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Thermal Resistance of Composite Wall with 3 Layers in Series Formula

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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. Check FAQs

R th3 = \frac{L 1}{k 1 \cdot A w3} + \frac{L 2}{k 2 \cdot A w3} + \frac{L 3}{k 3 \cdot A w3}

R_th3 - Thermal Resistance of 3 Layer?L₁ - Length 1?k₁ - Thermal Conductivity 1?A_w3 - Area of 3 Layer Wall?L₂ - Length 2?k₂ - Thermal Conductivity 2?L₃ - Length 3?k₃ - Thermal Conductivity 3?

Thermal Resistance of Composite Wall with 3 Layers in Series Example

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Here is how the Thermal Resistance of Composite Wall with 3 Layers in Series equation looks like with Values.

Here is how the Thermal Resistance of Composite Wall with 3 Layers in Series equation looks like with Units.

Here is how the Thermal Resistance of Composite Wall with 3 Layers in Series equation looks like.

0.005 = \frac{2}{1.6 \cdot 1383.3333} + \frac{5}{1.2 \cdot 1383.3333} + \frac{6}{4 \cdot 1383.3333}

0.005K/W = \frac{2m}{1.6W/(m*K) \cdot 1383.3333m²} + \frac{5m}{1.2W/(m*K) \cdot 1383.3333m²} + \frac{6m}{4W/(m*K) \cdot 1383.3333m²}

0.005 = \frac{2}{1.6 \cdot 1383.3333} + \frac{5}{1.2 \cdot 1383.3333} + \frac{6}{4 \cdot 1383.3333}

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Thermal Resistance of Composite Wall with 3 Layers in Series Solution

Follow our step by step solution on how to calculate Thermal Resistance of Composite Wall with 3 Layers in Series?

FIRST Step Consider the formula

R th3 = \frac{L 1}{k 1 \cdot A w3} + \frac{L 2}{k 2 \cdot A w3} + \frac{L 3}{k 3 \cdot A w3}

Next Step Substitute values of Variables

∴

R th3 = \frac{2m}{1.6W/(m*K) \cdot 1383.3333m²} + \frac{5m}{1.2W/(m*K) \cdot 1383.3333m²} + \frac{6m}{4W/(m*K) \cdot 1383.3333m²}

Next Step Prepare to Evaluate

∴

R th3 = \frac{2}{1.6 \cdot 1383.3333} + \frac{5}{1.2 \cdot 1383.3333} + \frac{6}{4 \cdot 1383.3333}

Next Step Evaluate

∴

R th3 = 0.00500000001204819K/W

LAST Step Rounding Answer

∴

R th3 = 0.005K/W

Thermal Resistance of Composite Wall with 3 Layers in Series Formula Elements

Variables

Thermal Resistance of 3 Layer

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.

Symbol: R_th3

Measurement: Thermal ResistanceUnit: K/W

Note: Value should be greater than 0.

Length 1

Length 1 is the length of the first body.

Symbol: L₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Thermal Conductivity 1

Thermal Conductivity 1 is the thermal conductivity of the first body.

Symbol: k₁

Measurement: Thermal ConductivityUnit: W/(m*K)

Note: Value should be greater than 0.

Area of 3 Layer Wall

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.

Symbol: A_w3

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Length 2

Length 2 is the length of the second body/object/section.

Symbol: L₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Thermal Conductivity 2

Thermal Conductivity 2 is the thermal conductivity of the second body.

Symbol: k₂

Measurement: Thermal ConductivityUnit: W/(m*K)

Note: Value should be greater than 0.

Length 3

Length 3 is the length of the third body/object/section.

Symbol: L₃

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Thermal Conductivity 3

Thermal Conductivity 3 is the thermal conductivity of the third body.

Symbol: k₃

Measurement: Thermal ConductivityUnit: W/(m*K)

Note: Value should be greater than 0.

Credits

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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 Formula and 100+ more formulas!

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Verified by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has verified this Formula and 300+ more formulas!

Other formulas in 3 Layers category

Go Outer Surface Temperature of Composite Wall of 3 Layers for Conduction

T o3 = T i3 - Q l3 \cdot (\frac{L 1}{k 1 \cdot A w3} + \frac{L 2}{k 2 \cdot A w3} + \frac{L 3}{k 3 \cdot A w3})

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

T i3 = T o3 + Q l3 \cdot (\frac{L 1}{k 1 \cdot A w3} + \frac{L 2}{k 2 \cdot A w3} + \frac{L 3}{k 3 \cdot A w3})

See More

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

Thermal Resistance of Composite Wall with 3 Layers in Series evaluator 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 evaluate 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 evaluate Thermal Resistance of Composite Wall with 3 Layers in Series using this online evaluator? To use this online evaluator 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_w3), Length 2 (L₂), Thermal Conductivity 2 (k₂), Length 3 (L₃) & Thermal Conductivity 3 (k₃) and hit the calculate button.

FAQs on Thermal Resistance of Composite Wall with 3 Layers in Series

What is the formula to find Thermal Resistance of Composite Wall with 3 Layers in Series?

The formula of Thermal Resistance of Composite Wall with 3 Layers in Series is expressed as 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). Here is an example- 0.005 = 2/(1.6*1383.33333)+5/(1.2*1383.33333)+6/(4*1383.33333).

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

With Length 1 (L₁), Thermal Conductivity 1 (k₁), Area of 3 Layer Wall (A_w3), Length 2 (L₂), Thermal Conductivity 2 (k₂), Length 3 (L₃) & Thermal Conductivity 3 (k₃) we can find Thermal Resistance of Composite Wall with 3 Layers in Series using the formula - 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).

Can the Thermal Resistance of Composite Wall with 3 Layers in Series be negative?

No, the Thermal Resistance of Composite Wall with 3 Layers in Series, measured in Thermal Resistance cannot be negative.

Which unit is used to measure Thermal Resistance of Composite Wall with 3 Layers in Series?

Thermal Resistance of Composite Wall with 3 Layers in Series is usually measured using the Kelvin per Watt[K/W] for Thermal Resistance. Degree Fahrenheit hour per Btu (IT)[K/W], Degree Fahrenheit Hour per Btu (th)[K/W], Kelvin per Milliwatt[K/W] are the few other units in which Thermal Resistance of Composite Wall with 3 Layers in Series can be measured.

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