We present a cosmological model in Kaluza-Klein spacetime with a matte
r field obeying an equation of state and a radial heat flow. The (3+1)
-space resembles that of a Robertson-Walker spacetime, but unlike the
corresponding four-dimensional case our five-dimensional spacetime adm
its a radial flow of heat even when the three-space curvature remains
a constant. Further our solution exhibits the desirable feature of dim
ensional reduction.