The Schwarz-Christoffel transformation is used to fmd closed form solu
tions of two-dimensional steady-state temperature distributions around
uninsulated slab-on-grade and rectangular basement geometries. The di
stribution of the heat flux is also determined. Superposition is used
to investigate the behavior of adjacent slabs at different temperature
s, such as a house and attached garage, and the influence of a fixed-t
emperature water table below a basement is examined. Temperature and f
lux distributions are shown for several cases.