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Newton's Law of Cooling

Newton's law of cooling states that the rate of heat loss of a body is directly proportional to the difference in the temperatures between the body and its surroundings, provided the temperature difference is small and the nature of the radiating surface remains the same.

The heat transfer rate equals the product of the area, heat transfer coefficient and the difference between the equilibrium temperature and the current temperature.

Formula

QuantityVariable[Style["dQ", Italic]/Style["dt", Italic], "Power"] == QuantityVariable["A", "Area"]*QuantityVariable["h", "HeatTransferCoefficient"]*(-QuantityVariable["T", "Temperature"] + QuantityVariable[Subscript["T", "2"], "Temperature"])

symbol description physical quantity
dQ/dt heat transfer rate "Power"
A area "Area"
h heat transfer coefficient "HeatTransferCoefficient"
T temperature "Temperature"
T2 equilibrium temperature "Temperature"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Newton's Law of Cooling"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Newton's Law of Cooling"]]
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Use some values:

In[3]:=
FormulaData[ ResourceObject["Newton's Law of Cooling"], {QuantityVariable[(\!\(\* StyleBox["\<\"dQ\"\>", StripOnInput->False, FontSlant->Italic]\))/(\!\(\* StyleBox["\<\"dt\"\>", StripOnInput->False, FontSlant->Italic]\)),"Power"] -> Quantity[1, "Watts"]}]
Out[3]=

Source Metadata

  • Creator:
  • Date: 1701

Publisher Information