Using the hydrodynamic description and molecular dynamics simulations, the
steady state of a fluidized granular system in the presence of gravity is s
tudied. For an open system, the density profile exhibits a maximum, while t
he temperature profile goes through a minimum at high altitude, beyond that
the temperature increases with the height. The existence of the minimum is
explained by the hydrodynamic equations if the presence of a collisionless
boundary layer is taken into account. The energy dissipated by interpartic
le collisions is also computed. A good agreement is found between theory an
d simulation. The relationship with previous works is discussed.