The study of the expanding plasma propagation during laser-matter interaction is of primary importance for investigation of the energy transport in heated matter. X-ray time resolved measurements with streak cameras positioned transversally to the plasma expansion enable velocity determination of the heating wave propagation via the plasma self-emission. However, the study of ion motion in the interior of near solid density heated material, and in particular in radial expansion direction is very challenging. We have studied these effects via H-like Lyman-alpha doublet resonance line emission of titanium ions in dense high-energy laser produced plasmas at the LULI2000 ns-kJ laser facility, France. Using the vertical-geometry Johann spectrometer, we observed characteristic spectral changes in the Ti Ly-α group emission. We demonstrate the possibility to deduce radial differential plasma velocities combining spectroscopic observations with 2D hydrosimulations. A detailed knowledge of the plasma velocity distribution contributes to the understanding of matter under extreme conditions and is crucial for the analysis of environmental parameters inside dense plasma objects.