Inner Surface Temperature of Composite Wall of 3 Layers in Series Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
Ti3 = To3+Q3layer*(L1/(k1*A3wall)+L2/(k2*A3wall)+L3/(k3*A3wall))
This formula uses 10 Variables
Variables Used
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.
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.
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
Outer Surface Temperature 3 Layer: 300 Kelvin --> 300 Kelvin No Conversion Required
Heat Flow Rate 3 Layer: 150 Watt --> 150 Watt 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
Ti3 = To3+Q3layer*(L1/(k1*A3wall)+L2/(k2*A3wall)+L3/(k3*A3wall)) --> 300+150*(2/(1.6*1383.33333)+5/(1.2*1383.33333)+6/(4*1383.33333))
Evaluating ... ...
Ti3 = 300.750000001807
STEP 3: Convert Result to Output's Unit
300.750000001807 Kelvin --> No Conversion Required
FINAL ANSWER
300.750000001807 300.75 Kelvin <-- Inner Surface Temperature 3 Layer Wall
(Calculation completed in 00.020 seconds)

Credits

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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)

Inner Surface Temperature of Composite Wall of 3 Layers in Series Formula

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))
Ti3 = To3+Q3layer*(L1/(k1*A3wall)+L2/(k2*A3wall)+L3/(k3*A3wall))

What is a composite wall?

A wall built of a combination of two or more masonry units of different types of materials that are bonded together, one forming the facing of the wall and the other the backup

How to Calculate Inner Surface Temperature of Composite Wall of 3 Layers in Series?

Inner Surface Temperature of Composite Wall of 3 Layers in Series calculator uses 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)) to calculate the Inner Surface Temperature 3 Layer Wall, The Inner Surface Temperature of Composite Wall of 3 Layers in Series formula is defined as the temperature at the inner surface of the composite wall of 2 layers when the heat flow rate, outer surface temperature, length/thickness of the layers and area of the wall perpendicular to the heat flow are known. Inner Surface Temperature 3 Layer Wall is denoted by Ti3 symbol.

How to calculate Inner Surface Temperature of Composite Wall of 3 Layers in Series using this online calculator? To use this online calculator for Inner Surface Temperature of Composite Wall of 3 Layers in Series, enter Outer Surface Temperature 3 Layer (To3), Heat Flow Rate 3 Layer (Q3layer), Length 1 (L1), Thermal Conductivity 1 (k1), Area of 3 Layer Wall (A3wall), Length 2 (L2), Thermal Conductivity 2 (k2), Length 3 (L3) & Thermal Conductivity 3 (k3) and hit the calculate button. Here is how the Inner Surface Temperature of Composite Wall of 3 Layers in Series calculation can be explained with given input values -> 400.75 = 300+150*(2/(1.6*1383.33333)+5/(1.2*1383.33333)+6/(4*1383.33333)).

FAQ

What is Inner Surface Temperature of Composite Wall of 3 Layers in Series?
The Inner Surface Temperature of Composite Wall of 3 Layers in Series formula is defined as the temperature at the inner surface of the composite wall of 2 layers when the heat flow rate, outer surface temperature, length/thickness of the layers and area of the wall perpendicular to the heat flow are known and is represented as Ti3 = To3+Q3layer*(L1/(k1*A3wall)+L2/(k2*A3wall)+L3/(k3*A3wall)) or 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)). 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, 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, 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 Inner Surface Temperature of Composite Wall of 3 Layers in Series?
The Inner Surface Temperature of Composite Wall of 3 Layers in Series formula is defined as the temperature at the inner surface of the composite wall of 2 layers when the heat flow rate, outer surface temperature, length/thickness of the layers and area of the wall perpendicular to the heat flow are known is calculated using 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)). To calculate Inner Surface Temperature of Composite Wall of 3 Layers in Series, you need Outer Surface Temperature 3 Layer (To3), Heat Flow Rate 3 Layer (Q3layer), Length 1 (L1), Thermal Conductivity 1 (k1), Area of 3 Layer Wall (A3wall), 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 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, 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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