upper surface cooled or lower surface heated

Go Nusselt Number = 0.27*((Grashof Number*Prandtl Number)^0.25)

Nusselt number for horizontal plate with constant wall temperature

Go Nusselt Number = 0.15*(Grashof Number*Prandtl Number)^0.333

Nusselt number with large aspect ratio and higher RL

Go Nusselt Number(L) = 0.046*Rayleigh number^0.333

Nusselt number with large aspect ratio and lower RL Formula

Nusselt Number(L) = 0.42*(Rayleigh number^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) = 0.42*(Rayleigh number^0.25)*(Prandtl Number^0.012)*(Height of Crack/Length)^-0.3 to calculate the Nusselt Number(L), 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) 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 (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 -> 0.212169 = 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) = 0.42*(Rayleigh number^0.25)*(Prandtl Number^0.012)*(Height of Crack/Length)^-0.3. Rayleigh number 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) = 0.42*(Rayleigh number^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 (RaL), Prandtl Number (Pr), Height of Crack (h) & Length (L). With our tool, you need to enter the respective value for Rayleigh number, 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)?

In this formula, Nusselt Number(L) uses Rayleigh number, Prandtl Number, Height of Crack & Length. We can use 4 other way(s) to calculate the same, which is/are as follows -

Nusselt Number(L) = 0.069*(Rayleigh number^0.333)*(Prandtl Number^0.074)
Nusselt Number(L) = (0.22*((Prandtl Number*Rayleigh number)/(0.2+Prandtl Number))^0.28)*(Height of Crack/Length)^-0.25
Nusselt Number(L) = (0.18*((Prandtl Number*Rayleigh number)/(0.2+Prandtl Number))^0.29)
Nusselt Number(L) = 0.046*Rayleigh number^0.333

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