Thermal Conductivity of Cylindrical Wall given Temperature Difference Calculator

✖Heat Flow Rate is the amount of heat that is transferred per unit of time in some material, usually measured in watt. Heat is the flow of thermal energy driven by thermal non-equilibrium.ⓘ Heat Flow Rate [Q]			+10% -10%
✖Radius of 2nd Cylinder is the distance from the center of the concentric circles to any point on the Second concentric circle or radius of the third circle.ⓘ Radius of 2nd Cylinder [r₂]			+10% -10%
✖Radius of 1st Cylinder is the distance from the center of the concentric circles to any point on the first/smallest concentric circle for the first cylinder in the series.ⓘ Radius of 1st Cylinder [r₁]			+10% -10%
✖Length of Cylinder is the vertical height of the Cylinder.ⓘ Length of Cylinder [l_cyl]			+10% -10%
✖Inner Surface Temperature is the temperature at the inner surface of the wall either plane wall or cylindrical wall or spherical wall, etc.ⓘ Inner Surface Temperature [T_i]			+10% -10%
✖Outer surface temperature is the temperature at the outer surface of the wall (either plane wall or cylindrical wall or spherical wall, etc).ⓘ Outer Surface Temperature [T_o]			+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 of Cylindrical Wall given Temperature Difference [k]

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Thermal Conductivity of Cylindrical Wall given Temperature Difference Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thermal Conductivity = (Heat Flow Rate*ln(Radius of 2nd Cylinder/Radius of 1st Cylinder))/(2*pi*Length of Cylinder*(Inner Surface Temperature-Outer Surface Temperature))
k = (Q*ln(r₂/r₁))/(2*pi*l_cyl*(T_i-T_o))
This formula uses 1 Constants, 1 Functions, 7 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

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.
Heat Flow Rate - (Measured in Watt) - Heat Flow Rate is the amount of heat that is transferred per unit of time in some material, usually measured in watt. Heat is the flow of thermal energy driven by thermal non-equilibrium.
Radius of 2nd Cylinder - (Measured in Meter) - Radius of 2nd Cylinder is the distance from the center of the concentric circles to any point on the Second concentric circle or radius of the third circle.
Radius of 1st Cylinder - (Measured in Meter) - Radius of 1st Cylinder is the distance from the center of the concentric circles to any point on the first/smallest concentric circle for the first cylinder in the series.
Length of Cylinder - (Measured in Meter) - Length of Cylinder is the vertical height of the Cylinder.
Inner Surface Temperature - (Measured in Kelvin) - Inner Surface Temperature is the temperature at the inner surface of the wall either plane wall or cylindrical wall or spherical wall, etc.
Outer Surface Temperature - (Measured in Kelvin) - Outer surface temperature is the temperature at the outer surface of the wall (either plane wall or cylindrical wall or spherical wall, etc).

STEP 1: Convert Input(s) to Base Unit

Heat Flow Rate: 9.27 Watt --> 9.27 Watt No Conversion Required
Radius of 2nd Cylinder: 12 Meter --> 12 Meter No Conversion Required
Radius of 1st Cylinder: 0.8 Meter --> 0.8 Meter No Conversion Required
Length of Cylinder: 0.4 Meter --> 0.4 Meter No Conversion Required
Inner Surface Temperature: 305 Kelvin --> 305 Kelvin No Conversion Required
Outer Surface Temperature: 300 Kelvin --> 300 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k = (Q*ln(r₂/r₁))/(2*pi*l_cyl*(T_i-T_o)) --> (9.27*ln(12/0.8))/(2*pi*0.4*(305-300))

Evaluating ... ...

k = 1.99768303312115

STEP 3: Convert Result to Output's Unit

1.99768303312115 Watt per Meter per K --> No Conversion Required

FINAL ANSWER

1.99768303312115 ≈ 1.997683 Watt per Meter per K <-- Thermal Conductivity

(Calculation completed in 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » Conduction » Mechanical » Conduction in Cylinder » Thermal Conductivity of Cylindrical Wall given Temperature Difference

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Created by Sai Venkata Phanindra Chary Arendra

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

Sai Venkata Phanindra Chary Arendra has created this Calculator and 100+ more calculators!

Verified by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

Vinay Mishra has verified this Calculator and 100+ more calculators!

