Heat Conduction in Solids With Random Initial Conditions
Goodarz Ahmadi · ASME Journal of Heat and Mass Transfer · 1974
The problem of heat conduction in solids with random initial condition is studied. A general theory is first discussed and several examples are considered. It is observed that the homogeneity of the random initial condition is sufficient for the homogeneity of the temperature field in an unbounded domain. But in bounded domains the random temperature field becomes nonhomogeneous even though the initial condition is homogeneous.