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How do you calculate UV value?

Published in Building Thermal Performance 2 mins read

The UV value, specifically referring to the U-value in the context of building elements, is calculated using a formula that considers thermal resistances. It essentially measures how well a building material or assembly prevents heat transfer, with a lower U-value indicating better insulation.

Understanding U-Value

The U-value is the inverse of the total thermal resistance of a building component. It's often expressed in Watts per square meter per degree Kelvin (W/m²K). To calculate it, you'll need to understand thermal resistances, denoted as "R".

Key Components in Calculation

  • Rso (External Surface Resistance): The resistance of the air film on the external surface of a building component. This is a fixed value.
  • Rsi (Internal Surface Resistance): The resistance of the air film on the internal surface of a building component. This is also a fixed value.
  • R1, R2, ... (Resistances of Material Layers): Each layer of material in the construction has its own thermal resistance. This is based on the material's thickness and thermal conductivity.
  • Cavity Resistances: The air spaces within the wall can also contribute to thermal resistance depending on whether it is ventilated or unventilated.

U-Value Calculation Formula

The U-value is calculated as follows:

U-Value = 1 / (Rso + Rsi + R1 + R2 + ...)

Where:

  • U-Value: Thermal transmittance (W/m²K)
  • Rso: External surface resistance (m²K/W)
  • Rsi: Internal surface resistance (m²K/W)
  • R1, R2,...: Thermal resistance of each layer (m²K/W)

Example Calculation

Let's illustrate with a simple example: Assume a wall is composed of:

  • External Surface Resistance (Rso) = 0.04 (m²K/W)
  • Internal Surface Resistance (Rsi) = 0.13 (m²K/W)
  • Brick Layer (R1)= 0.2 (m²K/W)
  • Insulation Layer (R2)= 2.5 (m²K/W)
  • Plaster Layer (R3) = 0.04 (m²K/W)

To calculate the U-value:

  1. Calculate Total Resistance (Rt): Rt= Rso + Rsi + R1 + R2+R3= 0.04 + 0.13 + 0.2+ 2.5+ 0.04= 2.91 (m²K/W)
  2. Calculate U-Value: U-Value= 1/Rt = 1/2.91 = 0.34 (W/m²K)

Therefore, the U-value of this composite wall is 0.34 W/m²K.

Key Takeaways

  • U-values are crucial for understanding the thermal performance of building materials.
  • Lower U-values signify better insulation, leading to less heat loss or gain.
  • The U-value calculation considers surface resistances and the thermal resistance of each layer.
  • It's a fundamental calculation for building design and energy efficiency.