Thermal Resistance for Radial Heat Conduction in Cylinders Calculator

✖The Outer Radius of any figure is the radius of a larger circle of the two concentric circles that form its boundary.ⓘ Outer Radius [r_o]			+10% -10%
✖The Inner Radius of any figure is the radius of its cavity and the smaller radius among two concentric circles.ⓘ Inner Radius [r_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]			+10% -10%
✖Length of Cylinder is the vertical height of the Cylinder.ⓘ Length of Cylinder [l_cyl]			+10% -10%

✖Thermal resistance is a heat property and a measurement of a temperature difference by which an object or material resists a heat flow.ⓘ Thermal Resistance for Radial Heat Conduction in Cylinders [R_th]

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Thermal Resistance for Radial Heat Conduction in Cylinders

Formula

`"R"_{"th"} = ln("r"_{"o"}/"r"_{"i"})/(2*pi*"k"*"l"_{"cyl"})`

Example

`"0.022974K/W"=ln("9m"/"5m")/(2*pi*"10.18W/(m*K)"*"0.4m")`

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Thermal Resistance for Radial Heat Conduction in Cylinders Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thermal Resistance = ln(Outer Radius/Inner Radius)/(2*pi*Thermal Conductivity*Length of Cylinder)
R_th = ln(r_o/r_i)/(2*pi*k*l_cyl)
This formula uses 1 Constants, 1 Functions, 5 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 Resistance - (Measured in Kelvin per Watt) - Thermal resistance is a heat property and a measurement of a temperature difference by which an object or material resists a heat flow.
Outer Radius - (Measured in Meter) - The Outer Radius of any figure is the radius of a larger circle of the two concentric circles that form its boundary.
Inner Radius - (Measured in Meter) - The Inner Radius of any figure is the radius of its cavity and the smaller radius among two concentric circles.
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.
Length of Cylinder - (Measured in Meter) - Length of Cylinder is the vertical height of the Cylinder.

STEP 1: Convert Input(s) to Base Unit

Outer Radius: 9 Meter --> 9 Meter No Conversion Required
Inner Radius: 5 Meter --> 5 Meter No Conversion Required
Thermal Conductivity: 10.18 Watt per Meter per K --> 10.18 Watt per Meter per K No Conversion Required
Length of Cylinder: 0.4 Meter --> 0.4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_th = ln(r_o/r_i)/(2*pi*k*l_cyl) --> ln(9/5)/(2*pi*10.18*0.4)

Evaluating ... ...

R_th = 0.0229737606096934

STEP 3: Convert Result to Output's Unit

0.0229737606096934 Kelvin per Watt --> No Conversion Required

FINAL ANSWER

0.0229737606096934 ≈ 0.022974 Kelvin per Watt <-- Thermal Resistance

(Calculation completed in 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » Conduction » Conduction in Cylinder » Thermal Resistance for Radial Heat Conduction in Cylinders

Credits

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!

< 14 Conduction in Cylinder Calculators

Heat Flow Rate through Cylindrical Composite Wall of 3 Layers

Go Heat Flow Rate = (Inner Surface Temperature-Outer Surface Temperature)/((ln(Radius 2/Radius 1))/(2*pi*Thermal Conductivity 1*Length of Cylinder)+(ln(Radius 3/Radius 2))/(2*pi*Thermal Conductivity 2*Length of Cylinder)+(ln(Radius 4/Radius 3))/(2*pi*Thermal Conductivity 3*Length of Cylinder))

Total Thermal Resistance of 3 Cylindrical Resistances Connected in Series

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

Total Thermal Resistance of Cylindrical Wall with Convection on Both Sides

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

Heat Flow Rate through Cylindrical Composite Wall of 2 Layers

Outer Surface Temperature of Cylindrical Composite Wall of 2 Layers

Go Outer Surface Temperature = Inner Surface Temperature-Heat Flow Rate*((ln(Radius 2/Radius 1))/(2*pi*Thermal Conductivity 1*Length of Cylinder)+(ln(Radius 3/Radius 2))/(2*pi*Thermal Conductivity 2*Length of Cylinder))

Total Thermal Resistance of 2 Cylindrical Resistances Connected in Series

Go Thermal Resistance = (ln(Radius 2/Radius 1))/(2*pi*Thermal Conductivity 1*Length of Cylinder)+(ln(Radius 3/Radius 2))/(2*pi*Thermal Conductivity 2*Length of Cylinder)

Heat Flow Rate through Cylindrical Wall

Go Heat Flow Rate = (Inner Surface Temperature-Outer Surface Temperature)/((ln(Radius 2/Radius 1))/(2*pi*Thermal Conductivity*Length of Cylinder))

Thermal Conductivity of Cylindrical Wall given Temperature Difference

Go Thermal Conductivity = (Heat Flow Rate*ln(Radius 2/Radius 1))/(2*pi*Length of Cylinder*(Inner Surface Temperature-Outer Surface Temperature))

Length of Cylindrical Wall for given Heat Flow Rate

Go Length of Cylinder = (Heat Flow Rate*ln(Radius 2/Radius 1))/(2*pi*Thermal Conductivity*(Inner Surface Temperature-Outer Surface Temperature))

Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate

Go Outer Surface Temperature = Inner Surface Temperature-(Heat Flow Rate*ln(Radius 2/Radius 1))/(2*pi*Thermal Conductivity*Length of Cylinder)

Inner Surface Temperature of Cylindrical Wall in Conduction

Go Inner Surface Temperature = Outer Surface Temperature+(Heat Flow Rate*ln(Radius 2/Radius 1))/(2*pi*Thermal Conductivity*Length of Cylinder)

