Add examples based on Users' Group posts

[speth]

Abstract

There are several occasions where posts on the Cantera Users' Group have resulted in replies that would make useful examples / user guide pages or could be used to augment some of the existing examples.

Description

Here are some of the posts that I've noted that I think could be used as the basis for new examples:

• A simple equilibrium constant example. Could be expanded to plot $K_{eq}$ over a range of temperatures, and relate $K_{eq}$ to the enthalpy / entropy of reaction.
  • Ray's note to self: see similar/expanded example from 16.715 lecture notes
• This post could be used as starting point for a "Task Guide" showing how to manipulate Species and Reaction objects and then write out resulting mechanisms
• This post could be adapted for the "Develop" section as a tutorial on adding things to the Cython module
• Reactor with imposed temperature profile
  • Can this be extended to impose pressure, too, if you use IdealGasConstPressureReactor?
  • Ray's note to self: see Jupyter notebook at hex:~/src/cantera-related/ImposedTemperatureReactor.ipynb
• This post would make a good example of computing "equilibrium" $c_p$ / $c_v$ with a comparison to literature data, for a system that isn't purely about combustion
• This post could be adapted as a Python example, showing how to use the modify_reaction function for brute-force/global sensitivity analysis of reaction rate parameters.
  • Should adapt to include not just the 3 Arrhenius parameters, but parameters of more complex rate parameterizations as well
• This post has an example of how to set up a lean-lean stratified flame using the CounterflowPremixedFlame class.

If you know of others, feel free to post them below and I'll add them to this list.