What Are the Key Equations in Shock Wave Analysis?

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SUMMARY

This discussion centers on the key equations in shock wave analysis, highlighting the confusion surrounding the horizontal behavior of the left and right tails in shock wave diagrams. Participants express their struggles with understanding the foundational concepts and the effectiveness of instructional videos. The need for a more intuitive approach to grasp these equations is emphasized, indicating that the current resources may not adequately support learners at all levels.

PREREQUISITES
  • Basic understanding of shock wave theory
  • Familiarity with fluid dynamics principles
  • Knowledge of mathematical modeling techniques
  • Experience with instructional video analysis
NEXT STEPS
  • Research the fundamental equations of shock wave analysis
  • Explore fluid dynamics textbooks for foundational concepts
  • Watch instructional videos on shock wave behavior and characteristics
  • Study mathematical modeling in physics to enhance comprehension
USEFUL FOR

This discussion is beneficial for physics students, educators in fluid dynamics, and anyone seeking to deepen their understanding of shock wave analysis and its equations.

DifferentialGalois
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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.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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