
    ISENTROPIC  isentropic, adiabatic flow example
    
    In this example, the area ratio vs. Mach number curve is
    computed. If a gas object is supplied, it will be used for the
    calculations, with the stagnation state given by the input gas
    state. Otherwise, the calculations will be done for a 10:1
    hydrogen/nitrogen mixture with stagnation T0 = 1200 K, P0 = 10
    atm.

    
area ratio,   Mach number,   temperature,   pressure ratio
[[  1.30469086e+01   4.18453822e+00   2.70202095e+02   4.97512438e-03]
 [  8.22559670e+00   3.67857400e+00   3.29941747e+02   9.95024876e-03]
 [  6.30079079e+00   3.39589395e+00   3.70405399e+02   1.49253731e-02]
 [  5.22634245e+00   3.20015488e+00   4.01965000e+02   1.99004975e-02]
 [  4.52790569e+00   3.05070912e+00   4.28239982e+02   2.48756219e-02]
 [  4.03195312e+00   2.92997543e+00   4.50961600e+02   2.98507463e-02]
 [  3.65876748e+00   2.82876597e+00   4.71105183e+02   3.48258706e-02]
 [  3.36620070e+00   2.74168088e+00   4.89279551e+02   3.98009950e-02]
 [  3.12971350e+00   2.66527972e+00   5.05892668e+02   4.47761194e-02]
 [  2.93397438e+00   2.59723694e+00   5.21232543e+02   4.97512438e-02]
 [  2.76887308e+00   2.53590779e+00   5.35510812e+02   5.47263682e-02]
 [  2.62745129e+00   2.48008661e+00   5.48888010e+02   5.97014925e-02]
 [  2.50475091e+00   2.42886355e+00   5.61489097e+02   6.46766169e-02]
 [  2.39713601e+00   2.38153526e+00   5.73413450e+02   6.96517413e-02]
 [  2.30187492e+00   2.33754692e+00   5.84741540e+02   7.46268657e-02]
 [  2.21687238e+00   2.29645325e+00   5.95539546e+02   7.96019900e-02]
 [  2.14049232e+00   2.25789150e+00   6.05862622e+02   8.45771144e-02]
 [  2.07143708e+00   2.22156228e+00   6.15757278e+02   8.95522388e-02]
 [  2.00866322e+00   2.18721568e+00   6.25263135e+02   9.45273632e-02]
 [  1.95132137e+00   2.15464092e+00   6.34414258e+02   9.95024876e-02]
 [  1.89871255e+00   2.12365863e+00   6.43240175e+02   1.04477612e-01]
 [  1.85025591e+00   2.09411493e+00   6.51766668e+02   1.09452736e-01]
 [  1.80546446e+00   2.06587683e+00   6.60016398e+02   1.14427861e-01]
 [  1.76392657e+00   2.03882860e+00   6.68009405e+02   1.19402985e-01]
 [  1.72529180e+00   2.01286896e+00   6.75763507e+02   1.24378109e-01]
 [  1.68925975e+00   1.98790873e+00   6.83294626e+02   1.29353234e-01]
 [  1.65557133e+00   1.96386903e+00   6.90617057e+02   1.34328358e-01]
 [  1.62400181e+00   1.94067973e+00   6.97743688e+02   1.39303483e-01]
 [  1.59435522e+00   1.91827823e+00   7.04686185e+02   1.44278607e-01]
 [  1.56645984e+00   1.89660840e+00   7.11455145e+02   1.49253731e-01]
 [  1.54016452e+00   1.87561973e+00   7.18060230e+02   1.54228856e-01]
 [  1.51533563e+00   1.85526664e+00   7.24510273e+02   1.59203980e-01]
 [  1.49185457e+00   1.83550779e+00   7.30813378e+02   1.64179104e-01]
 [  1.46961568e+00   1.81630565e+00   7.36976995e+02   1.69154229e-01]
 [  1.44852454e+00   1.79762601e+00   7.43007996e+02   1.74129353e-01]
