Rayleigh number based on turbulence for concentric spheres Calculator

✖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 [RaL]			+10% -10%
✖Inside diameter is the diameter of the inside surface.ⓘ Inside Diameter [D_i]			+10% -10%
✖Outside Diameter is the diameter of the outside surface.ⓘ Outside Diameter [D_o]			+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 concentric spheres [RaC]

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Formula

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Rayleigh number based on turbulence for concentric spheres

Formula

`"RaC" = (("L"*"RaL")/((("D"_{"i"}*"D"_{"o"})^4)*((("D"_{"i"}^-1.4)+("D"_{"o"}^-1.4))^5)))^0.25`

Example

`"0.333296"=(("3m"*"0.25")/((("0.005m"*"0.05m")^4)*(((("0.005m")^-1.4)+(("0.05m")^-1.4))^5)))^0.25`

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Rayleigh number based on turbulence for concentric spheres Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rayleigh Number(t) = ((Length*Rayleigh number)/(((Inside Diameter*Outside Diameter)^4)*(((Inside Diameter^-1.4)+(Outside Diameter^-1.4))^5)))^0.25
RaC = ((L*RaL)/(((D_i*D_o)^4)*(((D_i^-1.4)+(D_o^-1.4))^5)))^0.25
This formula uses 5 Variables

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.
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.
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.
Inside Diameter - (Measured in Meter) - Inside diameter is the diameter of the inside surface.
Outside Diameter - (Measured in Meter) - Outside Diameter is the diameter of the outside surface.

STEP 1: Convert Input(s) to Base Unit

Length: 3 Meter --> 3 Meter No Conversion Required
Rayleigh number: 0.25 --> No Conversion Required
Inside Diameter: 0.005 Meter --> 0.005 Meter No Conversion Required
Outside Diameter: 0.05 Meter --> 0.05 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

RaC = ((L*RaL)/(((D_i*D_o)^4)*(((D_i^-1.4)+(D_o^-1.4))^5)))^0.25 --> ((3*0.25)/(((0.005*0.05)^4)*(((0.005^-1.4)+(0.05^-1.4))^5)))^0.25

Evaluating ... ...

RaC = 0.333295886104076

STEP 3: Convert Result to Output's Unit

0.333295886104076 --> No Conversion Required

FINAL ANSWER

0.333295886104076 ≈ 0.333296 <-- Rayleigh Number(t)

(Calculation completed in 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » Convection » Free convection » Rayleigh and Reynolds Number » Rayleigh number based on turbulence for concentric spheres

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< 5 Rayleigh and Reynolds Number Calculators

Rayleigh number based on turbulence for annular space between concentric cylinders

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

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

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 Rotational Speed

Go Reynolds Number(w) = Rotational speed*pi*(Diameter^2)/Kinematic Viscosity

Reynolds Number given Graetz Number

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

Rayleigh number based on turbulence for concentric spheres Formula

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 concentric spheres?

Rayleigh number based on turbulence for concentric spheres calculator uses Rayleigh Number(t) = ((Length*Rayleigh number)/(((Inside Diameter*Outside Diameter)^4)*(((Inside Diameter^-1.4)+(Outside Diameter^-1.4))^5)))^0.25 to calculate the Rayleigh Number(t), The Rayleigh number based on turbulence for concentric spheres 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 RaC symbol.

How to calculate Rayleigh number based on turbulence for concentric spheres using this online calculator? To use this online calculator for Rayleigh number based on turbulence for concentric spheres, enter Length (L), Rayleigh number (RaL), Inside Diameter (D_i) & Outside Diameter (D_o) and hit the calculate button. Here is how the Rayleigh number based on turbulence for concentric spheres calculation can be explained with given input values -> 0.333296 = ((3*0.25)/(((0.005*0.05)^4)*(((0.005^-1.4)+(0.05^-1.4))^5)))^0.25.

FAQ

What is Rayleigh number based on turbulence for concentric spheres?

The Rayleigh number based on turbulence for concentric spheres 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 RaC = ((L*RaL)/(((D_i*D_o)^4)*(((D_i^-1.4)+(D_o^-1.4))^5)))^0.25 or Rayleigh Number(t) = ((Length*Rayleigh number)/(((Inside Diameter*Outside Diameter)^4)*(((Inside Diameter^-1.4)+(Outside Diameter^-1.4))^5)))^0.25. Length is the measurement or extent of something from end to end, 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, Inside diameter is the diameter of the inside surface & Outside Diameter is the diameter of the outside surface.

How to calculate Rayleigh number based on turbulence for concentric spheres?

The Rayleigh number based on turbulence for concentric spheres 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) = ((Length*Rayleigh number)/(((Inside Diameter*Outside Diameter)^4)*(((Inside Diameter^-1.4)+(Outside Diameter^-1.4))^5)))^0.25. To calculate Rayleigh number based on turbulence for concentric spheres, you need Length (L), Rayleigh number (RaL), Inside Diameter (D_i) & Outside Diameter (D_o). With our tool, you need to enter the respective value for Length, Rayleigh number, Inside Diameter & Outside Diameter 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 Length, Rayleigh number, Inside Diameter & Outside Diameter. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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