Rate of energy conduction through slab¶

The rate at which energy is conducted through a slab for which one face is maintained at a higher temperature than the other face is proportional to the temperature difference of the faces and its face area and inversely proportional to its length.

Links:

Physics LibreTexts, formula 14.5.1.

energy_conduction_rate¶: Rate of energy conductivity through the slab. See power.

Symbol:: P
Latex:: \(P\)
Dimension:: power

thermal_conductivity¶: thermal_conductivity of the slab’s material.

Symbol:: k
Latex:: \(k\)
Dimension:: power/(length*temperature)

face_area¶: area of the face of the slab.

Symbol:: A
Latex:: \(A\)
Dimension:: area

slab_thickness¶: Distance between the two faces of the slab. See thickness.

Symbol:: h
Latex:: \(h\)
Dimension:: length

temperature_difference¶: temperature difference between the two faces of the slab.

Symbol:: Delta(T)
Latex:: \(\Delta T\)
Dimension:: temperature

law¶

P = k * A * Abs(Delta(T)) / h

Latex:: \[P = \frac{k A \left|{\Delta T}\right|}{h}\]