Building & Environment
Heat Loss: $Q = U \cdot A \cdot \Delta T$ (W)
$R_i=0.13,\; R_o=0.04$ m²K/W
Annual Energy: $E = Q \cdot t / 1000$ (kWh)
Set insulation properties for walls, roof, floor, windows, and doors to calculate heat loss in real time. Visualize U-values and annual heating energy - and instantly see the impact of insulation upgrades.
The core concept is thermal transmittance, or the U-value. It quantifies how well a wall, roof, or window insulates. It's calculated from the thermal resistances of the materials and the inside/outside surface resistances.
$$U = \frac{1}{R_i + \frac{L}{k} + R_o}$$Where:
$U$ = Thermal transmittance (W/m²K)
$R_i$ = Internal surface resistance (≈0.13 m²K/W)
$R_o$ = External surface resistance (≈0.04 m²K/W)
$L$ = Thickness of the material (m) - This is what you adjust with the sliders!
$k$ = Thermal conductivity of the material (W/mK) - This changes when you select different materials (e.g., brick vs. fiberglass).
The steady-state heat loss through a building component is directly proportional to its U-value, its area, and the temperature difference between inside and outside.
$$Q = U \cdot A \cdot \Delta T$$Where:
$Q$ = Heat loss power (Watts)
$A$ = Area of the component (m²)
$\Delta T$ = Temperature difference (Kelvin or °C)
The total building heat loss is the sum of $Q$ for all components: $Q_{total}= Q_{walls}+ Q_{roof}+ Q_{windows}+ Q_{doors}$.
Building Code Compliance & Design: Architects and engineers use these exact calculations to ensure new buildings meet energy efficiency regulations. By simulating different wall assemblies and window types, they can optimize the design for both performance and cost before construction begins.
Home Energy Audits & Retrofits: Energy auditors perform heat loss calculations to identify the most cost-effective upgrades for existing homes. A simulator like this helps homeowners understand why adding attic insulation or replacing old windows will have the biggest impact on their heating bills.
Sizing Heating Systems: HVAC engineers must correctly size boilers and furnaces. The total heat loss ($Q_{total}$) determines the required heating capacity. An undersized system won't keep the building warm, while an oversized one is inefficient and costly.
Sustainability & Carbon Footprint Analysis: By converting annual energy use (kWh) to equivalent CO2 emissions, policymakers and builders can assess the environmental impact of different construction standards and set targets for reducing the carbon footprint of the built environment.
First, note that a lower U-value is not always absolutely better. While it means higher insulation performance, you face trade-offs with material costs, construction costs, and a reduction in living space due to thicker walls. For instance, halving the U-value from 0.2 to 0.1 often requires more than doubling the insulation thickness, worsening cost-effectiveness. In practice, it's crucial to identify this point of "diminishing returns".
Next, understand that this simulation is fundamentally based on "steady-state calculation". This means it does not account for the effects of changing outdoor temperatures or solar radiation over time, nor for "transient phenomena" like the gradual rise in room temperature after turning on the heater. Think of it as calculating the "instantaneous peak" of heat loss under a fixed set of conditions (e.g., the coldest day). To determine the actual annual heating load, you need a dynamic load calculation (non-steady-state) that considers temperature fluctuations and solar heat gain.
Finally, there's a common pitfall: overlooking "heat loss from air leakage (infiltration)". This tool calculates losses through "surfaces" like walls and windows via conduction, convection, and radiation. However, in real buildings, air leakage through window frame gaps or pipe penetrations can account for 20-40% of total heat loss. Even if you choose high-performance insulation, its effectiveness can be ruined by inadequate airtight construction.
A residential wall: 50 m² area, 300 mm total thickness (100 mm concrete + 150 mm mineral wool + 50 mm plasterboard). Indoor temperature 20°C, outdoor −10°C. Concrete U-value ≈0.8 W/m·K (uninsulated), mineral wool layer reduces composite U-value to ≈0.25 W/m·K. Heat loss = 0.25 × 50 × (20 − (−10)) = 375 W. Over 2,500 heating degree-days annually, energy demand ≈ 0.375 kW × 2,500 h ≈ 937 kWh/year for that wall alone.