EngiRef / Thermodynamics Engineering Formula

Newton's Law of Cooling

Newton's Law of Cooling: Heat transfer by convection. A Heat Transfer formula in thermodynamics engineering. Variables Q, h, A, Tₛ and T∞, each with SI and…

Heat Transfer

Specification

Name
Newton's Law of Cooling
Discipline
thermodynamics
Category
Heat Transfer
LaTeX
Q = hA(T_s - T_\infty)
Description
Heat transfer by convection
Conditions
Convection coefficient h assumed constant
Can solve for
Q, h, A
Tags
convection, newton, cooling, heat transfer

Variables

Variables for Newton's Law of Cooling
SymbolNameUnitSi UnitImperial Unit
QHeat Transfer RateWWBTU/hr
hConvection CoefficientW/(m²·K)W/(m²·K)BTU/(hr·ft²·°F)
ASurface Areaft²
TₛSurface TemperatureKK°F
T∞Fluid TemperatureKK°F

Common questions

What is the Newton's Law of Cooling formula?
Heat transfer by convection. It sits under Heat Transfer, Thermo engineering in the EngiRef reference.
What do the symbols in the Newton's Law of Cooling formula mean?
In Newton's Law of Cooling, Q is heat transfer rate in W; h is convection coefficient in W/(m²·K); A is surface area in m²; Tₛ is surface temperature in K; T∞ is fluid temperature in K.
When does the Newton's Law of Cooling formula apply?
Newton's Law of Cooling holds under this condition: Convection coefficient h assumed constant.