< Conduction in Cylinder Calculators

Total Thermal Resistance of 3 Cylindrical Resistances Connected in Series

LaTeX Go Thermal Resistance = (ln(Radius of 2nd Cylinder/Radius of 1st Cylinder))/(2*pi*Thermal Conductivity 1*Length of Cylinder)+(ln(Radius of 3rd Cylinder/Radius of 2nd Cylinder))/(2*pi*Thermal Conductivity 2*Length of Cylinder)+(ln(Radius of 4th Cylinder/Radius of 3rd Cylinder))/(2*pi*Thermal Conductivity 3*Length of Cylinder)

Total Thermal Resistance of Cylindrical Wall with Convection on Both Sides

LaTeX Go Thermal Resistance = 1/(2*pi*Radius of 1st Cylinder*Length of Cylinder*Inside Convection Heat Transfer Coefficient)+(ln(Radius of 2nd Cylinder/Radius of 1st Cylinder))/(2*pi*Thermal Conductivity*Length of Cylinder)+1/(2*pi*Radius of 2nd Cylinder*Length of Cylinder*External Convection Heat Transfer Coefficient)

Total Thermal Resistance of 2 Cylindrical Resistances Connected in Series

Thermal Resistance for Radial Heat Conduction in Cylinders

LaTeX Go Thermal Resistance = ln(Outer Radius/Inner Radius)/(2*pi*Thermal Conductivity*Length of Cylinder)

Thermal Conductivity of Cylindrical Wall given Temperature Difference Formula

LaTeX Go

What is thermal conductivity

Thermal conductivity can be defined as the rate at which heat is transferred by conduction through a unit cross-section area of a material when a temperature gradient exists perpendicular to the area.

How to Calculate Thermal Conductivity of Cylindrical Wall given Temperature Difference?

Thermal Conductivity of Cylindrical Wall given Temperature Difference calculator uses Thermal Conductivity = (Heat Flow Rate*ln(Radius of 2nd Cylinder/Radius of 1st Cylinder))/(2*pi*Length of Cylinder*(Inner Surface Temperature-Outer Surface Temperature)) to calculate the Thermal Conductivity, The Thermal Conductivity of Cylindrical Wall given Temperature Difference formula is defined as the thermal conductivity of the material of the cylindrical wall required to maintain inner and outer surfaces at given temperatures when the heat flows through it in the radial direction. Thermal Conductivity is denoted by k symbol.

How to calculate Thermal Conductivity of Cylindrical Wall given Temperature Difference using this online calculator? To use this online calculator for Thermal Conductivity of Cylindrical Wall given Temperature Difference, enter Heat Flow Rate (Q), Radius of 2nd Cylinder (r₂), Radius of 1st Cylinder (r₁), Length of Cylinder (l_cyl), Inner Surface Temperature (T_i) & Outer Surface Temperature (T_o) and hit the calculate button. Here is how the Thermal Conductivity of Cylindrical Wall given Temperature Difference calculation can be explained with given input values -> 11.41533 = (9.27*ln(12/0.8))/(2*pi*0.4*(305-300)).

FAQ

What is Thermal Conductivity of Cylindrical Wall given Temperature Difference?

The Thermal Conductivity of Cylindrical Wall given Temperature Difference formula is defined as the thermal conductivity of the material of the cylindrical wall required to maintain inner and outer surfaces at given temperatures when the heat flows through it in the radial direction and is represented as k = (Q*ln(r₂/r₁))/(2*pi*l_cyl*(T_i-T_o)) or Thermal Conductivity = (Heat Flow Rate*ln(Radius of 2nd Cylinder/Radius of 1st Cylinder))/(2*pi*Length of Cylinder*(Inner Surface Temperature-Outer Surface Temperature)). Heat Flow Rate is the amount of heat that is transferred per unit of time in some material, usually measured in watt. Heat is the flow of thermal energy driven by thermal non-equilibrium, Radius of 2nd Cylinder is the distance from the center of the concentric circles to any point on the Second concentric circle or radius of the third circle, Radius of 1st Cylinder is the distance from the center of the concentric circles to any point on the first/smallest concentric circle for the first cylinder in the series, Length of Cylinder is the vertical height of the Cylinder, Inner Surface Temperature is the temperature at the inner surface of the wall either plane wall or cylindrical wall or spherical wall, etc & Outer surface temperature is the temperature at the outer surface of the wall (either plane wall or cylindrical wall or spherical wall, etc).

How to calculate Thermal Conductivity of Cylindrical Wall given Temperature Difference?

The Thermal Conductivity of Cylindrical Wall given Temperature Difference formula is defined as the thermal conductivity of the material of the cylindrical wall required to maintain inner and outer surfaces at given temperatures when the heat flows through it in the radial direction is calculated using Thermal Conductivity = (Heat Flow Rate*ln(Radius of 2nd Cylinder/Radius of 1st Cylinder))/(2*pi*Length of Cylinder*(Inner Surface Temperature-Outer Surface Temperature)). To calculate Thermal Conductivity of Cylindrical Wall given Temperature Difference, you need Heat Flow Rate (Q), Radius of 2nd Cylinder (r₂), Radius of 1st Cylinder (r₁), Length of Cylinder (l_cyl), Inner Surface Temperature (T_i) & Outer Surface Temperature (T_o). With our tool, you need to enter the respective value for Heat Flow Rate, Radius of 2nd Cylinder, Radius of 1st Cylinder, Length of Cylinder, Inner Surface Temperature & Outer Surface Temperature 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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