Nusselt number with large aspect ratio and higher 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]

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

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Formula

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Nusselt number with large aspect ratio and higher RL

Formula

`"Nu"_{"L"} = 0.046*"RaL"^0.333`

Example

`"0.032429"=0.046*("0.35")^0.333`

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Nusselt number with large aspect ratio and higher RL Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nusselt Number(L) = 0.046*Rayleigh number^0.333
Nu_L = 0.046*RaL^0.333
This formula uses 2 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.

STEP 1: Convert Input(s) to Base Unit

Rayleigh number: 0.35 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Nu_L = 0.046*RaL^0.333 --> 0.046*0.35^0.333

Evaluating ... ...

Nu_L = 0.032428920381495

STEP 3: Convert Result to Output's Unit

0.032428920381495 --> No Conversion Required

FINAL ANSWER

0.032428920381495 ≈ 0.032429 <-- Nusselt Number(L)

(Calculation completed in 00.004 seconds)

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Created by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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University Institute of Technology RGPV (UIT - RGPV), Bhopal

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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 higher RL Formula

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

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 higher RL?

Nusselt number with large aspect ratio and higher RL calculator uses Nusselt Number(L) = 0.046*Rayleigh number^0.333 to calculate the Nusselt Number(L), The Nusselt number with large aspect ratio and higher 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 higher RL using this online calculator? To use this online calculator for Nusselt number with large aspect ratio and higher RL, enter Rayleigh number (RaL) and hit the calculate button. Here is how the Nusselt number with large aspect ratio and higher RL calculation can be explained with given input values -> 0.032429 = 0.046*0.35^0.333.

FAQ

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

The Nusselt number with large aspect ratio and higher RL formula is defined as the ratio of convective to conductive heat transfer across a boundary and is represented as Nu_L = 0.046*RaL^0.333 or Nusselt Number(L) = 0.046*Rayleigh number^0.333. 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.

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

The Nusselt number with large aspect ratio and higher RL formula is defined as the ratio of convective to conductive heat transfer across a boundary is calculated using Nusselt Number(L) = 0.046*Rayleigh number^0.333. To calculate Nusselt number with large aspect ratio and higher RL, you need Rayleigh number (RaL). With our tool, you need to enter the respective value for Rayleigh number 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. 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) = 0.42*(Rayleigh number^0.25)*(Prandtl Number^0.012)*(Height of Crack/Length)^-0.3

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