  This paper presents a hydrodynamic and thermodynamic treatment of a radiant
star model that undergoes a dissipative gravitational collapse, from a certain
initial configuration until it becomes a black hole. The collapsing star
consists of a locally anisotropic non-perfect fluid, where we explore the
consequences of including viscous pressures, both shear and bulk viscosities,
as well as radial heat flow. We analyze the temporal evolution of the heat
flux, mass function, luminosity perceived by an observer at infinity and the
effective surface temperature. It is shown that this simple exact model,
satisfying all the energy conditions throughout the interior region of the star
and during all the collapse process, provides a physically reasonable behavior
for the temperature profile in the context of the extended irreversible
thermodynamics.
