Physics 312 Lecture: "Transfer of heat by Conduction"
May 14, 1998
Conduction is one mechanism by which heat can be transferred
from one object to another (the others are convection
and radiation).
When one end of a material is heated, the atoms there move more
quickly (or vibrate more quickly in place); they jostle
neighbors, and so forth, transferring energy through the material.
Thermal conductors move heat rapidly: they have large values of
thermal conductivity "k"; thermal insulators transmit
heat slowly: they have small values of "k"
Heat is transferred by conduction at a rate
dQ/dt = - k * A * dT/dx
In a uniform medium, the gradient "dT/dx" may be replaced by
"delta_T / length"
When several layers of material with different thermal conductivity
are sandwiched together, the overall heat flow rate may
be determined by calculating the overall "R-value"
R(tot) = sum of L/k
and using it in the equation
dQ/dt = A * delta_T / R(tot)
This lecture discusses material in Chapter 20 of Serway.