 [  1.42849644e+00   1.77943760e+00   7.48912734e+02   1.79104478e-01]
 [  1.40945516e+00   1.76171178e+00   7.54697092e+02   1.84079602e-01]
 [  1.39133197e+00   1.74442222e+00   7.60366536e+02   1.89054726e-01]
 [  1.37406466e+00   1.72754473e+00   7.65926149e+02   1.94029851e-01]
 [  1.35759679e+00   1.71105694e+00   7.71380669e+02   1.99004975e-01]
 [  1.34187708e+00   1.69493822e+00   7.76734525e+02   2.03980100e-01]
 [  1.32685875e+00   1.67916943e+00   7.81991856e+02   2.08955224e-01]
 [  1.31249908e+00   1.66373282e+00   7.87156544e+02   2.13930348e-01]
 [  1.29875898e+00   1.64861189e+00   7.92232230e+02   2.18905473e-01]
 [  1.28560260e+00   1.63379127e+00   7.97222339e+02   2.23880597e-01]
 [  1.27299696e+00   1.61925663e+00   8.02130094e+02   2.28855721e-01]
 [  1.26091174e+00   1.60499457e+00   8.06958533e+02   2.33830846e-01]
 [  1.24931897e+00   1.59099257e+00   8.11710524e+02   2.38805970e-01]
 [  1.23819281e+00   1.57723889e+00   8.16388777e+02   2.43781095e-01]
 [  1.22750934e+00   1.56372252e+00   8.20995857e+02   2.48756219e-01]
 [  1.21724644e+00   1.55043310e+00   8.25534192e+02   2.53731343e-01]
 [  1.20738355e+00   1.53736092e+00   8.30006086e+02   2.58706468e-01]
 [  1.19790159e+00   1.52449679e+00   8.34413725e+02   2.63681592e-01]
 [  1.18878280e+00   1.51183209e+00   8.38759189e+02   2.68656716e-01]
 [  1.18001066e+00   1.49935864e+00   8.43044453e+02   2.73631841e-01]
 [  1.17156975e+00   1.48706874e+00   8.47271399e+02   2.78606965e-01]
 [  1.16344568e+00   1.47495508e+00   8.51441821e+02   2.83582090e-01]
 [  1.15562501e+00   1.46301077e+00   8.55557428e+02   2.88557214e-01]
 [  1.14809516e+00   1.45122924e+00   8.59619854e+02   2.93532338e-01]
 [  1.14084436e+00   1.43960427e+00   8.63630658e+02   2.98507463e-01]
 [  1.13386159e+00   1.42812997e+00   8.67591331e+02   3.03482587e-01]
 [  1.12713650e+00   1.41680071e+00   8.71503300e+02   3.08457711e-01]
 [  1.12065939e+00   1.40561115e+00   8.75367932e+02   3.13432836e-01]
 [  1.11442115e+00   1.39455620e+00   8.79186535e+02   3.18407960e-01]
 [  1.10841322e+00   1.38363100e+00   8.82960364e+02   3.23383085e-01]
 [  1.10262753e+00   1.37283093e+00   8.86690623e+02   3.28358209e-01]
 [  1.09705651e+00   1.36215155e+00   8.90378469e+02   3.33333333e-01]
 [  1.09169304e+00   1.35158865e+00   8.94025011e+02   3.38308458e-01]
 [  1.08653040e+00   1.34113817e+00   8.97631318e+02   3.43283582e-01]
 [  1.08156225e+00   1.33079625e+00   9.01198417e+02   3.48258706e-01]
 [  1.07678264e+00   1.32055917e+00   9.04727294e+02   3.53233831e-01]
 [  1.07218595e+00   1.31042339e+00   9.08218902e+02   3.58208955e-01]
 [  1.06776688e+00   1.30038549e+00   9.11674157e+02   3.63184080e-01]
 [  1.06352043e+00   1.29044219e+00   9.15093942e+02   3.68159204e-01]
 [  1.05944189e+00   1.28059035e+00   9.18479110e+02   3.73134328e-01]
 [  1.05552682e+00   1.27082694e+00   9.21830481e+02   3.78109453e-01]
