Outside surface temperature for annular space between concentric cylinders Calculator

✖Inside Temperature is the temperature of air present inside.ⓘ Inside Temperature [t_i]			+10% -10%
✖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 surface temperature for annular space between concentric cylinders [t_o]

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Outside surface temperature for annular space between concentric cylinders Solution

STEP 0: Pre-Calculation Summary

Formula Used

Outside Temperature = Inside Temperature-(Heat Transfer Per Unit Length*(ln(Outside Diameter/Inside Diameter))/(2*pi*Thermal Conductivity))
t_o = t_i-(e'*(ln(D_o/D_i))/(2*pi*k_e))
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

Outside Temperature - (Measured in Kelvin) - Outside Temperature is the temperature of air present outside.
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.

STEP 1: Convert Input(s) to Base Unit

Inside Temperature: 273.0367 Kelvin --> 273.0367 Kelvin No Conversion Required
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_o = t_i-(e'*(ln(D_o/D_i))/(2*pi*k_e)) --> 273.0367-(50*(ln(0.05/0.047746))/(2*pi*10))

Evaluating ... ...

t_o = 272.999992733392

STEP 3: Convert Result to Output's Unit

272.999992733392 Kelvin --> No Conversion Required

FINAL ANSWER

272.999992733392 ≈ 273 Kelvin <-- Outside 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 » Outside surface temperature for annular space between concentric cylinders

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

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Outside surface temperature for annular space between concentric cylinders

LaTeX 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

LaTeX 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

LaTeX 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

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

Outside surface temperature for annular space between concentric cylinders Formula

LaTeX Go

Outside Temperature = Inside Temperature-(Heat Transfer Per Unit Length*(ln(Outside Diameter/Inside Diameter))/(2*pi*Thermal Conductivity))
t_o = t_i-(e'*(ln(D_o/D_i))/(2*pi*k_e))

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 Outside surface temperature for annular space between concentric cylinders?

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

How to calculate Outside surface temperature for annular space between concentric cylinders using this online calculator? To use this online calculator for Outside surface temperature for annular space between concentric cylinders, enter Inside Temperature (t_i), Heat Transfer Per Unit Length (e'), Outside Diameter (D_o), Inside Diameter (D_i) & Thermal Conductivity (k_e) and hit the calculate button. Here is how the Outside surface temperature for annular space between concentric cylinders calculation can be explained with given input values -> 273 = 273.0367-(50*(ln(0.05/0.047746))/(2*pi*10)).

FAQ

What is Outside surface temperature for annular space between concentric cylinders?

The Outside surface temperature for annular space between concentric cylinders formula is defined as the temperature at the outside surface of the cylinder and is represented as t_o = t_i-(e'*(ln(D_o/D_i))/(2*pi*k_e)) or Outside Temperature = Inside Temperature-(Heat Transfer Per Unit Length*(ln(Outside Diameter/Inside Diameter))/(2*pi*Thermal Conductivity)). Inside Temperature is the temperature of air present inside, 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.

How to calculate Outside surface temperature for annular space between concentric cylinders?

The Outside surface temperature for annular space between concentric cylinders formula is defined as the temperature at the outside surface of the cylinder is calculated using Outside Temperature = Inside Temperature-(Heat Transfer Per Unit Length*(ln(Outside Diameter/Inside Diameter))/(2*pi*Thermal Conductivity)). To calculate Outside surface temperature for annular space between concentric cylinders, you need Inside Temperature (t_i), Heat Transfer Per Unit Length (e'), Outside Diameter (D_o), Inside Diameter (D_i) & Thermal Conductivity (k_e). With our tool, you need to enter the respective value for Inside Temperature, Heat Transfer Per Unit Length, Outside Diameter, Inside Diameter & Thermal Conductivity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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