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Energy Performance of Buildings

U-values and the heat flow equation

  • 3 things to know
  • A2 1

Overview

The unit and meaning of U-value, Q = U × A × ΔT, conductivity, thickness and layers, thermal resistance, typical U-values for glazing and walls, worked window, wall, roof and whole-house heat loss calculations, and the equation's limits.

What you need to know

Answer each one before you reveal it.

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Key term

Give the unit of U-value and explain what it measures.

Key term

State the equation linking rate of heat flow, U-value, area and temperature difference.

Key term

Why do different construction materials have different U-values?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Give the unit of U-value and explain what it measures.

    Model answer

    The unit of U-value is W/m²K. A U-value is the rate of heat flow through 1 m² of an element for each kelvin of temperature difference.

  2. 2

    State the equation linking rate of heat flow, U-value, area and temperature difference.

    Model answer

    Q = U × A × ΔT, so heat flow equals the U-value multiplied by the area and the temperature difference. Q is in watts when U is in W/m²K, A in m² and ΔT in °C or K.

  3. 3

    Why do different construction materials have different U-values?

    Model answer

    Materials conduct heat at different rates, measured by their thermal conductivity. Dense materials such as concrete and metal conduct well, while materials that trap air conduct poorly.

  4. 4

    How does the thickness of a layer affect its U-value?

    Model answer

    A thicker layer of the same material has a lower U-value, because heat must travel further through it. A single layer of double the thickness has roughly half the U-value.

  5. 5

    How is the U-value of a wall made of several layers found?

    Model answer

    The thermal resistance of each layer is found and the resistances are added together. The U-value is the reciprocal of the total, U = 1 ÷ ΣR.

  6. 6

    A 0.10 m layer of mineral wool has a thermal conductivity of 0.040 W/mK. What is its thermal resistance?

    Model answer

    The layer's thermal resistance is 2.5 m²K/W. The working is thickness ÷ conductivity = 0.10 ÷ 0.040 = 2.5 m²K/W.

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