Total Thermal Resistance of Cylindrical Wall with Convection on Both Sides Calculator

✖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%
✖Inside Convection Heat Transfer Coefficient is the coefficient of convection heat transfer at the inside surface of the body or object or wall, etc.ⓘ Inside Convection Heat Transfer Coefficient [h_i]			+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%
✖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%
✖External Convection Heat Transfer Coefficient is the proportionality constant between the heat flux and the thermodynamic driving force for the flow of heat in case of convective heat transfer.ⓘ External Convection Heat Transfer Coefficient [h_ext]			+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.ⓘ Total Thermal Resistance of Cylindrical Wall with Convection on Both Sides [R_th]

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Formula

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Total Thermal Resistance of Cylindrical Wall with Convection on Both Sides

Formula

R th = \frac{1}{2 \cdot π \cdot r 1 \cdot l cyl \cdot h i} + \frac{\ln (\frac{r 2}{r 1})}{2 \cdot π \cdot k \cdot l cyl} + \frac{1}{2 \cdot π \cdot r 2 \cdot l cyl \cdot h ext}

Example

0.477642 K/W = \frac{1}{2 \cdot π \cdot 0.8 m \cdot 0.4 m \cdot 1.35 W/m²*K} + \frac{\ln (\frac{12 m}{0.8 m})}{2 \cdot π \cdot 10.18 W/(m*K) \cdot 0.4 m} + \frac{1}{2 \cdot π \cdot 12 m \cdot 0.4 m \cdot 9.8 W/m²*K}

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Total Thermal Resistance of Cylindrical Wall with Convection on Both Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
R_th = 1/(2*pi*r₁*l_cyl*h_i)+(ln(r₂/r₁))/(2*pi*k*l_cyl)+1/(2*pi*r₂*l_cyl*h_ext)
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 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.
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.
Inside Convection Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - Inside Convection Heat Transfer Coefficient is the coefficient of convection heat transfer at the inside surface of the body or object or wall, etc.
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.
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.
External Convection Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - External Convection Heat Transfer Coefficient is the proportionality constant between the heat flux and the thermodynamic driving force for the flow of heat in case of convective heat transfer.

STEP 1: Convert Input(s) to Base Unit

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
Inside Convection Heat Transfer Coefficient: 1.35 Watt per Square Meter per Kelvin --> 1.35 Watt per Square Meter per Kelvin No Conversion Required
Radius of 2nd Cylinder: 12 Meter --> 12 Meter No Conversion Required
Thermal Conductivity: 10.18 Watt per Meter per K --> 10.18 Watt per Meter per K No Conversion Required
External Convection Heat Transfer Coefficient: 9.8 Watt per Square Meter per Kelvin --> 9.8 Watt per Square Meter per Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_th = 1/(2*pi*r₁*l_cyl*h_i)+(ln(r₂/r₁))/(2*pi*k*l_cyl)+1/(2*pi*r₂*l_cyl*h_ext) --> 1/(2*pi*0.8*0.4*1.35)+(ln(12/0.8))/(2*pi*10.18*0.4)+1/(2*pi*12*0.4*9.8)

Evaluating ... ...

R_th = 0.477642305519784

STEP 3: Convert Result to Output's Unit

0.477642305519784 Kelvin per Watt --> No Conversion Required

FINAL ANSWER

0.477642305519784 ≈ 0.477642 Kelvin per Watt <-- Thermal Resistance

(Calculation completed in 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » Conduction » Mechanical » Conduction in Cylinder » Total Thermal Resistance of Cylindrical Wall with Convection on Both Sides

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Created by Sai Venkata Phanindra Chary Arendra

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

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< Conduction in Cylinder Calculators

Total Thermal Resistance of 3 Cylindrical Resistances Connected in Series

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

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

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

Total Thermal Resistance of Cylindrical Wall with Convection on Both Sides Formula

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 Total Thermal Resistance of Cylindrical Wall with Convection on Both Sides?

Total Thermal Resistance of Cylindrical Wall with Convection on Both Sides calculator uses 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) to calculate the Thermal Resistance, The Total Thermal Resistance of Cylindrical wall with Convection on both Sides formula is defined as the sum of thermal resistance due to convection on the inside and outside the cylindrical surface and the thermal resistance due to conduction. Thermal Resistance is denoted by R_th symbol.

How to calculate Total Thermal Resistance of Cylindrical Wall with Convection on Both Sides using this online calculator? To use this online calculator for Total Thermal Resistance of Cylindrical Wall with Convection on Both Sides, enter Radius of 1st Cylinder (r₁), Length of Cylinder (l_cyl), Inside Convection Heat Transfer Coefficient (h_i), Radius of 2nd Cylinder (r₂), Thermal Conductivity (k) & External Convection Heat Transfer Coefficient (h_ext) and hit the calculate button. Here is how the Total Thermal Resistance of Cylindrical Wall with Convection on Both Sides calculation can be explained with given input values -> 0.477642 = 1/(2*pi*0.8*0.4*1.35)+(ln(12/0.8))/(2*pi*10.18*0.4)+1/(2*pi*12*0.4*9.8).

FAQ

What is Total Thermal Resistance of Cylindrical Wall with Convection on Both Sides?

The Total Thermal Resistance of Cylindrical wall with Convection on both Sides formula is defined as the sum of thermal resistance due to convection on the inside and outside the cylindrical surface and the thermal resistance due to conduction and is represented as R_th = 1/(2*pi*r₁*l_cyl*h_i)+(ln(r₂/r₁))/(2*pi*k*l_cyl)+1/(2*pi*r₂*l_cyl*h_ext) or 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). 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, Inside Convection Heat Transfer Coefficient is the coefficient of convection heat transfer at the inside surface of the body or object or wall, etc, 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, 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 & External Convection Heat Transfer Coefficient is the proportionality constant between the heat flux and the thermodynamic driving force for the flow of heat in case of convective heat transfer.

How to calculate Total Thermal Resistance of Cylindrical Wall with Convection on Both Sides?

The Total Thermal Resistance of Cylindrical wall with Convection on both Sides formula is defined as the sum of thermal resistance due to convection on the inside and outside the cylindrical surface and the thermal resistance due to conduction is calculated using 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). To calculate Total Thermal Resistance of Cylindrical Wall with Convection on Both Sides, you need Radius of 1st Cylinder (r₁), Length of Cylinder (l_cyl), Inside Convection Heat Transfer Coefficient (h_i), Radius of 2nd Cylinder (r₂), Thermal Conductivity (k) & External Convection Heat Transfer Coefficient (h_ext). With our tool, you need to enter the respective value for Radius of 1st Cylinder, Length of Cylinder, Inside Convection Heat Transfer Coefficient, Radius of 2nd Cylinder, Thermal Conductivity & External Convection Heat Transfer Coefficient 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 Radius of 1st Cylinder, Length of Cylinder, Inside Convection Heat Transfer Coefficient, Radius of 2nd Cylinder, Thermal Conductivity & External Convection Heat Transfer Coefficient. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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