Length of annular space between two 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 [R_l]			+10% -10%

✖Length is the measurement or extent of something from end to end.ⓘ Length of annular space between two concentric cylinders [L]

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Length of annular space between two concentric cylinders Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.
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.

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: 0.0883 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = (((ln(d_o/d_i))^4*R_l)/((d_i^-0.6+d_o^-0.6)^5))^-3 --> (((ln(0.26/35))^4*0.0883)/((35^-0.6+0.26^-0.6)^5))^-3

Evaluating ... ...

L = 3.00296067156527

STEP 3: Convert Result to Output's Unit

3.00296067156527 Meter --> No Conversion Required

FINAL ANSWER

3.00296067156527 ≈ 3.002961 Meter <-- Length

(Calculation completed in 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » Convection » Free convection » Mechanical » Convective Flow Over Cylinder and Sphere » Length of annular space between two concentric cylinders

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< Convective Flow Over Cylinder and Sphere Calculators

Outside surface temperature for annular space between concentric cylinders

Go Outside Temperature = Inside Temperature-(Heat Transfer Per Unit Length*(ln(Outside Diameter/Inside Diameter))/(2*pi*Thermal Conductivity))

Inside surface temperature for annular space between concentric cylinders

Go Inside Temperature = (Heat Transfer Per Unit Length*(ln(Outside Diameter/Inside Diameter))/(2*pi*Thermal Conductivity))+Outside Temperature

Boundary layer thickness on vertical surfaces

Go Boundary Layer Thickness = 3.93*Distance From Point to YY Axis*Prandtl Number^(-0.5)*(0.952+Prandtl Number)^0.25*Local Grashof Number^(-0.25)

Convective mass transfer coefficient at distance X from leading edge

Go Convective Mass Transfer Coefficient = (2*Thermal Conductivity)/Boundary Layer Thickness

Length of annular space between two concentric cylinders Formula

Length = (((ln(Outer Diameter/Inner Diameter))^4*Rayleigh Number)/((Inner Diameter^-0.6+Outer Diameter^-0.6)^5))^-3
L = (((ln(d_o/d_i))^4*R_l)/((d_i^-0.6+d_o^-0.6)^5))^-3

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 Length of annular space between two concentric cylinders?

Length of annular space between two concentric cylinders calculator uses Length = (((ln(Outer Diameter/Inner Diameter))^4*Rayleigh Number)/((Inner Diameter^-0.6+Outer Diameter^-0.6)^5))^-3 to calculate the Length, The Length of annular space between two concentric cylinders formula is defined as the distance between the two concentric cylinders. Length is denoted by L symbol.

How to calculate Length of annular space between two concentric cylinders using this online calculator? To use this online calculator for Length of annular space between two concentric cylinders, enter Outer Diameter (d_o), Inner Diameter (d_i) & Rayleigh Number (R_l) and hit the calculate button. Here is how the Length of annular space between two concentric cylinders calculation can be explained with given input values -> 3.002961 = (((ln(0.26/35))^4*0.0883)/((35^-0.6+0.26^-0.6)^5))^-3.

FAQ

What is Length of annular space between two concentric cylinders?

The Length of annular space between two concentric cylinders formula is defined as the distance between the two concentric cylinders and is represented as L = (((ln(d_o/d_i))^4*R_l)/((d_i^-0.6+d_o^-0.6)^5))^-3 or Length = (((ln(Outer Diameter/Inner Diameter))^4*Rayleigh Number)/((Inner Diameter^-0.6+Outer Diameter^-0.6)^5))^-3. 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.

How to calculate Length of annular space between two concentric cylinders?

The Length of annular space between two concentric cylinders formula is defined as the distance between the two concentric cylinders is calculated using Length = (((ln(Outer Diameter/Inner Diameter))^4*Rayleigh Number)/((Inner Diameter^-0.6+Outer Diameter^-0.6)^5))^-3. To calculate Length of annular space between two concentric cylinders, you need Outer Diameter (d_o), Inner Diameter (d_i) & Rayleigh Number (R_l). With our tool, you need to enter the respective value for Outer Diameter, Inner Diameter & Rayleigh 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 Length?

In this formula, Length uses Outer Diameter, Inner Diameter & Rayleigh Number. We can use 1 other way(s) to calculate the same, which is/are as follows -

Length = Thermal Conductivity*pi*(Inside Temperature-Outside Temperature)*(Outside Diameter*Inside Diameter)/Heat Transfer

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