What Are the Key Equations in Shock Wave Analysis?

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Key equations in shock wave analysis often require a deep understanding of fluid dynamics and intuitive grasp of the concepts involved. Participants express confusion about the behavior of shock wave tails and seek clarity on fundamental principles. The discussion highlights the importance of foundational knowledge before tackling complex topics, as many find the material challenging. Concerns are raised about the effectiveness of instructional videos in conveying these concepts. A solid grasp of the basics is essential for progressing in shock wave analysis.
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Homework Statement
I don't understand anything they do after 1:26 constructing the first diagram ("the zooming in part") and devising the integral.
Relevant Equations
provided here from 1:26 ONWARDS: https://www.youtube.com/watch?v=er512TwsxNM&t=86s
the attempted is the above ex. i needa justify why and figure out the reason behind those relevant equations.
 
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Are you puzzled at the way the left and right tails become horizontal?
 
haruspex said:
Are you puzzled at the way the left and right tails become horizontal?
puzzled at everything. may someone start from scratch
 
If most of the video is puzzling, maybe is not the right point for you to start?
 
nasu said:
If most of the video is puzzling, maybe is not the right point for you to start?
well most of it requires intuition, no?
 
I've only looked at the zooming in part so far, and might not get further today, but it does not give me great confidence in the tutor.
 
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