Thermal Resistance of Composite Wall with 3 Layers in Series Calculator

✖Length 1 is the length of the first body.ⓘ Length 1 [L₁]			+10% -10%
✖Thermal Conductivity 1 is the thermal conductivity of the first body.ⓘ Thermal Conductivity 1 [k₁]			+10% -10%
✖Area of 3 Layer Wall refers to the surface area of the wall, which is the total amount of space that it occupies. It is typically measured in square units such as square feet or square meters.ⓘ Area of 3 Layer Wall [A_3wall]			+10% -10%
✖Length 2 is the length of the second body/object/section.ⓘ Length 2 [L₂]			+10% -10%
✖Thermal Conductivity 2 is the thermal conductivity of the second body.ⓘ Thermal Conductivity 2 [k₂]			+10% -10%
✖Length 3 is the length of the third body/object/section.ⓘ Length 3 [L₃]			+10% -10%
✖Thermal Conductivity 3 is the thermal conductivity of the third body.ⓘ Thermal Conductivity 3 [k₃]			+10% -10%

✖Thermal resistance of 3 layer is a heat property and a measurement of a temperature difference by which an object or material resists a heat flow.ⓘ Thermal Resistance of Composite Wall with 3 Layers in Series [R_th3]

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Formula

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Thermal Resistance of Composite Wall with 3 Layers in Series

Formula

`"R"_{"th3"} = "L"_{"1"}/("k"_{"1"}*"A"_{"3wall"})+"L"_{"2"}/("k"_{"2"}*"A"_{"3wall"})+"L"_{"3"}/("k"_{"3"}*"A"_{"3wall"})`

Example

`"0.005K/W"="2m"/("1.6W/(m*K)"*"1383.33333m²")+"5m"/("1.2W/(m*K)"*"1383.33333m²")+"6m"/("4W/(m*K)"*"1383.33333m²")`

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Thermal Resistance of Composite Wall with 3 Layers in Series Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thermal Resistance of 3 Layer = Length 1/(Thermal Conductivity 1*Area of 3 Layer Wall)+Length 2/(Thermal Conductivity 2*Area of 3 Layer Wall)+Length 3/(Thermal Conductivity 3*Area of 3 Layer Wall)
R_th3 = L₁/(k₁*A_3wall)+L₂/(k₂*A_3wall)+L₃/(k₃*A_3wall)
This formula uses 8 Variables

Variables Used

Thermal Resistance of 3 Layer - (Measured in Kelvin per Watt) - Thermal resistance of 3 layer is a heat property and a measurement of a temperature difference by which an object or material resists a heat flow.
Length 1 - (Measured in Meter) - Length 1 is the length of the first body.
Thermal Conductivity 1 - (Measured in Watt per Meter per K) - Thermal Conductivity 1 is the thermal conductivity of the first body.
Area of 3 Layer Wall - (Measured in Square Meter) - Area of 3 Layer Wall refers to the surface area of the wall, which is the total amount of space that it occupies. It is typically measured in square units such as square feet or square meters.
Length 2 - (Measured in Meter) - Length 2 is the length of the second body/object/section.
Thermal Conductivity 2 - (Measured in Watt per Meter per K) - Thermal Conductivity 2 is the thermal conductivity of the second body.
Length 3 - (Measured in Meter) - Length 3 is the length of the third body/object/section.
Thermal Conductivity 3 - (Measured in Watt per Meter per K) - Thermal Conductivity 3 is the thermal conductivity of the third body.

STEP 1: Convert Input(s) to Base Unit

Length 1: 2 Meter --> 2 Meter No Conversion Required
Thermal Conductivity 1: 1.6 Watt per Meter per K --> 1.6 Watt per Meter per K No Conversion Required
Area of 3 Layer Wall: 1383.33333 Square Meter --> 1383.33333 Square Meter No Conversion Required
Length 2: 5 Meter --> 5 Meter No Conversion Required
Thermal Conductivity 2: 1.2 Watt per Meter per K --> 1.2 Watt per Meter per K No Conversion Required
Length 3: 6 Meter --> 6 Meter No Conversion Required
Thermal Conductivity 3: 4 Watt per Meter per K --> 4 Watt per Meter per K No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_th3 = L₁/(k₁*A_3wall)+L₂/(k₂*A_3wall)+L₃/(k₃*A_3wall) --> 2/(1.6*1383.33333)+5/(1.2*1383.33333)+6/(4*1383.33333)

Evaluating ... ...

R_th3 = 0.00500000001204819

STEP 3: Convert Result to Output's Unit

0.00500000001204819 Kelvin per Watt --> No Conversion Required

FINAL ANSWER

0.00500000001204819 ≈ 0.005 Kelvin per Watt <-- Thermal Resistance of 3 Layer

(Calculation completed in 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » Conduction » Conduction in Plane Wall » 3 Layers » Thermal Resistance of Composite Wall with 3 Layers in Series

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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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< 6 3 Layers Calculators

Heat Flow Rate through Composite Wall of 3 Layers in Series

Go Heat Flow Rate 3 Layer = (Inner Surface Temperature 3 Layer Wall-Outer Surface Temperature 3 Layer)/(Length 1/(Thermal Conductivity 1*Area of 3 Layer Wall)+Length 2/(Thermal Conductivity 2*Area of 3 Layer Wall)+Length 3/(Thermal Conductivity 3*Area of 3 Layer Wall))

