Nusselt number for small aspect ratio Calculator

✖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%
✖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%

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

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Formula

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Nusselt number for small aspect ratio

Formula

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

Example

0.123424 = (0.18 \cdot {(\frac{0.7 \cdot 0.35}{0.2 + 0.7})}^{0.29})

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Nusselt number for small aspect ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nusselt Number(L) Based on Length = (0.18*((Prandtl Number*Rayleigh Number Based on Length)/(0.2+Prandtl Number))^0.29)
Nu_L = (0.18*((Pr*RaL)/(0.2+Pr))^0.29)
This formula uses 3 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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Prandtl Number: 0.7 --> No Conversion Required
Rayleigh Number Based on Length: 0.35 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Nu_L = (0.18*((Pr*RaL)/(0.2+Pr))^0.29) --> (0.18*((0.7*0.35)/(0.2+0.7))^0.29)

Evaluating ... ...

Nu_L = 0.123424205940313

STEP 3: Convert Result to Output's Unit

0.123424205940313 --> No Conversion Required

FINAL ANSWER

0.123424205940313 ≈ 0.123424 <-- Nusselt Number(L) Based on Length

(Calculation completed in 00.004 seconds)

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< Nusselt Number Calculators

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 for higher value of GrPr

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

Nusselt number for turbulent flow

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

Nusselt number for small aspect ratio Formula

Nusselt Number(L) Based on Length = (0.18*((Prandtl Number*Rayleigh Number Based on Length)/(0.2+Prandtl Number))^0.29)
Nu_L = (0.18*((Pr*RaL)/(0.2+Pr))^0.29)

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 for small aspect ratio?

Nusselt number for small aspect ratio calculator uses Nusselt Number(L) Based on Length = (0.18*((Prandtl Number*Rayleigh Number Based on Length)/(0.2+Prandtl Number))^0.29) to calculate the Nusselt Number(L) Based on Length, The Nusselt number for small 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 calculate Nusselt number for small aspect ratio using this online calculator? To use this online calculator for Nusselt number for small aspect ratio, enter Prandtl Number (Pr) & Rayleigh Number Based on Length (RaL) and hit the calculate button. Here is how the Nusselt number for small aspect ratio calculation can be explained with given input values -> 0.123424 = (0.18*((0.7*0.35)/(0.2+0.7))^0.29).

FAQ

What is Nusselt number for small aspect ratio?

The Nusselt number for small aspect ratio formula is defined as the ratio of convective to conductive heat transfer across a boundary and is represented as Nu_L = (0.18*((Pr*RaL)/(0.2+Pr))^0.29) or Nusselt Number(L) Based on Length = (0.18*((Prandtl Number*Rayleigh Number Based on Length)/(0.2+Prandtl Number))^0.29). 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 & 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.

How to calculate Nusselt number for small aspect ratio?

The Nusselt number for small aspect ratio formula is defined as the ratio of convective to conductive heat transfer across a boundary is calculated using Nusselt Number(L) Based on Length = (0.18*((Prandtl Number*Rayleigh Number Based on Length)/(0.2+Prandtl Number))^0.29). To calculate Nusselt number for small aspect ratio, you need Prandtl Number (Pr) & Rayleigh Number Based on Length (RaL). With our tool, you need to enter the respective value for Prandtl Number & Rayleigh Number Based on 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 Prandtl Number & Rayleigh Number Based on 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 = 0.42*(Rayleigh Number Based on Length^0.25)*(Prandtl Number^0.012)*(Height of Crack/Length)^-0.3

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