Shock wave system of equations

  • #1

Homework Statement


This is Rankine-Hugoniot conditions at a hydrodynamic shock front. Where P2=0 v2=0.

The problem is attached. I need to solve a system of equations. I thought it would be relatively straight forward solving for the three unknowns but I'm struggling. I know it's possible to solve but maybe not just rearranging the equations as I've been trying. Am I missing an assumption or something?

Homework Equations


The equations are attached.

The Attempt at a Solution



I just want to know if simply using algebra will work for rearranging/solving this system. All I can solve for so far is P1/V1=Vs*ρ2 from the first two equations. Anything I try with w in equation 3 gives me multiple terms with the variables I'm trying to solve for. I feel like something should be 0 or some other assumption.
 

Attachments

  • Shock.PNG
    Shock.PNG
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  • eq astr.PNG
    eq astr.PNG
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Answers and Replies

  • #2
RPinPA
Science Advisor
Homework Helper
587
329
You need to show us your actual calculations if you want us to comment on them. Your description is too vague to do anything with, the section "Attempt at a Solution" is meant to actually show the work you've done toward a solution.
 
  • #3
Thanks. I solved it. I was missing something basic.
 

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