Pressure on Piston due to Compressible flow

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SUMMARY

The discussion focuses on the mathematical modeling of a compressed air engine, specifically addressing the pressure on a piston due to compressible flow. The user presents the equation (P1*V1)^Y = (P2*V2)^Y and expresses confusion regarding its applicability, particularly the absence of a density term. The conversation highlights the importance of understanding basic thermodynamics and fluid mechanics principles in accurately modeling such systems. The need for a more comprehensive equation that incorporates density is emphasized for accurate modeling.

PREREQUISITES
  • Understanding of compressible flow dynamics
  • Familiarity with thermodynamic principles
  • Knowledge of fluid mechanics concepts
  • Experience with mathematical modeling techniques
NEXT STEPS
  • Research the ideal gas law and its application in compressible flow
  • Study the derivation and implications of the continuity equation in fluid dynamics
  • Explore the use of the Bernoulli equation in compressible flow scenarios
  • Learn about the role of density in thermodynamic equations for gas behavior
USEFUL FOR

Mechanical engineers, students studying thermodynamics, and professionals involved in the design and analysis of compressed air systems will benefit from this discussion.

Chotai Nikhil
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is it correct modeling mathematical model for Compressed air engine,

As here air Flowing through Pipe in Kg/s and its not a continuous flow and flow through vent into the cylinder and pushes Piston and and Piston moves down.
As I created model like this

(P1*V1)^Y = (P2*V2)^Y

So,
P2 = [(P1*V1)^Y] / [ (V1+dV)^Y ]
here i m in Confusion can i use this equation for my case because this does not includes density term
or Please guide more what equation i can use here.
 
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I don't understand . You claim to have or be studying for a masters degree in 'Mechanical' . You should be able to answer your own questions easily using what you have learned in basic thermodynamics and fluid mechanics courses ?
 
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