TLDR: I have all values at each point on the p-h chart. I want to transform the data to obtain the T-s and h-s values from the p-h data
I apologise if my framing of the question is not clear. It is because I do not know the terminology of what I want. I don't even know if it exists/can be done.
Let me explain what I want to do.
I have a dataset. It is the p-h curve's datapoints(pressure-enthalpy). I want to transform the data in such a way so as to create the T-s (Temperature-entropy) curves from that data.
Abbreviations:
- P - Pressure
- T - Temperature
- v - specific Volume
- Q - Quality/dryness fraction
- h - sp.Enthalpy
- s - sp.Entropy
I have all the data at each coordinate pair. (For any given point(p,h) on the plot, I have the values of T,S,v and inside the saturation dome, I also have Q).
Now i want to know if it is possible to transform that data in any way so that I can get the values of p,h,v,Q at any given point(T,s) in the T-S chart.
I have all values at each point on the p-h chart. I want to transform the data to obtain the T-s and h-s values from the p-h data
Is it even possible??
From the mathematics I remember from college and from 3blue1brown's videos, I know that the eigenvector is the vector that does not change when any transformation takes place. So, should I find the eigenvector of each of the values on this graph and then transform it somehow? How do I find the eigenvector? What transformations do I do? I don't know where to start.
I do not even know the keywords to research my problem properly. I don't know which branch of mathematics this comes under.
I am struggling with the tags to post this question under.
Any keywords/guidance will be greatly appreciated. I got the p-H datapoints using python. I want to use python to transform that data to T-S data.
For anyone who would like to see the tabular data, here it is. Please note that this tabular data is only for points on the saturation lines(the thick black line that looks like a parabola).
The below values are sample values of T,s and v at a few (p,h) points, not necessarily on the saturation lines.
