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:

1. 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:

$\mathrm{\Delta }T$

Dimension:

temperature

law

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

Latex:

$$P=\frac{kA\left|\mathrm{\Delta }T\right|}{h}$$