of debate over the eligibility of the two definitions of the local rest frame [@Tsumura:2006hn; @Tsumura:2007wu; @Tsumura:2009vm; @Tsumura:2011cj; @Tsumura:2012ss; @Van:2007pw; @Van:2011yn; @Osada:2011gx; @Minami:2012hs; @Oliinychenko:2015lva; @Sagaceta-Mejia:2018cao]. Most of the numerical analyses of hydrodynamic models for relativistic nuclear collisions so far do not give explicit consideration to the frame because the diffusion or the dissipation current is neglected, but the Landau frame is often considered to be a preferred choice when there is a theoretical need. This could be owing to the fact that the primary conserved charge in nuclear collisions is the net baryon number, which is often small at high energies; the Eckart frame cannot be defined when conserved charges are approximated to be negligible. There are several calculations [@Monnai:2012jc; @Kapusta:2014dja; @Denicol:2018wdp; @Li:2018fow] that include the effects of baryon diffusion, which intrinsically implies that the Landau frame is chosen.

The beam energy scan (BES) programs are being performed at RHIC. The exploration of mid-to-low beam energy regime is also planned at facilities including GSI Facility for Antiprotons and Ion Research (FAIR), JINR Nuclotron-based Ion Collider fAcility (NICA), CERN Super Proton Synchrotron (SPS), and JAEA/KEK Japan Proton Accelerator Research Complex (J-PARC) in order to elucidate the QCD phase structure at finite 