Amogh N P
 In loving memory of Amogh N P — Architect · Designer · Visionary 
A thick stone wall in the Ladakh mountains — the massive envelope that heat must cross.
Unit IIIClimatology & Building Physics

Heat Flow Through Buildings

How heat crosses the envelope — and how to slow it.

≈ 40 min + calculator

Heat is always trying to cross the envelope — in through a sunlit wall in summer, out through it on a cold night. How fast it crosses is the U-value, and how long it takes is the time lag. Get these right and the building does much of the climate control for free.

Learning objectives

By the end of this lesson, you will be able to — mapped to the course outcomes for Climatology & Building Physics:

1
CO3 · Understand

Identify where conduction, convection and radiation act in an envelope.

2
CO3 · Apply

Compute a U-value from layer thicknesses and conductivities.

3
CO3 · Analyse

Explain thermal mass, time lag and the decrement factor.

4
CO6 · Understand

Describe the sol-air temperature and where mass helps or hurts.

Three modes & the U-value

How heat crosses the envelope

Conduction through the solid, convection at the air films, radiation at the surfaces. Each layer's resistance R = thickness ÷ k; add them with the surface films and the U-value = 1 ÷ ΣR. Lower U insulates better.[7, 8]

How heat crosses a wall wall (solid) solar radiation conduction (through solid) outer film inner film convection (air films) Outside film → material → inside film: resistances in series.
DiagramConduction, convection and radiation acting at a wall
U-value = 1 ÷ ΣR Rso.04 plast.025 brick 230R .284 plast.017 Rsi.13 outside inside ΣR = 0.13+0.017+0.284 +0.025+0.04 = 0.496 U = 1 ÷ 0.496 ≈ 2.0 W/m²K Add every layer's R (= thickness ÷ k) plus the surface films; lower U insulates better.
DiagramA wall section as resistances in series with the U-value worked out

Conduction, convection, radiation

Through the solid material heat moves by conduction; at the inner and outer air films and in any cavity, by convection; and as solar (shortwave) and longwave radiation at the surfaces. A wall is a series of resistances: outside film → material → cavity → inside film.[7, 8]

A thick earthen (adobe) wall — high thermal mass delays and damps the daily heat swing.
PhotoA thick earthen (adobe) wall — high thermal mass delays and damps the daily heat swing.Juan Carlos Fonseca Mata · CC BY-SA 4.0 · via Wikimedia Commons
Live calculator

Compute a U-value

Edit the layer thicknesses and conductivities to see the wall's resistance and U-value update. The default 230 mm plastered brick wall comes out at about 2.0 W/m²·K.[8]

U-value calculator

Enter each layer's thickness and conductivity (k). Surface films Rsi 0.13 + Rso 0.04 are included. Lower U = better.

Internal plaster
Brick
External plaster
0.000
ΣR (m²·K/W)
0.00 W/m²K
U-value — moderate
Delay and damp

Thermal mass & time lag

Heavy walls store heat: the time lag delays the indoor peak by hours and the decrement factor shrinks the swing — a gift in hot-dry climates, a liability in warm-humid ones with hot nights.[1, 7]

Thermal mass: time lag & decrement temp time → outdoor (large swing) indoor (damped, delayed) time lag Mass delays (time lag) and shrinks (decrement factor) the daily swing — great for hot-dry.
DiagramOutdoor and indoor temperature waves showing time lag and a damped indoor swing
The contrasts

At a glance

AspectOneThe other
U-valueHigh U: poor insulation, much heat flowLow U: good insulation (the goal)
k vs Uk: a material property (per metre)U: a whole assembly (thickness + films)
Thermal massHigh mass: long time lag, damps swings (hot-dry)Low mass: fast response (warm-humid nights)
Mode in a wallConduction: through the solid materialConvection/radiation: at the surfaces & cavity
Surface filmsRsi ≈ 0.13 (inside, still air)Rso ≈ 0.04 (outside, wind strips the film)
Vocabulary

Key terms

Conduction

Heat through a solid by molecular contact — the only mode inside an opaque wall.

Convection

Heat between a surface and moving air — at the air films and in cavities.

Radiation

Heat by electromagnetic waves needing no medium — solar and longwave.

Thermal conductivity (k)

A material's heat-conducting ability (W/m·K); brick ≈ 0.81, insulation ≈ 0.04.

Thermal resistance (R)

Opposition to heat flow, R = thickness ÷ k (m²·K/W).

U-value

Thermal transmittance U = 1 ÷ ΣR (W/m²·K); lower is better.

Surface resistance

The air-film resistance at a surface: Rsi ≈ 0.13 inside, Rso ≈ 0.04 outside.

Thermal mass

A material's capacity to store heat (density × specific heat × thickness).

Time lag

The hours between the outdoor and indoor temperature peaks.

Decrement factor

The ratio of indoor to outdoor temperature swing (0–1); lower = more damping.

Sol-air temperature

A fictitious outdoor temp combining air temp, absorbed solar and longwave radiation.

Apply it

Think it through

In the calculator, swap the 230 mm brick for 150 mm AAC block (k ≈ 0.21) and watch the U-value fall. Then explain why a heavy stone wall suits Jaisalmer but a light, ventilated wall suits Chennai.

Check your understanding

Self-assessment

1. A wall with U = 0.4 versus one with U = 2.0 W/m²·K —

2. The resistance of a single material layer is —

3. Thermal mass can WORSEN comfort in —

In a nutshell

Recap

Heat crosses an envelope by conduction (through the solid), convection (air films, cavities) and radiation (surfaces).
R = thickness ÷ k; add layers + surface films for ΣR; U = 1 ÷ ΣR, and lower U is better insulation.
Thermal mass delays (time lag) and damps (decrement factor) the daily swing — good for hot-dry, risky for warm-humid.
The sol-air temperature bundles air temperature with absorbed solar and longwave radiation for sun-loaded surfaces.
The evidence

References & further reading

  1. [1]O.H. Koenigsberger et al., Manual of Tropical Housing and Building. Orient Longman.
  2. [7]B. Givoni, Man, Climate and Architecture. Elsevier.
  3. [8]ISO 6946 — Building components: thermal resistance and transmittance; ECBC 2017, Bureau of Energy Efficiency.

Further reading

  • S.V. Szokolay, Introduction to Architectural Science. Routledge.
  • O.H. Koenigsberger et al., Manual of Tropical Housing and Building.
  • ECBC User Guide. Bureau of Energy Efficiency.

Sources gathered and fact-checked June 2026. Published values vary by source, sample and method — treat as indicative and confirm against the cited standard before structural use.