as announced I have done a calculation run on a single operating point of our nozzle. You can see three different curves of velocity and temperature below the nozzle tip. They are the experimental data, the calculation data with the perfect gas model and the calculation data with the stiffend gas model.
As you can see, the difference between the two gas models is marginal. However, with a mesh refinement at certain points, I have achieved a much better coverage of the simulation and experimental data. So sorry, it was not an underestimation of CS, but my fault

So far, I don't know how to get a better fit, especially at L = 10 mm to L = 20 mm. But when I figure it out, I will let you know

Yours sincerely,
Christopher