Inside surface temperature for annular space between concentric cylinders Solution

STEP 0: Pre-Calculation Summary
Formula Used
Inside Temperature = (Heat Transfer per Unit Length*((ln(Outside Diameter/Inside Diameter))/(2*pi*Thermal Conductivity)))+Outside Temperature
ti = (e'*((ln(Do/Di))/(2*pi*kEff)))+to
This formula uses 1 Constants, 1 Functions, 6 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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
Inside Temperature - (Measured in Kelvin) - Inside Temperature is the temperature of air present inside.
Heat Transfer per Unit Length - Heat Transfer per Unit Length is defined as the movement of heat across the border of the system due to a difference in temperature between the system and its surroundings.
Outside Diameter - (Measured in Meter) - Outside Diameter is the diameter of the outside surface.
Inside Diameter - (Measured in Meter) - Inside diameter is the diameter of the inside surface.
Thermal Conductivity - (Measured in Watt per Meter per K) - Thermal Conductivity is defined as the transport of energy due to random molecular motion across a temperature gradient.
Outside Temperature - (Measured in Kelvin) - Outside Temperature is the temperature of air present outside.
STEP 1: Convert Input(s) to Base Unit
Heat Transfer per Unit Length: 50 --> No Conversion Required
Outside Diameter: 0.05 Meter --> 0.05 Meter No Conversion Required
Inside Diameter: 0.005 Meter --> 0.005 Meter No Conversion Required
Thermal Conductivity: 10 Watt per Meter per K --> 10 Watt per Meter per K No Conversion Required
Outside Temperature: 273 Kelvin --> 273 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ti = (e'*((ln(Do/Di))/(2*pi*kEff)))+to --> (50*((ln(0.05/0.005))/(2*pi*10)))+273
Evaluating ... ...
ti = 274.832338997199
STEP 3: Convert Result to Output's Unit
274.832338997199 Kelvin --> No Conversion Required
FINAL ANSWER
274.832338997199 274.8323 Kelvin <-- Inside Temperature
(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

Inside surface temperature for annular space between concentric cylinders Formula

Inside Temperature = (Heat Transfer per Unit Length*((ln(Outside Diameter/Inside Diameter))/(2*pi*Thermal Conductivity)))+Outside Temperature
ti = (e'*((ln(Do/Di))/(2*pi*kEff)))+to

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 Inside surface temperature for annular space between concentric cylinders?

Inside surface temperature for annular space between concentric cylinders calculator uses Inside Temperature = (Heat Transfer per Unit Length*((ln(Outside Diameter/Inside Diameter))/(2*pi*Thermal Conductivity)))+Outside Temperature to calculate the Inside Temperature, The Inside surface temperature for annular space between concentric cylinders formula is defined as the temperature at the inside surface of the cylinder. Inside Temperature is denoted by ti symbol.

How to calculate Inside surface temperature for annular space between concentric cylinders using this online calculator? To use this online calculator for Inside surface temperature for annular space between concentric cylinders, enter Heat Transfer per Unit Length (e'), Outside Diameter (Do), Inside Diameter (Di), Thermal Conductivity (kEff) & Outside Temperature (to) and hit the calculate button. Here is how the Inside surface temperature for annular space between concentric cylinders calculation can be explained with given input values -> 274.8323 = (50*((ln(0.05/0.005))/(2*pi*10)))+273.

FAQ

What is Inside surface temperature for annular space between concentric cylinders?
The Inside surface temperature for annular space between concentric cylinders formula is defined as the temperature at the inside surface of the cylinder and is represented as ti = (e'*((ln(Do/Di))/(2*pi*kEff)))+to or Inside Temperature = (Heat Transfer per Unit Length*((ln(Outside Diameter/Inside Diameter))/(2*pi*Thermal Conductivity)))+Outside Temperature. Heat Transfer per Unit Length is defined as the movement of heat across the border of the system due to a difference in temperature between the system and its surroundings, Outside Diameter is the diameter of the outside surface, Inside diameter is the diameter of the inside surface, Thermal Conductivity is defined as the transport of energy due to random molecular motion across a temperature gradient & Outside Temperature is the temperature of air present outside.
How to calculate Inside surface temperature for annular space between concentric cylinders?
The Inside surface temperature for annular space between concentric cylinders formula is defined as the temperature at the inside surface of the cylinder is calculated using Inside Temperature = (Heat Transfer per Unit Length*((ln(Outside Diameter/Inside Diameter))/(2*pi*Thermal Conductivity)))+Outside Temperature. To calculate Inside surface temperature for annular space between concentric cylinders, you need Heat Transfer per Unit Length (e'), Outside Diameter (Do), Inside Diameter (Di), Thermal Conductivity (kEff) & Outside Temperature (to). With our tool, you need to enter the respective value for Heat Transfer per Unit Length, Outside Diameter, Inside Diameter, Thermal Conductivity & Outside Temperature 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 Inside Temperature?
In this formula, Inside Temperature uses Heat Transfer per Unit Length, Outside Diameter, Inside Diameter, Thermal Conductivity & Outside Temperature. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Inside Temperature = (Heat transfer/((Thermal Conductivity*pi*(Outer Diameter*Inner Diameter)/Length)))+Outside Temperature
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