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

✖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%
✖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 [Ra_l]			+10% -10%
✖Length is the measurement or extent of something from end to end.ⓘ Length [L]			+10% -10%

✖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 based on turbulence for annular space between concentric cylinders [Ra_c]

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

STEP 0: Pre-Calculation Summary

Formula Used

Rayleigh Number(t) = ((((ln(Outer Diameter/Inner Diameter))^4)*(Rayleigh Number))/((Length^3)*((Inner Diameter^-0.6)+(Outer Diameter^-0.6))^5))
Ra_c = ((((ln(d_o/d_i))^4)*(Ra_l))/((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(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.
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.
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.

STEP 1: Convert Input(s) to Base Unit

Outer Diameter: 0.26 Meter --> 0.26 Meter No Conversion Required
Inner Diameter: 35 Meter --> 35 Meter No Conversion Required
Rayleigh Number: 0.25 --> No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Ra_c = ((((ln(d_o/d_i))^4)*(Ra_l))/((L^3)*((d_i^-0.6)+(d_o^-0.6))^5)) --> ((((ln(0.26/35))^4)*(0.25))/((3^3)*((35^-0.6)+(0.26^-0.6))^5))

Evaluating ... ...

Ra_c = 0.0726829132320243

STEP 3: Convert Result to Output's Unit

0.0726829132320243 --> No Conversion Required

FINAL ANSWER

0.0726829132320243 ≈ 0.072683 <-- Rayleigh Number(t)

(Calculation completed in 00.020 seconds)

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< 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 turbulence 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 turbulence for annular space between concentric cylinders?

Rayleigh number based on turbulence for annular space between concentric cylinders calculator uses Rayleigh Number(t) = ((((ln(Outer Diameter/Inner Diameter))^4)*(Rayleigh Number))/((Length^3)*((Inner Diameter^-0.6)+(Outer Diameter^-0.6))^5)) to calculate the Rayleigh Number(t), The Rayleigh number based on turbulence 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 of temperature and density at the top and bottom. Rayleigh Number(t) is denoted by Ra_c symbol.

How to calculate Rayleigh number based on turbulence for annular space between concentric cylinders using this online calculator? To use this online calculator for Rayleigh number based on turbulence for annular space between concentric cylinders, enter Outer Diameter (d_o), Inner Diameter (d_i), Rayleigh Number (Ra_l) & Length (L) and hit the calculate button. Here is how the Rayleigh number based on turbulence for annular space between concentric cylinders calculation can be explained with given input values -> 0.072683 = ((((ln(0.26/35))^4)*(0.25))/((3^3)*((35^-0.6)+(0.26^-0.6))^5)).

FAQ

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

The Rayleigh number based on turbulence 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 of temperature and density at the top and bottom and is represented as Ra_c = ((((ln(d_o/d_i))^4)*(Ra_l))/((L^3)*((d_i^-0.6)+(d_o^-0.6))^5)) or Rayleigh Number(t) = ((((ln(Outer Diameter/Inner Diameter))^4)*(Rayleigh Number))/((Length^3)*((Inner Diameter^-0.6)+(Outer Diameter^-0.6))^5)). 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, 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 & Length is the measurement or extent of something from end to end.

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

The Rayleigh number based on turbulence 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 of temperature and density at the top and bottom is calculated using Rayleigh Number(t) = ((((ln(Outer Diameter/Inner Diameter))^4)*(Rayleigh Number))/((Length^3)*((Inner Diameter^-0.6)+(Outer Diameter^-0.6))^5)). To calculate Rayleigh number based on turbulence for annular space between concentric cylinders, you need Outer Diameter (d_o), Inner Diameter (d_i), Rayleigh Number (Ra_l) & Length (L). With our tool, you need to enter the respective value for Outer Diameter, Inner Diameter, Rayleigh Number & 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 Rayleigh Number(t)?

In this formula, Rayleigh Number(t) uses Outer Diameter, Inner Diameter, Rayleigh Number & Length. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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