 [  1.05177102e+00   1.26114904e+00   9.25148850e+02   3.83084577e-01]
 [  1.04817055e+00   1.25155386e+00   9.28434983e+02   3.88059701e-01]
 [  1.04472169e+00   1.24203868e+00   9.31689619e+02   3.93034826e-01]
 [  1.04142092e+00   1.23260090e+00   9.34913475e+02   3.98009950e-01]
 [  1.03826495e+00   1.22323801e+00   9.38107243e+02   4.02985075e-01]
 [  1.03525066e+00   1.21394758e+00   9.41271591e+02   4.07960199e-01]
 [  1.03237514e+00   1.20472726e+00   9.44407167e+02   4.12935323e-01]
 [  1.02963563e+00   1.19557477e+00   9.47514600e+02   4.17910448e-01]
 [  1.02702957e+00   1.18648793e+00   9.50594496e+02   4.22885572e-01]
 [  1.02455453e+00   1.17746460e+00   9.53647444e+02   4.27860697e-01]
 [  1.02220825e+00   1.16850272e+00   9.56674014e+02   4.32835821e-01]
 [  1.01998862e+00   1.15960030e+00   9.59674761e+02   4.37810945e-01]
 [  1.01789368e+00   1.15075539e+00   9.62650220e+02   4.42786070e-01]
 [  1.01592160e+00   1.14196612e+00   9.65600913e+02   4.47761194e-01]
 [  1.01407067e+00   1.13323064e+00   9.68527345e+02   4.52736318e-01]
 [  1.01233933e+00   1.12454719e+00   9.71430006e+02   4.57711443e-01]
 [  1.01072613e+00   1.11591402e+00   9.74309374e+02   4.62686567e-01]
 [  1.00922975e+00   1.10732945e+00   9.77165912e+02   4.67661692e-01]
 [  1.00784900e+00   1.09879184e+00   9.80000070e+02   4.72636816e-01]
 [  1.00658276e+00   1.09029958e+00   9.82812285e+02   4.77611940e-01]
 [  1.00543008e+00   1.08185111e+00   9.85602984e+02   4.82587065e-01]
 [  1.00439009e+00   1.07344489e+00   9.88372581e+02   4.87562189e-01]
 [  1.00346202e+00   1.06507944e+00   9.91121478e+02   4.92537313e-01]
 [  1.00264522e+00   1.05675330e+00   9.93850069e+02   4.97512438e-01]
 [  1.00193914e+00   1.04846502e+00   9.96558734e+02   5.02487562e-01]
 [  1.00134336e+00   1.04021322e+00   9.99247846e+02   5.07462687e-01]
 [  1.00085710e+00   1.03204368e+00   1.00191750e+03   5.12437811e-01]
 [  1.00047986e+00   1.02392718e+00   1.00456749e+03   5.17412935e-01]
 [  1.00021128e+00   1.01584435e+00   1.00719807e+03   5.22388060e-01]
 [  1.00005131e+00   1.00779388e+00   1.00980956e+03   5.27363184e-01]
 [  1.00000000e+00   9.99774445e-01   1.01240228e+03   5.32338308e-01]
 [  1.00005751e+00   9.91784755e-01   1.01497652e+03   5.37313433e-01]
 [  1.00022409e+00   9.83823535e-01   1.01753259e+03   5.42288557e-01]
 [  1.00050011e+00   9.75889529e-01   1.02007078e+03   5.47263682e-01]
 [  1.00088603e+00   9.67981492e-01   1.02259136e+03   5.52238806e-01]
 [  1.00138242e+00   9.60098196e-01   1.02509461e+03   5.57213930e-01]
 [  1.00198996e+00   9.52238423e-01   1.02758080e+03   5.62189055e-01]
 [  1.00270944e+00   9.44400967e-01   1.03005019e+03   5.67164179e-01]
 [  1.00354176e+00   9.36584632e-01   1.03250304e+03   5.72139303e-01]
 [  1.00448794e+00   9.28788230e-01   1.03493959e+03   5.77114428e-01]
 [  1.00554910e+00   9.21010581e-01   1.03736010e+03   5.82089552e-01]
