Inside surface temperature for annular space between concentric cylinders Calculator

✖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.ⓘ Heat Transfer Per Unit Length [e']			+10% -10%
✖Outside Diameter is the diameter of the outside surface.ⓘ Outside Diameter [D_o]			+10% -10%
✖Inside Diameter is the diameter of the inside surface.ⓘ Inside Diameter [D_i]			+10% -10%
✖Thermal Conductivity is rate of heat passes through specified material, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance.ⓘ Thermal Conductivity [k_e]			+10% -10%
✖Outside Temperature is the temperature of air present outside.ⓘ Outside Temperature [t_o]			+10% -10%

✖Inside Temperature is the temperature of air present inside.ⓘ Inside surface temperature for annular space between concentric cylinders [t_i]

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Formula

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Inside surface temperature for annular space between concentric cylinders

Formula

t i = (e' \cdot \frac{\ln (\frac{D o}{D i})}{2 \cdot π \cdot k e}) + t o

Example

273.0367 K = (50 \cdot \frac{\ln (\frac{0.05 m}{0.047746 m})}{2 \cdot π \cdot 10 W/(m*K)}) + 273 K

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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
t_i = (e'*(ln(D_o/D_i))/(2*pi*k_e))+t_o
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 rate of heat passes through specified material, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance.
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: 0.047746 Meter --> 0.047746 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

t_i = (e'*(ln(D_o/D_i))/(2*pi*k_e))+t_o --> (50*(ln(0.05/0.047746))/(2*pi*10))+273

Evaluating ... ...

t_i = 273.036707266608

STEP 3: Convert Result to Output's Unit

273.036707266608 Kelvin --> No Conversion Required

FINAL ANSWER

273.036707266608 ≈ 273.0367 Kelvin <-- Inside Temperature

(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 » Inside surface temperature for annular space between concentric cylinders

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Created by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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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

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
t_i = (e'*(ln(D_o/D_i))/(2*pi*k_e))+t_o

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 t_i 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 (D_o), Inside Diameter (D_i), Thermal Conductivity (k_e) & Outside Temperature (t_o) 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 -> 273.0367 = (50*(ln(0.05/0.047746))/(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 t_i = (e'*(ln(D_o/D_i))/(2*pi*k_e))+t_o 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 rate of heat passes through specified material, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance & 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 (D_o), Inside Diameter (D_i), Thermal Conductivity (k_e) & Outside Temperature (t_o). 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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