Exhaust Gas Pressure/Blowdown Calculations

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Discussion Overview

The discussion revolves around the equations related to exhaust gas pressure and blowdown calculations in a cylinder, focusing on the thermodynamic relationships between pressure, temperature, and mass flow rate. Participants explore the implications of these equations in practical applications and calculations, addressing potential issues with variable dependencies and assumptions in the modeling process.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants express confusion regarding the equations provided in a referenced paper, particularly the relationships between cylinder pressure, temperature, and mass flow rate.
  • There are suggestions that absolute temperature and pressure must be used in calculations, with some participants speculating that incorrect units may be causing unexpected results.
  • Participants discuss the concept of pressure at the throat and its relevance to the equations, questioning how cylinder pressure and temperature can be treated as variables.
  • It is noted that the mass flow rate is dependent on both pressure and temperature, which complicates the calculations since these quantities are interrelated.
  • Some participants mention the need for differential equations to model the changing conditions within the cylinder over time.
  • There is acknowledgment that practical values may differ from theoretical calculations due to losses and variations in specific heat with temperature changes.
  • One participant seeks guidance on how to differentiate the equations and where to start, indicating a desire for clarification on the modeling process.

Areas of Agreement / Disagreement

Participants generally agree on the necessity of using absolute measures for temperature and pressure, but there remains disagreement and confusion regarding the implications of the equations and the relationships between the variables involved. The discussion does not reach a consensus on the best approach to resolve these issues.

Contextual Notes

Participants highlight the complexity of the problem, noting that the relationships between pressure, temperature, and mass flow rate are not straightforward and depend on various factors, including the specific heat of the gas and the conditions of the cylinder. There are unresolved mathematical steps and assumptions that participants acknowledge but do not clarify.

Who May Find This Useful

This discussion may be useful for individuals working on thermodynamic modeling, particularly in the context of exhaust systems, as well as those interested in the practical applications of gas laws and flow dynamics in engineering contexts.

  • #31
jack action said:
I don't see why not. Of course, the first function cannot depend on the last one, but you can compare the results where the answer of the first function must equal the answer of the last function ( ##\frac{x_1}{x_2} = 1## or ##x_1 - x_2 = 0## ).

I'll just use the equation that depends of volume a the start of the cycle, It seems to work pretty well, but now I need to find out how to simulate valve overlap!

Screen Shot 2017-05-14 at 10.19.52 AM.png
 

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