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.
 

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Answers and Replies

  • #2
RPinPA
Science Advisor
Homework Helper
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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.
 
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  • #3
Thanks. I solved it. I was missing something basic.
 
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