1% -------------------------------------------------------------------------
2% EXAMPLE: SHOCK_POLAR_LIMIT_RR
3%
4% Compute limit regular reflections considering a calorically imperfect gas
5% at an altitude of 30 km from sea level. The calculations are carried out
6% for a set of pre-shock Mach numbers M1 = [1.75:0.1:20]
7%
8% Air_ions == {'eminus', 'Ar', 'Arplus', 'C', 'Cplus', 'Cminus', ...
9% 'CN', 'CNplus', 'CNminus', 'CNN', 'CO', 'COplus', ...
10% 'CO2', 'CO2plus', 'C2', 'C2plus', 'C2minus', 'CCN', ...
11% 'CNC', 'OCCN', 'C2N2', 'C2O', 'C3', 'C3O2', 'N', ...
12% 'Nplus', 'Nminus', 'NCO', 'NO', 'NOplus', 'NO2', ...
13% 'NO2minus', 'NO3', 'NO3minus', 'N2', 'N2plus', ...
14% 'N2minus', 'NCN', 'N2O', 'N2Oplus', 'N2O3', 'N2O4', ...
15% 'N2O5', 'N3', 'O', 'Oplus', 'Ominus', 'O2', 'O2plus', ...
16% 'O2minus', 'O3'}
17%
18% See wiki or setListspecies method from ChemicalSystem class for more
19% predefined sets of species
20%
21% @author: Alberto Cuadra Lara
22% Postdoctoral researcher - Group Fluid Mechanics
23% Universidad Carlos III de Madrid
24%
25% Last update Jun 11 2024
26% -------------------------------------------------------------------------
27
28% Import packages
29import combustiontoolbox.databases.NasaDatabase
30import combustiontoolbox.core.*
31import combustiontoolbox.shockdetonation.*
32import combustiontoolbox.utils.display.*
33
34% Get Nasa database
35DB = NasaDatabase();
36
37% Define chemical system
38system = ChemicalSystem(DB, 'air_ions');
39
40% Initialize mixture
41mix = Mixture(system);
42
43% Define chemical state
44set(mix, {'N2', 'O2', 'Ar', 'CO2'}, [78.084, 20.9476, 0.9365, 0.0319] / 20.9476);
45
46% Define properties
47mixArray1 = setProperties(mix, 'temperature', 226.65, 'pressure', 0.0117, 'M1', 1.75:0.1:20.45);
48
49% Initialize solver
50solver = ShockSolver('problemType', 'SHOCK_POLAR_LIMITRR', 'tol0', 1e-7);
51
52% Solve problem
53[mixArray1, mixArray2, mixArray2_1, mixArray3] = solver.solveArray(mixArray1);
54
55% Plot wave angle [deg] (limit regular reflection) against pre-shock Mach number
56ax = plotFigure('Pre-shock Mach number', [mixArray1.mach], 'Wave angle limit RR [deg]', [mixArray2_1.beta], 'linestyle', 'k-');
57
58% Plot deflection angle [deg] (limit regular reflection) against pre-shock Mach number
59ax = plotFigure('Pre-shock Mach number', [mixArray1.mach], 'Deflection angle limit RR [deg]', [mixArray2_1.theta], 'linestyle', 'k-');