Newton's law of cooling

Gives the rate at which an object loses or gains heat when its temperature differs from the surroundings, assuming the heat flow is proportional to that temperature difference. It is used for convective cooling or heating when the transfer coefficient is roughly constant.

\frac{dQ}{dt} = h A \left(T(t) - T_{\mathrm{env}}\right) = h A \Delta T(t)

What the symbols mean

rate of heat flow (W)
heat transfer coefficient (W/(m^2\cdot K))
surface area through which heat flows (m^2)
temperature of the object at time t (K)
temperature of the surroundings (K)
temperature difference T(t) - T_env (K)

About this formula

  • FieldPhysics
  • TopicThermodynamics
  • LevelUniversity
  • Also callednewton cooling law, rate of heat loss, heat transfer rate convection, cooling rate formula, heat flow rate proportional to temperature difference, convective heat transfer law
  • SourceWikidata Q2902868

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