Heat Flow Rate through Composite Wall of 3 Layers in Series Calculator

✖Inner Surface Temperature 3 layer wall is the temperature at the inner surface of the wall (either plane wall or cylindrical wall or spherical wall, etc).ⓘ Inner Surface Temperature 3 Layer Wall [T_i3]			+10% -10%
✖Outer Surface Temperature 3 layer is the temperature at the outer surface of the wall either plane wall or cylindrical wall or spherical wall, etc.ⓘ Outer Surface Temperature 3 Layer [T_o3]			+10% -10%
✖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%

✖Heat Flow Rate 3 Layer is the amount of heat that is transferred per unit of time in some material, usually measured in watt. Heat is the flow of thermal energy driven by thermal non-equilibrium.ⓘ Heat Flow Rate through Composite Wall of 3 Layers in Series [Q_3layer]

⎘ Copy

👎

Formula

✖

Heat Flow Rate through Composite Wall of 3 Layers in Series

Formula

`"Q"_{"3layer"} = ("T"_{"i3"}-"T"_{"o3"})/("L"_{"1"}/("k"_{"1"}*"A"_{"3wall"})+"L"_{"2"}/("k"_{"2"}*"A"_{"3wall"})+"L"_{"3"}/("k"_{"3"}*"A"_{"3wall"}))`

Example

`"150W"=("300.75K"-"300K")/("2m"/("1.6W/(m*K)"*"1383.33333m²")+"5m"/("1.2W/(m*K)"*"1383.33333m²")+"6m"/("4W/(m*K)"*"1383.33333m²"))`

Calculator

LaTeX

Reset

👍

Download Conduction in Plane Wall Formulas PDF PDF Image

Heat Flow Rate through Composite Wall of 3 Layers in Series Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
Q_3layer = (T_i3-T_o3)/(L₁/(k₁*A_3wall)+L₂/(k₂*A_3wall)+L₃/(k₃*A_3wall))
This formula uses 10 Variables

Variables Used

Heat Flow Rate 3 Layer - (Measured in Watt) - Heat Flow Rate 3 Layer is the amount of heat that is transferred per unit of time in some material, usually measured in watt. Heat is the flow of thermal energy driven by thermal non-equilibrium.
Inner Surface Temperature 3 Layer Wall - (Measured in Kelvin) - Inner Surface Temperature 3 layer wall is the temperature at the inner surface of the wall (either plane wall or cylindrical wall or spherical wall, etc).
Outer Surface Temperature 3 Layer - (Measured in Kelvin) - Outer Surface Temperature 3 layer is the temperature at the outer surface of the wall either plane wall or cylindrical wall or spherical wall, etc.
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

Inner Surface Temperature 3 Layer Wall: 300.75 Kelvin --> 300.75 Kelvin No Conversion Required
Outer Surface Temperature 3 Layer: 300 Kelvin --> 300 Kelvin No Conversion Required
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

Q_3layer = (T_i3-T_o3)/(L₁/(k₁*A_3wall)+L₂/(k₂*A_3wall)+L₃/(k₃*A_3wall)) --> (300.75-300)/(2/(1.6*1383.33333)+5/(1.2*1383.33333)+6/(4*1383.33333))

Evaluating ... ...

Q_3layer = 149.999999638554

STEP 3: Convert Result to Output's Unit

149.999999638554 Watt --> No Conversion Required

FINAL ANSWER

149.999999638554 ≈ 150 Watt <-- Heat Flow Rate 3 Layer

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Heat and Mass Transfer » Conduction » Conduction in Plane Wall » 3 Layers » Heat Flow Rate through Composite Wall of 3 Layers in Series

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!

< 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)

Heat Flow Rate through Composite Wall of 3 Layers in Series Formula

What is heat flow rate?

The rate of heat flow is the amount of heat that is transferred per unit of time in some material, usually measured in watt. Heat is the flow of thermal energy driven by thermal non-equilibrium.

How to Calculate Heat Flow Rate through Composite Wall of 3 Layers in Series?

Heat Flow Rate through Composite Wall of 3 Layers in Series calculator uses 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)) to calculate the Heat Flow Rate 3 Layer, The Heat Flow Rate through Composite Wall of 3 Layers in Series formula is defined as the rate of heat flow through a composite of 3 layers in series when the inner and outer surface temperatures, lengths/thickness of the layers, area and thermal conductivities are known. Heat Flow Rate 3 Layer is denoted by Q_3layer symbol.

How to calculate Heat Flow Rate through Composite Wall of 3 Layers in Series using this online calculator? To use this online calculator for Heat Flow Rate through Composite Wall of 3 Layers in Series, enter Inner Surface Temperature 3 Layer Wall (T_i3), Outer Surface Temperature 3 Layer (T_o3), 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 Heat Flow Rate through Composite Wall of 3 Layers in Series calculation can be explained with given input values -> -19849.999952 = (300.75-300)/(2/(1.6*1383.33333)+5/(1.2*1383.33333)+6/(4*1383.33333)).

FAQ

What is Heat Flow Rate through Composite Wall of 3 Layers in Series?

The Heat Flow Rate through Composite Wall of 3 Layers in Series formula is defined as the rate of heat flow through a composite of 3 layers in series when the inner and outer surface temperatures, lengths/thickness of the layers, area and thermal conductivities are known and is represented as Q_3layer = (T_i3-T_o3)/(L₁/(k₁*A_3wall)+L₂/(k₂*A_3wall)+L₃/(k₃*A_3wall)) or 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)). Inner Surface Temperature 3 layer wall is the temperature at the inner surface of the wall (either plane wall or cylindrical wall or spherical wall, etc), Outer Surface Temperature 3 layer is the temperature at the outer surface of the wall either plane wall or cylindrical wall or spherical wall, etc, 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 Heat Flow Rate through Composite Wall of 3 Layers in Series?

The Heat Flow Rate through Composite Wall of 3 Layers in Series formula is defined as the rate of heat flow through a composite of 3 layers in series when the inner and outer surface temperatures, lengths/thickness of the layers, area and thermal conductivities are known is calculated using 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)). To calculate Heat Flow Rate through Composite Wall of 3 Layers in Series, you need Inner Surface Temperature 3 Layer Wall (T_i3), Outer Surface Temperature 3 Layer (T_o3), 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 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, 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.

Home

FREE PDFs

🔍 Search