Thickness of Cylindrical Wall to Maintain given Temperature Difference

Go Thickness = Radius 1*(e^(((Inner Surface Temperature-Outer Surface Temperature)*2*pi*Thermal Conductivity*Length of Cylinder)/Heat Flow Rate)-1)

Thermal Resistance for Radial Heat Conduction in Cylinders

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

Convection Resistance for Cylindrical Layer

Go Thermal Resistance = 1/(Convection heat transfer*2*pi*Cylinder Radius*Length of Cylinder)

< 6 Conduction Calculators

Thermal Resistance for Radial Heat Conduction in Cylinders

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

Conduction Thermal Resistance in Slab

Go Thermal Resistance = Slab Thickness/(Thermal Conductivity*Area of Slab)

Conduction Shape Factor of Wall

Go Conduction Shape Factor of Wall = Wall Area/Wall Thickness

Fourier's Law of Heat Conduction

Go Heat Flux = Thermal Conductivity*Temperature Gradient

Conduction Shape Factor of Corner

Go Conduction Shape Factor of Corner = 0.15*Wall Thickness

Conduction Shape Factor of Edge

Go Conduction Shape Factor of Edge = 0.54*Length of Edge

Thermal Resistance for Radial Heat Conduction in Cylinders Formula

Thermal Resistance = ln(Outer Radius/Inner Radius)/(2*pi*Thermal Conductivity*Length of Cylinder)
R_th = ln(r_o/r_i)/(2*pi*k*l_cyl)

What is thermal resistance?

Thermal resistance is a heat property and a measurement of a temperature difference by which an object or material resists a heat flow. Thermal resistance is the reciprocal of thermal conductance

How to Calculate Thermal Resistance for Radial Heat Conduction in Cylinders?

Thermal Resistance for Radial Heat Conduction in Cylinders calculator uses Thermal Resistance = ln(Outer Radius/Inner Radius)/(2*pi*Thermal Conductivity*Length of Cylinder) to calculate the Thermal Resistance, The Thermal Resistance for Radial Heat Conduction in Cylinders formula is defined as the thermal resistance offered by a cylinder for conduction of heat in the radial direction. Thermal Resistance is denoted by R_th symbol.

How to calculate Thermal Resistance for Radial Heat Conduction in Cylinders using this online calculator? To use this online calculator for Thermal Resistance for Radial Heat Conduction in Cylinders, enter Outer Radius (r_o), Inner Radius (r_i), Thermal Conductivity (k) & Length of Cylinder (l_cyl) and hit the calculate button. Here is how the Thermal Resistance for Radial Heat Conduction in Cylinders calculation can be explained with given input values -> 0.022974 = ln(9/5)/(2*pi*10.18*0.4).

FAQ

What is Thermal Resistance for Radial Heat Conduction in Cylinders?

The Thermal Resistance for Radial Heat Conduction in Cylinders formula is defined as the thermal resistance offered by a cylinder for conduction of heat in the radial direction and is represented as R_th = ln(r_o/r_i)/(2*pi*k*l_cyl) or Thermal Resistance = ln(Outer Radius/Inner Radius)/(2*pi*Thermal Conductivity*Length of Cylinder). The Outer Radius of any figure is the radius of a larger circle of the two concentric circles that form its boundary, The Inner Radius of any figure is the radius of its cavity and the smaller radius among two concentric circles, 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 & Length of Cylinder is the vertical height of the Cylinder.

How to calculate Thermal Resistance for Radial Heat Conduction in Cylinders?

The Thermal Resistance for Radial Heat Conduction in Cylinders formula is defined as the thermal resistance offered by a cylinder for conduction of heat in the radial direction is calculated using Thermal Resistance = ln(Outer Radius/Inner Radius)/(2*pi*Thermal Conductivity*Length of Cylinder). To calculate Thermal Resistance for Radial Heat Conduction in Cylinders, you need Outer Radius (r_o), Inner Radius (r_i), Thermal Conductivity (k) & Length of Cylinder (l_cyl). With our tool, you need to enter the respective value for Outer Radius, Inner Radius, Thermal Conductivity & Length of Cylinder 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 Thermal Resistance?

In this formula, Thermal Resistance uses Outer Radius, Inner Radius, Thermal Conductivity & Length of Cylinder. We can use 4 other way(s) to calculate the same, which is/are as follows -

Thermal Resistance = (ln(Radius 2/Radius 1))/(2*pi*Thermal Conductivity 1*Length of Cylinder)+(ln(Radius 3/Radius 2))/(2*pi*Thermal Conductivity 2*Length of Cylinder)
Thermal Resistance = (ln(Radius 2/Radius 1))/(2*pi*Thermal Conductivity 1*Length of Cylinder)+(ln(Radius 3/Radius 2))/(2*pi*Thermal Conductivity 2*Length of Cylinder)+(ln(Radius 4/Radius 3))/(2*pi*Thermal Conductivity 3*Length of Cylinder)
Thermal Resistance = 1/(2*pi*Radius 1*Length of Cylinder*Inside Convection Heat Transfer Coefficient)+(ln(Radius 2/Radius 1))/(2*pi*Thermal Conductivity*Length of Cylinder)+1/(2*pi*Radius 2*Length of Cylinder*External Convection Heat Transfer Coefficient)
Thermal Resistance = 1/(Convection heat transfer*2*pi*Cylinder Radius*Length of Cylinder)

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