with the fact that $\tau_V$ is semi-positive in the other frame.

Numerical Application to Heavy-Ion Collisions {#sec4}
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The effects of a frame choice on relativistic nuclear collisions are demonstrated by solving the energy dissipative and the baryon diffusive hydrodynamic equations. For this purpose, a non-boost invariant (1+1)-dimensional hydrodynamic system is considered [@Monnai:2012jc]. Full (3+1)-dimensional calculations for quantitative analyses of the data sets from the beam energy scan experiments is beyond the scope of the current study and will be presented elsewhere.

The hydrodynamic model
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Hydrodynamics system are characterized with the equation of state and the transport coefficients. The equation of state at finite baryon density [@Monnai:2019hkn] is based on lattice QCD [@Bazavov:2014pvz; @Bazavov:2012jq; @Ding:2015fca; @Bazavov:2017dus] and the hadron resonance gas model. The strangeness and the electric charge are not considered here for simplicity and left for future studies.

The transport coefficients are chosen as $\kappa_W = c_W (e+P)$, $\tau_W = \tilde{c}_W \kappa_W / (e+P)T$, and $\chi_W^{a,b,c,d,e} = 0$ in the Eckart frame. The model conductivity is motivated by the non-equilibrium statistical operator method for the $\phi^4$-theory [@Hosoya:1983id] coupled with the lower bound of shear viscosity conjectured in the gauge-string correspondence [@Kovtun:2004de]. $c_W = 10$ and $\tilde{c}_W = 2$ 