Thermal Resistance for Conduction at Tube Wall Calculator

✖The Outer Radius of Cylinder is a straight line from the center to the Cylinder's base to outer surface of the Cylinder.ⓘ Outer Radius of Cylinder [r₂]			+10% -10%
✖The Inner Radius of Cylinder is a straight line from the center to the Cylinder's base to inner surface of the Cylinder.ⓘ Inner Radius of Cylinder [r₁]			+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]			+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 Conduction at Tube Wall [R_th]

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Formula

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Thermal Resistance for Conduction at Tube Wall

Formula

`"R"_{"th"} = (ln("r"_{"2"}/"r"_{"1"}))/(2*pi*"k"*"l")`

Example

`"0.019531K/W"=(ln("12.5m"/"2.5m"))/(2*pi*"2.15W/(m*K)"*"6.1m")`

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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)
R_th = (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

R_th = (ln(r₂/r₁))/(2*pi*k*l) --> (ln(12.5/2.5))/(2*pi*2.15*6.1)

Evaluating ... ...

R_th = 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 00.021 seconds)

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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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< 8 Thermal Resistance Calculators

Thermal Resistance for Conduction at Tube Wall

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

Outside Heat Transfer Coefficient given Thermal Resistance

Go External Convection Heat Transfer Coefficient = 1/(Thermal Resistance*Outside Area)

Thermal Resistance for Convection at Outer Surface

Go Thermal Resistance = 1/(External Convection Heat Transfer Coefficient*Outside Area)

Outside Area given Outer Thermal Resistance

Go Outside Area = 1/(External Convection Heat Transfer Coefficient*Thermal Resistance)

Inner Heat Transfer Coefficient given Inner Thermal Resistance

Go Inside Convection Heat Transfer Coefficient = 1/(Inside Area*Thermal Resistance)

Inside Area given Thermal Resistance for Inner Surface

Go Inside Area = 1/(Inside Convection Heat Transfer Coefficient*Thermal Resistance)

Thermal Resistance for Convection at Inner Surface

Go Thermal Resistance = 1/(Inside Area*Inside Convection Heat Transfer Coefficient)

Total Thermal Resistance

Go Total Thermal Resistance = 1/(Overall Heat Transfer Coefficient*Area)

< 20 Heat Transfer from Extended Surfaces (Fins), Critical Thickness of Insulation and Thermal Resistance Calculators

Heat Dissipation from Fin Losing Heat at End Tip

Go Fin Heat Transfer Rate = (sqrt(Perimeter of Fin*Heat Transfer Coefficient*Thermal Conductivity of Fin*Cross Sectional Area))*(Surface Temperature-Surrounding Temperature)*((tanh((sqrt((Perimeter of Fin*Heat Transfer Coefficient)/(Thermal Conductivity of Fin*Cross Sectional Area)))*Length of Fin)+(Heat Transfer Coefficient)/(Thermal Conductivity of Fin*(sqrt(Perimeter of Fin*Heat Transfer Coefficient/Thermal Conductivity of Fin*Cross Sectional Area)))))/(1+tanh((sqrt((Perimeter of Fin*Heat Transfer Coefficient)/(Thermal Conductivity of Fin*Cross Sectional Area)))*Length of Fin*(Heat Transfer Coefficient)/(Thermal Conductivity of Fin*(sqrt((Perimeter of Fin*Heat Transfer Coefficient)/(Thermal Conductivity of Fin*Cross Sectional Area))))))

Heat Dissipation from Fin Insulated at End Tip

Go Fin Heat Transfer Rate = (sqrt((Perimeter of Fin*Heat Transfer Coefficient*Thermal Conductivity of Fin*Cross Sectional Area)))*(Surface Temperature-Surrounding Temperature)*tanh((sqrt((Perimeter of Fin*Heat Transfer Coefficient)/(Thermal Conductivity of Fin*Cross Sectional Area)))*Length of Fin)

Heat Dissipation from Infinitely Long Fin

Go Fin Heat Transfer Rate = ((Perimeter of Fin*Heat Transfer Coefficient*Thermal Conductivity of Fin*Cross Sectional Area)^0.5)*(Surface Temperature-Surrounding Temperature)

Thermal Resistance for Conduction at Tube Wall

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

Heat Transfer in Fins given Fin Efficiency

Go Fin Heat Transfer Rate = Overall Heat Transfer Coefficient*Area*Fin Efficiency*Overall Difference in Temperature

Newton's Law of Cooling

Go Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Temperature of Characteristic Fluid)

Biot Number using Characteristic Length

Go Biot Number = (Heat Transfer Coefficient*Characteristic Length)/(Thermal Conductivity of Fin)

Critical Radius of Insulation of Hollow Sphere

Go Critical Radius of Insulation = 2*Thermal Conductivity of Insulation/External Convection Heat Transfer Coefficient

Critical Radius of Insulation of Cylinder

Go Critical Radius of Insulation = Thermal Conductivity of Insulation/External Convection Heat Transfer Coefficient

Correction Length for Cylindrical Fin with Non-Adiabatic Tip

Go Correction Length for Cylindrical Fin = Length of Fin+(Diameter of Cylindrical Fin/4)

Outside Heat Transfer Coefficient given Thermal Resistance

Go External Convection Heat Transfer Coefficient = 1/(Thermal Resistance*Outside Area)

Thermal Resistance for Convection at Outer Surface

Go Thermal Resistance = 1/(External Convection Heat Transfer Coefficient*Outside Area)

Outside Area given Outer Thermal Resistance

Go Outside Area = 1/(External Convection Heat Transfer Coefficient*Thermal Resistance)

Inner Heat Transfer Coefficient given Inner Thermal Resistance

Go Inside Convection Heat Transfer Coefficient = 1/(Inside Area*Thermal Resistance)

Inside Area given Thermal Resistance for Inner Surface

Go Inside Area = 1/(Inside Convection Heat Transfer Coefficient*Thermal Resistance)

Thermal Resistance for Convection at Inner Surface

Go Thermal Resistance = 1/(Inside Area*Inside Convection Heat Transfer Coefficient)

Correction Length for Thin Rectangular Fin with Non-Adiabatic Tip

Go Correction Length for Thin Rectangular Fin = Length of Fin+(Thickness of Fin/2)

Volumetric Heat Generation in Current Carrying Electrical Conductor

Go Volumetric Heat Generation = (Electric Current Density^2)*Resistivity

Total Thermal Resistance

Go Total Thermal Resistance = 1/(Overall Heat Transfer Coefficient*Area)

Correction Length for Square Fin with Non-Adiabatic Tip

Go Correction Length for Sqaure Fin = Length of Fin+(Width of Fin/4)

Thermal Resistance for Conduction at Tube Wall Formula

Thermal Resistance = (ln(Outer Radius of Cylinder/Inner Radius of Cylinder))/(2*pi*Thermal Conductivity*Length of Cylinder)
R_th = (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 R_th 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 R_th = (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 4 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)
Thermal Resistance = 1/(External Convection Heat Transfer Coefficient*Outside Area)

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