Discussion Overview
The discussion revolves around calculating the work done on a fluid using experimental p-v data. Participants explore methods for numerical integration and the use of software tools like MATLAB and Excel, while also considering the implications of fitting analytic expressions to the data.
Discussion Character
- Homework-related
- Technical explanation
- Debate/contested
Main Points Raised
- One participant inquires about using MATLAB to find the work done from experimental p-v data and questions if the ratio v2/v1 represents the compression ratio.
- Another participant suggests that work is defined as the cyclic integral of pressure with respect to volume and mentions the need for numerical integration and possible interpolation of the data.
- There are mentions of analytic expressions fitted to the ideal cycle, with specific equations provided for the power stroke and compression process.
- Some participants express concern that assuming a functional form may lead to neglecting the experimental data, while others argue that a good fit to the data justifies such assumptions.
- One participant emphasizes the need for numerical integration specifically from the real data, asking for methods to implement this in Excel or MATLAB.
- Another participant recommends looking up "quadrature" and suggests methods like the Trapezoidal Rule or Simpson's Rule for numerical integration.
- There is a question about the nature of the problem, whether it is homework or from an industrial source, which could affect how the rules are interpreted.
- A participant confirms it is a course lab problem and expresses the need to consult a numerical methods book for further understanding.
- There is a request for the actual p-v data to facilitate the discussion.
Areas of Agreement / Disagreement
Participants express differing views on the use of analytic expressions versus sticking to the experimental data. While some advocate for fitting functions to the data, others argue for a strict adherence to the experimental results. The discussion remains unresolved regarding the best approach to take.
Contextual Notes
Participants note the potential limitations of using fitted functions, including the risk of abandoning the experimental data. There are also unresolved questions about the accuracy of the provided analytic expressions and their applicability to the experimental data.
