  This paper deals with the spherically symmetric flow of compressible viscous
and polytropic ideal fluid in unbounded domain exterior to a ball in
$\mathbb{R}^n$ with $n\ge2$. We show that the global solutions are convergent
as time goes to infinity. The critical step is obtaining the point-wise bound
of the specific volume $v(x,t)$ and the absolute temperature $\theta(x,t)$ from
up and below both for $x$ and $t$. Note that the initial data can be
arbitrarily large and, compared with \cite{nn}, our method applies to the
spatial dimension $n=2.$ The proof is based on the elementary energy methods.
