Rayleigh number based on length for annular space between concentric cylinders Calculator

✖Rayleigh Number(t) 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(t) [Ra_c]			+10% -10%
✖The Outer Diameter is the diameter of outer edge of circular hollow shaft.ⓘ Outer Diameter [d_o]			+10% -10%
✖The Inner Diameter is the diameter of inner circle of circular hollow shaft.ⓘ Inner Diameter [d_i]			+10% -10%
✖Length is the measurement or extent of something from end to end.ⓘ Length [L]			+10% -10%

✖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 based on length for annular space between concentric cylinders [Ra_l]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Rayleigh and Reynolds Number Formulas PDF PDF Image

Rayleigh number based on length for annular space between concentric cylinders Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rayleigh Number = Rayleigh Number(t)/((((ln(Outer Diameter/Inner Diameter))^4))/((Length^3)*((Inner Diameter^-0.6)+(Outer Diameter^-0.6))^5))
Ra_l = Ra_c/((((ln(d_o/d_i))^4))/((L^3)*((d_i^-0.6)+(d_o^-0.6))^5))
This formula uses 1 Functions, 5 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

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.
Rayleigh Number(t) - Rayleigh Number(t) 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.
Outer Diameter - (Measured in Meter) - The Outer Diameter is the diameter of outer edge of circular hollow shaft.
Inner Diameter - (Measured in Meter) - The Inner Diameter is the diameter of inner circle of circular hollow shaft.
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(t): 0.075 --> No Conversion Required
Outer Diameter: 0.26 Meter --> 0.26 Meter No Conversion Required
Inner Diameter: 35 Meter --> 35 Meter No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Ra_l = Ra_c/((((ln(d_o/d_i))^4))/((L^3)*((d_i^-0.6)+(d_o^-0.6))^5)) --> 0.075/((((ln(0.26/35))^4))/((3^3)*((35^-0.6)+(0.26^-0.6))^5))

Evaluating ... ...

Ra_l = 0.257969846917731

STEP 3: Convert Result to Output's Unit

0.257969846917731 --> No Conversion Required

FINAL ANSWER

0.257969846917731 ≈ 0.25797 <-- Rayleigh Number

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Heat and Mass Transfer » Convection » Free convection » Mechanical » Rayleigh and Reynolds Number » Rayleigh number based on length for annular space between concentric cylinders

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 Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< Rayleigh and Reynolds Number Calculators

Rayleigh number based on turbulence for annular space between concentric cylinders

LaTeX Go Rayleigh Number(t) = ((((ln(Outer Diameter/Inner Diameter))^4)*(Rayleigh Number))/((Length^3)*((Inner Diameter^-0.6)+(Outer Diameter^-0.6))^5))

Rayleigh number based on length for annular space between concentric cylinders

LaTeX Go Rayleigh Number = Rayleigh Number(t)/((((ln(Outer Diameter/Inner Diameter))^4))/((Length^3)*((Inner Diameter^-0.6)+(Outer Diameter^-0.6))^5))

Rayleigh number based on turbulence for concentric spheres

LaTeX Go Rayleigh Number(t) = ((Length*Rayleigh Number)/(((Inside Diameter*Outside Diameter)^4)*(((Inside Diameter^-1.4)+(Outside Diameter^-1.4))^5)))^0.25

Reynolds Number given Graetz Number

LaTeX Go Reynolds Number Based on Length = Graetz Number*Length/(Prandtl Number*Diameter)

Rayleigh number based on length for annular space between concentric cylinders Formula

LaTeX Go

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 Rayleigh number based on length for annular space between concentric cylinders?

Rayleigh number based on length for annular space between concentric cylinders calculator uses Rayleigh Number = Rayleigh Number(t)/((((ln(Outer Diameter/Inner Diameter))^4))/((Length^3)*((Inner Diameter^-0.6)+(Outer Diameter^-0.6))^5)) to calculate the Rayleigh Number, The Rayleigh number based on length for annular space between concentric cylinders formula is defined as a dimensionless parameter that is a measure of the instability of a layer of fluid due to differences in temperature and density at the top and bottom. Rayleigh Number is denoted by Ra_l symbol.

How to calculate Rayleigh number based on length for annular space between concentric cylinders using this online calculator? To use this online calculator for Rayleigh number based on length for annular space between concentric cylinders, enter Rayleigh Number(t) (Ra_c), Outer Diameter (d_o), Inner Diameter (d_i) & Length (L) and hit the calculate button. Here is how the Rayleigh number based on length for annular space between concentric cylinders calculation can be explained with given input values -> 2.063759 = 0.075/((((ln(0.26/35))^4))/((3^3)*((35^-0.6)+(0.26^-0.6))^5)).

FAQ

What is Rayleigh number based on length for annular space between concentric cylinders?

The Rayleigh number based on length for annular space between concentric cylinders formula is defined as a dimensionless parameter that is a measure of the instability of a layer of fluid due to differences in temperature and density at the top and bottom and is represented as Ra_l = Ra_c/((((ln(d_o/d_i))^4))/((L^3)*((d_i^-0.6)+(d_o^-0.6))^5)) or Rayleigh Number = Rayleigh Number(t)/((((ln(Outer Diameter/Inner Diameter))^4))/((Length^3)*((Inner Diameter^-0.6)+(Outer Diameter^-0.6))^5)). Rayleigh Number(t) 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 Outer Diameter is the diameter of outer edge of circular hollow shaft, The Inner Diameter is the diameter of inner circle of circular hollow shaft & Length is the measurement or extent of something from end to end.

How to calculate Rayleigh number based on length for annular space between concentric cylinders?

The Rayleigh number based on length for annular space between concentric cylinders formula is defined as a dimensionless parameter that is a measure of the instability of a layer of fluid due to differences in temperature and density at the top and bottom is calculated using Rayleigh Number = Rayleigh Number(t)/((((ln(Outer Diameter/Inner Diameter))^4))/((Length^3)*((Inner Diameter^-0.6)+(Outer Diameter^-0.6))^5)). To calculate Rayleigh number based on length for annular space between concentric cylinders, you need Rayleigh Number(t) (Ra_c), Outer Diameter (d_o), Inner Diameter (d_i) & Length (L). With our tool, you need to enter the respective value for Rayleigh Number(t), Outer Diameter, Inner Diameter & Length and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search