PSR solver

• Adiabatic, steady state
• Uses Cantera for thermochemical properties
  • Note, Cantera was built with Sundials installed separately
• Uses Sundials Kinsol for solving the system of equations
• Solves for the full range of residence times.
• Solution is saved to file tau_T.dat. File plot.py is called, which creates tau_T.png.

Solve the following equations: $$\frac{y_k^{in} - y_k}{\tau} + \dot{m}_k^{\prime\prime\prime} = 0,$$ $$h = h^{in}.$$

For a given $\tau$, the PSR has multiple solutions: burning, extinguished, and an intermediate branch. The $T(\tau)$ profile is in the shape of an "S". In order to solve the full S-curve without considering multiple solutions, the temperature is specified between the inlet and equilibrium values and $\tau$ is solved as one of the unknowns. The solution begins near adiabatic equilibrium and then progresses to lower $T$, using previous solutions as the guess for the next point.

Build the code

• Create and enter directory build
• type cmake ..
• type make or make -j8
• type make install
  • This puts the code in the run directory
• type cd ../run
• type ./psr.x
  • This creates a .dat file and a .png (image) file.