SVHIM without choking

The VHIM is able to deal with both choking at the end of the pipe and choking of the valve. Nevertheless, 

SVHIM seeks to circumvent these problems by attacking the full set of line and valve equations at the outset. It is again necessary to solve the equations for subsonic and sonic flow in the valve separately, but the transition should now be smooth. The necessary equations for the subsonic case will now be listed in a logically consistent solution sequence. The basis of the method is first to guess and then to iterate on the value of the ratio of specific volumes Vi, /V2. 

Given a guessed value of the ratio of specific volumes Vi. /V2, we may calculate the Mach number at station 2 from a rearrangement of equation (10.2)  

It also allows us to calculate the pressure at valve inlet using equation (10.3), repeated below  

Combining the calculated value of V2 with the guessed value of u i /u2 gives the value of the specific volume at valve inlet, v i. 

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