  We report the measurement of $K^{*0}$ meson at midrapidity ($|y|<$ 1.0) in
Au+Au collisions at $\sqrt{s_{\rm NN}}$~=~7.7, 11.5, 14.5, 19.6, 27 and 39 GeV
collected by the STAR experiment during the RHIC beam energy scan (BES)
program. The transverse momentum spectra, yield, and average transverse
momentum of $K^{*0}$ are presented as functions of collision centrality and
beam energy. The $K^{*0}/K$ yield ratios are presented for different collision
centrality intervals and beam energies. The $K^{*0}/K$ ratio in heavy-ion
collisions are observed to be smaller than that in small system collisions (e+e
and p+p). The $K^{*0}/K$ ratio follows a similar centrality dependence to that
observed in previous RHIC and LHC measurements. The data favor the scenario of
the dominance of hadronic re-scattering over regeneration for $K^{*0}$
production in the hadronic phase of the medium.