Outer Surface Temperature of Composite Wall of 3 Layers for Conduction

Go Outer Surface Temperature 3 Layer = Inner Surface Temperature 3 Layer Wall-Heat Flow Rate 3 Layer*(Length 1/(Thermal Conductivity 1*Area of 3 Layer Wall)+Length 2/(Thermal Conductivity 2*Area of 3 Layer Wall)+Length 3/(Thermal Conductivity 3*Area of 3 Layer Wall))

Inner Surface Temperature of Composite Wall of 3 Layers in Series

Go Inner Surface Temperature 3 Layer Wall = Outer Surface Temperature 3 Layer+Heat Flow Rate 3 Layer*(Length 1/(Thermal Conductivity 1*Area of 3 Layer Wall)+Length 2/(Thermal Conductivity 2*Area of 3 Layer Wall)+Length 3/(Thermal Conductivity 3*Area of 3 Layer Wall))

Length of 3rd Layer of Composite Wall in Conduction through Walls

Go Length 3 = Thermal Conductivity 3*Area of 3 Layer Wall*((Inner Surface Temperature 3 Layer Wall-Outer Surface Temperature 3 Layer)/Heat Flow Rate 3 Layer-Length 1/(Thermal Conductivity 1*Area of 3 Layer Wall)-Length 2/(Thermal Conductivity 2*Area of 3 Layer Wall))

Area of Composite Wall of 3 Layers

Go Area of 3 Layer Wall = Heat Flow Rate 3 Layer/(Inner Surface Temperature 3 Layer Wall-Outer Surface Temperature 3 Layer)*(Length 1/Thermal Conductivity 1+Length 2/Thermal Conductivity 2+Length 3/Thermal Conductivity 3)

Thermal Resistance of Composite Wall with 3 Layers in Series

Go Thermal Resistance of 3 Layer = Length 1/(Thermal Conductivity 1*Area of 3 Layer Wall)+Length 2/(Thermal Conductivity 2*Area of 3 Layer Wall)+Length 3/(Thermal Conductivity 3*Area of 3 Layer Wall)

Thermal Resistance of Composite Wall with 3 Layers in Series 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 Thermal Resistance of Composite Wall with 3 Layers in Series?

Thermal Resistance of Composite Wall with 3 Layers in Series calculator uses Thermal Resistance of 3 Layer = Length 1/(Thermal Conductivity 1*Area of 3 Layer Wall)+Length 2/(Thermal Conductivity 2*Area of 3 Layer Wall)+Length 3/(Thermal Conductivity 3*Area of 3 Layer Wall) to calculate the Thermal Resistance of 3 Layer, The Thermal Resistance of Composite Wall with 3 Layers in Series formula is defined as the total thermal resistance of a 3-layered composite wall, with the walls placed in series. Thermal Resistance of 3 Layer is denoted by R_th3 symbol.

How to calculate Thermal Resistance of Composite Wall with 3 Layers in Series using this online calculator? To use this online calculator for Thermal Resistance of Composite Wall with 3 Layers in Series, enter Length 1 (L₁), Thermal Conductivity 1 (k₁), Area of 3 Layer Wall (A_3wall), Length 2 (L₂), Thermal Conductivity 2 (k₂), Length 3 (L₃) & Thermal Conductivity 3 (k₃) and hit the calculate button. Here is how the Thermal Resistance of Composite Wall with 3 Layers in Series calculation can be explained with given input values -> 0.005 = 2/(1.6*1383.33333)+5/(1.2*1383.33333)+6/(4*1383.33333).

FAQ

What is Thermal Resistance of Composite Wall with 3 Layers in Series?

The Thermal Resistance of Composite Wall with 3 Layers in Series formula is defined as the total thermal resistance of a 3-layered composite wall, with the walls placed in series and is represented as R_th3 = L₁/(k₁*A_3wall)+L₂/(k₂*A_3wall)+L₃/(k₃*A_3wall) or Thermal Resistance of 3 Layer = Length 1/(Thermal Conductivity 1*Area of 3 Layer Wall)+Length 2/(Thermal Conductivity 2*Area of 3 Layer Wall)+Length 3/(Thermal Conductivity 3*Area of 3 Layer Wall). Length 1 is the length of the first body, Thermal Conductivity 1 is the thermal conductivity of the first body, Area of 3 Layer Wall refers to the surface area of the wall, which is the total amount of space that it occupies. It is typically measured in square units such as square feet or square meters, Length 2 is the length of the second body/object/section, Thermal Conductivity 2 is the thermal conductivity of the second body, Length 3 is the length of the third body/object/section & Thermal Conductivity 3 is the thermal conductivity of the third body.

How to calculate Thermal Resistance of Composite Wall with 3 Layers in Series?

The Thermal Resistance of Composite Wall with 3 Layers in Series formula is defined as the total thermal resistance of a 3-layered composite wall, with the walls placed in series is calculated using Thermal Resistance of 3 Layer = Length 1/(Thermal Conductivity 1*Area of 3 Layer Wall)+Length 2/(Thermal Conductivity 2*Area of 3 Layer Wall)+Length 3/(Thermal Conductivity 3*Area of 3 Layer Wall). To calculate Thermal Resistance of Composite Wall with 3 Layers in Series, you need Length 1 (L₁), Thermal Conductivity 1 (k₁), Area of 3 Layer Wall (A_3wall), Length 2 (L₂), Thermal Conductivity 2 (k₂), Length 3 (L₃) & Thermal Conductivity 3 (k₃). With our tool, you need to enter the respective value for Length 1, Thermal Conductivity 1, Area of 3 Layer Wall, Length 2, Thermal Conductivity 2, Length 3 & Thermal Conductivity 3 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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