Nusselt Number based on Length for Rectangular Cavities 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%

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

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Free convection Formula PDF PDF Image

Nusselt Number based on Length for Rectangular Cavities Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nusselt Number(L) Based on Length = 0.069*(Rayleigh Number Based on Length^0.333)*(Prandtl Number^0.074)
Nu_L = 0.069*(RaL^0.333)*(Pr^0.074)
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.
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.

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Nu_L = 0.069*(RaL^0.333)*(Pr^0.074) --> 0.069*(0.35^0.333)*(0.7^0.074)

Evaluating ... ...

Nu_L = 0.047376285200991

STEP 3: Convert Result to Output's Unit

0.047376285200991 --> No Conversion Required

FINAL ANSWER

0.047376285200991 ≈ 0.047376 <-- Nusselt Number(L) Based on Length

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Heat and Mass Transfer » Convection » Free convection » Mechanical » Nusselt Number » Nusselt Number based on Length for Rectangular Cavities

Credits

Created by Nishan Poojary

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

Nishan Poojary has created this Calculator and 500+ more calculators!

Verified by Rajat Vishwakarma

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

Rajat Vishwakarma has verified this Calculator and 400+ more calculators!

< Nusselt Number Calculators

Nusselt number for all value of GrPr and constant wall temperature

LaTeX 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

LaTeX 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

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

Nusselt number for turbulent flow

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

Nusselt Number based on Length for Rectangular Cavities Formula

LaTeX Go

Nusselt Number(L) Based on Length = 0.069*(Rayleigh Number Based on Length^0.333)*(Prandtl Number^0.074)
Nu_L = 0.069*(RaL^0.333)*(Pr^0.074)

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 based on Length for Rectangular Cavities?

Nusselt Number based on Length for Rectangular Cavities calculator uses Nusselt Number(L) Based on Length = 0.069*(Rayleigh Number Based on Length^0.333)*(Prandtl Number^0.074) to calculate the Nusselt Number(L) Based on Length, The Nusselt Number based on Length for Rectangular Cavities 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 based on Length for Rectangular Cavities using this online calculator? To use this online calculator for Nusselt Number based on Length for Rectangular Cavities, enter Rayleigh Number Based on Length (RaL) & Prandtl Number (Pr) and hit the calculate button. Here is how the Nusselt Number based on Length for Rectangular Cavities calculation can be explained with given input values -> 0.047376 = 0.069*(0.35^0.333)*(0.7^0.074).

FAQ

What is Nusselt Number based on Length for Rectangular Cavities?

The Nusselt Number based on Length for Rectangular Cavities formula is defined as the ratio of convective to conductive heat transfer across a boundary and is represented as Nu_L = 0.069*(RaL^0.333)*(Pr^0.074) or Nusselt Number(L) Based on Length = 0.069*(Rayleigh Number Based on Length^0.333)*(Prandtl Number^0.074). 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.

How to calculate Nusselt Number based on Length for Rectangular Cavities?

The Nusselt Number based on Length for Rectangular Cavities formula is defined as the ratio of convective to conductive heat transfer across a boundary is calculated using Nusselt Number(L) Based on Length = 0.069*(Rayleigh Number Based on Length^0.333)*(Prandtl Number^0.074). To calculate Nusselt Number based on Length for Rectangular Cavities, you need Rayleigh Number Based on Length (RaL) & Prandtl Number (Pr). With our tool, you need to enter the respective value for Rayleigh Number Based on Length & Prandtl 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) Based on Length?

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

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)
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

Home

FREE PDFs

🔍 Search