A Seven Equation Model for Relativistic two-fluids flows - I

An interface-capturing method is used to describe relativistic two-fluid flows. The conservation equations for the particle number of each fluid and for the total momentum-energy tensor of the mixture are the starting point of this approach. A model for relativistic two-fluid flow without friction and heat conduction and differential equations, plus additional algebraic relations, consistent with this model, are derived. The weak discontinuities propagating in this relativistic two-fluid system are examined and the expressions for the speeds of propagation are obtained.