A. Sengupta et al., EFFECT OF INHOMOGENEOUS THERMAL-CONDUCTIVITY ON STEADY PERIODIC HEAT-FLOW THROUGH SEMIINFINITE MEDIA, International journal of energy research, 19(1), 1995, pp. 7-11
The paper presents an analysis of the periodic temperature distributio
n in a semi-infinite medium with continuous inhomogeneity in thermal c
onductivity, and evaluates its effect on the heat flux at the surface.
This analysis has been used to calculate an effective heat transfer c
oefficient between the air and the ground. For two inhomogeneous therm
al conductivity profiles (linearly decreasing and exponentially increa
sing), the inhomogeneity factor for the effective heat transfer coeffi
cient has been determined.