Thermal Resistance for Conduction at Tube Wall Solution

STEP 0: Pre-Calculation Summary
Formula Used
Thermal Resistance = (ln(Outer Radius of Cylinder/Inner Radius of Cylinder))/(2*pi*Thermal Conductivity*Length of Cylinder)
Rth = (ln(r2/r1))/(2*pi*k*l)
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 of Cylinder - (Measured in Meter) - The Outer Radius of Cylinder is a straight line from the center to the Cylinder's base to outer surface of the Cylinder.
Inner Radius of Cylinder - (Measured in Meter) - The Inner Radius of Cylinder is a straight line from the center to the Cylinder's base to inner surface of the Cylinder.
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 of Cylinder: 12.5 Meter --> 12.5 Meter No Conversion Required
Inner Radius of Cylinder: 2.5 Meter --> 2.5 Meter No Conversion Required
Thermal Conductivity: 2.15 Watt per Meter per K --> 2.15 Watt per Meter per K No Conversion Required
Length of Cylinder: 6.1 Meter --> 6.1 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Rth = (ln(r2/r1))/(2*pi*k*l) --> (ln(12.5/2.5))/(2*pi*2.15*6.1)
Evaluating ... ...
Rth = 0.0195310712438725
STEP 3: Convert Result to Output's Unit
0.0195310712438725 Kelvin per Watt --> No Conversion Required
FINAL ANSWER
0.0195310712438725 0.019531 Kelvin per Watt <-- Thermal Resistance
(Calculation completed in 00.004 seconds)

Credits

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Created by Ayush gupta
University School of Chemical Technology-USCT (GGSIPU), New Delhi
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Verified by Soupayan banerjee
National University of Judicial Science (NUJS), Kolkata
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Thermal Resistance Calculators

Thermal Resistance for Conduction at Tube Wall
​ LaTeX ​ Go Thermal Resistance = (ln(Outer Radius of Cylinder/Inner Radius of Cylinder))/(2*pi*Thermal Conductivity*Length of Cylinder)
Thermal Resistance for Convection at Outer Surface
​ LaTeX ​ Go Thermal Resistance = 1/(External Convection Heat Transfer Coefficient*Outside Area)
Thermal Resistance for Convection at Inner Surface
​ LaTeX ​ Go Thermal Resistance = 1/(Inside Area*Inside Convection Heat Transfer Coefficient)
Total Thermal Resistance
​ LaTeX ​ Go Total Thermal Resistance = 1/(Overall Heat Transfer Coefficient*Area)

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​ LaTeX ​ Go Biot Number = (Heat Transfer Coefficient*Characteristic Length)/(Thermal Conductivity of Fin)
Correction Length for Cylindrical Fin with Non-Adiabatic Tip
​ LaTeX ​ Go Correction Length for Cylindrical Fin = Length of Fin+(Diameter of Cylindrical Fin/4)
Correction Length for Thin Rectangular Fin with Non-Adiabatic Tip
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Correction Length for Square Fin with Non-Adiabatic Tip
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Thermal Resistance for Conduction at Tube Wall Formula

​LaTeX ​Go
Thermal Resistance = (ln(Outer Radius of Cylinder/Inner Radius of Cylinder))/(2*pi*Thermal Conductivity*Length of Cylinder)
Rth = (ln(r2/r1))/(2*pi*k*l)

What is Heat Exchanger?

A Heat Exchanger is a device that facilitates the process of heat exchange between two fluids that are at different temperatures.

What are the different types of Heat Exchanger?

Mainly Heat Exchanger are divided in 4 categories: Hairpin Type Heat Exchanger, Double Pipe Heat Exchanger, Shell and Tube Heat Exchanger & Plate Type Heat Exchanger.

How to Calculate Thermal Resistance for Conduction at Tube Wall?

Thermal Resistance for Conduction at Tube Wall calculator uses Thermal Resistance = (ln(Outer Radius of Cylinder/Inner Radius of Cylinder))/(2*pi*Thermal Conductivity*Length of Cylinder) to calculate the Thermal Resistance, The Thermal Resistance for Conduction at Tube Wall formula is defined as the ratio of log of ratio of outer radius to inner radius to the product of some variables like thermal conductivity and length of cylinder/rod . Thermal Resistance is denoted by Rth symbol.

How to calculate Thermal Resistance for Conduction at Tube Wall using this online calculator? To use this online calculator for Thermal Resistance for Conduction at Tube Wall, enter Outer Radius of Cylinder (r2), Inner Radius of Cylinder (r1), Thermal Conductivity (k) & Length of Cylinder (l) and hit the calculate button. Here is how the Thermal Resistance for Conduction at Tube Wall calculation can be explained with given input values -> 0.019531 = (ln(12.5/2.5))/(2*pi*2.15*6.1).

FAQ

What is Thermal Resistance for Conduction at Tube Wall?
The Thermal Resistance for Conduction at Tube Wall formula is defined as the ratio of log of ratio of outer radius to inner radius to the product of some variables like thermal conductivity and length of cylinder/rod and is represented as Rth = (ln(r2/r1))/(2*pi*k*l) or Thermal Resistance = (ln(Outer Radius of Cylinder/Inner Radius of Cylinder))/(2*pi*Thermal Conductivity*Length of Cylinder). The Outer Radius of Cylinder is a straight line from the center to the Cylinder's base to outer surface of the Cylinder, The Inner Radius of Cylinder is a straight line from the center to the Cylinder's base to inner surface of the Cylinder, 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 Conduction at Tube Wall?
The Thermal Resistance for Conduction at Tube Wall formula is defined as the ratio of log of ratio of outer radius to inner radius to the product of some variables like thermal conductivity and length of cylinder/rod is calculated using Thermal Resistance = (ln(Outer Radius of Cylinder/Inner Radius of Cylinder))/(2*pi*Thermal Conductivity*Length of Cylinder). To calculate Thermal Resistance for Conduction at Tube Wall, you need Outer Radius of Cylinder (r2), Inner Radius of Cylinder (r1), Thermal Conductivity (k) & Length of Cylinder (l). With our tool, you need to enter the respective value for Outer Radius of Cylinder, Inner Radius of Cylinder, 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 of Cylinder, Inner Radius of Cylinder, Thermal Conductivity & Length of Cylinder. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Thermal Resistance = 1/(External Convection Heat Transfer Coefficient*Outside Area)
  • Thermal Resistance = 1/(Inside Area*Inside Convection Heat Transfer Coefficient)
  • Thermal Resistance = 1/(Inside Area*Inside Convection Heat Transfer Coefficient)
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