Rankine-Hugoniot jump equations

The term energy per unit area is referred to as the energy fluence (Ref 8). Recalling the Rankin-Hugoniot jump conditions, specifically the mass and momentum equations for a shock, we had derived that... 

These equations can be combined to eliminate the velocities, yielding the Rankine Hugoniot equation for internal energy jump in terms of pressures and specific volumes (V s 1/p)... 

Conservation equations Expressions that equate the mass, momentum, and energy across a steady wave or shock discontinuity ((2.1)-(2.3)). Also known as the jump conditions or the Rankine-Hugoniot relations. 

The downstream fluid is considered to be an equilibrium state, which could be either liquid, a liquid-vapor mixture, or pure vapor depending on the solution branch and fluid type. For single-phase downstream states, the jump equations (1-3) must be solved numerically by an iterative procedure. This is most conveniently performed by combining equations 1-3 to obtain the Rankine-Hugoniot equation. 

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