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(do/di))^4)*(RaL))/(((di^-0.6)+(do^-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: 0.25 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = ((((ln(do/di))^4)*(RaL))/(((di^-0.6)+(do^-0.6))^5))^-3 --> ((((ln(0.26/35))^4)*(0.25))/(((35^-0.6)+(0.26^-0.6))^5))^-3
Evaluating ... ...
L = 0.132315806777278
STEP 3: Convert Result to Output's Unit
0.132315806777278 Meter --> No Conversion Required
FINAL ANSWER
0.132315806777278 โ‰ˆ 0.132316 Meter <-- Length
(Calculation completed in 00.004 seconds)

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23 Free convection Calculators

Bingham Number of Plastic Fluids from Isothermal Semi-circular Cylinder
Go Bingham Number = (Fluid Yield Stress/Plastic Viscosity)*((Diameter of Cylinder 1/(Acceleration due to Gravity*Coefficient Of Volumetric Expansion* Change in Temperature)))^(0.5)
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
Outside diameter of concentric sphere
Go Outside Diameter = Heat transfer/((Thermal Conductivity*pi*(Inside Temperature-Outside Temperature))*((Inside Diameter)/Length))
Inside diameter of concentric sphere
Go Inside Diameter = Heat transfer/((Thermal Conductivity*pi*(Inside Temperature-Outside Temperature))*((Outside Diameter)/Length))
Length of space between two concentric sphere
Go Length = (Thermal Conductivity*pi*(Inside Temperature-Outside Temperature))*((Outside Diameter*Inside Diameter)/Heat transfer)
Inside temperature of concentric sphere
Go Inside Temperature = (Heat transfer/((Thermal Conductivity*pi*(Outer Diameter*Inner Diameter)/Length)))+Outside Temperature
Length of annular space between two concentric cylinders
Go Length = ((((ln(Outer Diameter/Inner Diameter))^4)*(Rayleigh number))/(((Inner Diameter^-0.6)+(Outer Diameter^-0.6))^5))^-3
Boundary layer thickness on vertical surfaces
Go Boundary Layer Thickens = 3.93*Distance from Point to YY Axis*(Prandtl Number^(-0.5))*((0.952+Prandtl Number)^0.25)*(Local Grashof Number^(-0.25))
Thermal conductivity of fluid
Go Thermal Conductivity = Thermal Conductivity/(0.386*(((Prandtl Number)/(0.861+Prandtl Number))^0.25)*(Rayleigh Number(t))^0.25)
Diameter of rotating cylinder in fluid given Reynolds number
Go Diameter = ((Reynolds Number(w)*Kinematic Viscosity)/(pi*Rotational speed))^(1/2)
Rotational speed given Reynolds number
Go Rotational speed = (Reynolds Number(w)*Kinematic Viscosity)/(pi*Diameter^2)
Kinematic viscosity given Reynolds number based on rotational speed
Go Kinematic Viscosity = Rotational speed*pi*(Diameter^2)/Reynolds Number(w)
Prandtl number given Graetz numbber
Go Prandtl Number = Graetz Number*Length/(Reynolds Number*Diameter)
Diameter given Graetz number
Go Diameter = Graetz Number*Length/(Reynolds Number*Prandtl Number)
Length given Graetz number
Go Length = Reynolds Number*Prandtl Number*(Diameter/Graetz Number)
Convective mass transfer coefficient at distance X from leading edge
Go Convective Mass Transfer Coefficient = (2*Thermal Conductivity)/Boundary Layer Thickens
Diameter at which turbulence starts
Go Diameter = (((5*10^5)*Kinematic Viscosity)/(Rotational speed))^1/2
Kinematic viscosity of fluid
Go Kinematic Viscosity = (Rotational speed*Diameter^2)/(5*10^5)
Rotational speed of disc
Go Rotational speed = (5*10^5)*Kinematic Viscosity/(Diameter^2)
Outside radius from gap length
Go Outer Radius = Gap length+Inside Radius
Inside radius from gap length
Go Inside Radius = Outer Radius-Gap length
Gap length
Go Gap length = Outer Radius-Inside Radius

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(do/di))^4)*(RaL))/(((di^-0.6)+(do^-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 (do), Inner Diameter (di) & Rayleigh number (RaL) 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 -> 0.132316 = ((((ln(0.26/35))^4)*(0.25))/(((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(do/di))^4)*(RaL))/(((di^-0.6)+(do^-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 (do), Inner Diameter (di) & Rayleigh number (RaL). 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 2 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)
  • Length = Reynolds Number*Prandtl Number*(Diameter/Graetz Number)
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