Version 2 (modified by 6 years ago) ( diff ) | ,
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Dealing with supercritical exterior inward flows
- Want to find steady state solution interior of super-critical boundary point
- Problem is that none exist with adiabatic EOS
- Would like interior solution to be steady state and inflowing
- This constrains the velocity and sound speed to give critical (or sub-critical) values for xi and u
- And the density can also be arbitrary.
- This interface can therefore generate three waves (with a shock/rarefaction, contact, and shock/rarefaction)
- We would like there to be no inward waves - so only a right moving shock or rarefaction.
Single Shock
- For shocks, the mach number is the only 'free' parameter.
- There is a lower limit for the mach number so that the inward solution is critical (or subcritical).
- And there is an upper limit for the mach number if we require the flow to remain inward.
- As the shocks move, the post shock values do not fill in the bondi curve - nor do they satisfy the jump conditions for a single shock. Instead a rarefaction forms
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