 [  1.00672651e+00   9.13250511e-01   1.03976479e+03   5.87064677e-01]
 [  1.00802154e+00   9.05506849e-01   1.04215390e+03   5.92039801e-01]
 [  1.00943571e+00   8.97778431e-01   1.04452767e+03   5.97014925e-01]
 [  1.01097065e+00   8.90064093e-01   1.04688630e+03   6.01990050e-01]
 [  1.01262815e+00   8.82362673e-01   1.04923002e+03   6.06965174e-01]
 [  1.01441014e+00   8.74673008e-01   1.05155904e+03   6.11940299e-01]
 [  1.01631868e+00   8.66993934e-01   1.05387356e+03   6.16915423e-01]
 [  1.01835602e+00   8.59324285e-01   1.05617380e+03   6.21890547e-01]
 [  1.02052454e+00   8.51662890e-01   1.05845995e+03   6.26865672e-01]
 [  1.02282682e+00   8.44008572e-01   1.06073219e+03   6.31840796e-01]
 [  1.02526561e+00   8.36360149e-01   1.06299074e+03   6.36815920e-01]
 [  1.02784384e+00   8.28716429e-01   1.06523576e+03   6.41791045e-01]
 [  1.03056465e+00   8.21076211e-01   1.06746744e+03   6.46766169e-01]
 [  1.03343139e+00   8.13438282e-01   1.06968596e+03   6.51741294e-01]
 [  1.03644763e+00   8.05801417e-01   1.07189150e+03   6.56716418e-01]
 [  1.03961718e+00   7.98164375e-01   1.07408422e+03   6.61691542e-01]
 [  1.04294408e+00   7.90525899e-01   1.07626430e+03   6.66666667e-01]
 [  1.04643265e+00   7.82884716e-01   1.07843189e+03   6.71641791e-01]
 [  1.05008750e+00   7.75239528e-01   1.08058716e+03   6.76616915e-01]
 [  1.05391351e+00   7.67589021e-01   1.08273026e+03   6.81592040e-01]
 [  1.05791592e+00   7.59931851e-01   1.08486136e+03   6.86567164e-01]
 [  1.06210027e+00   7.52266651e-01   1.08698060e+03   6.91542289e-01]
 [  1.06647248e+00   7.44592024e-01   1.08908812e+03   6.96517413e-01]
 [  1.07103886e+00   7.36906542e-01   1.09118409e+03   7.01492537e-01]
 [  1.07580615e+00   7.29208742e-01   1.09326863e+03   7.06467662e-01]
 [  1.08078152e+00   7.21497124e-01   1.09534189e+03   7.11442786e-01]
 [  1.08597262e+00   7.13770149e-01   1.09740400e+03   7.16417910e-01]
 [  1.09138765e+00   7.06026235e-01   1.09945510e+03   7.21393035e-01]
 [  1.09703534e+00   6.98263752e-01   1.10149533e+03   7.26368159e-01]
 [  1.10292504e+00   6.90481019e-01   1.10352481e+03   7.31343284e-01]
 [  1.10906676e+00   6.82676303e-01   1.10554367e+03   7.36318408e-01]
 [  1.11547122e+00   6.74847808e-01   1.10755203e+03   7.41293532e-01]
 [  1.12214991e+00   6.66993678e-01   1.10955002e+03   7.46268657e-01]
 [  1.12911518e+00   6.59111986e-01   1.11153775e+03   7.51243781e-01]
 [  1.13638028e+00   6.51200732e-01   1.11351536e+03   7.56218905e-01]
 [  1.14395948e+00   6.43257833e-01   1.11548294e+03   7.61194030e-01]
 [  1.15186813e+00   6.35281122e-01   1.11744062e+03   7.66169154e-01]
 [  1.16012281e+00   6.27268334e-01   1.11938851e+03   7.71144279e-01]
 [  1.16874141e+00   6.19217104e-01   1.12132671e+03   7.76119403e-01]
 [  1.17774327e+00   6.11124957e-01   1.12325534e+03   7.81094527e-01]
 [  1.18714936e+00   6.02989293e-01   1.12517451e+03   7.86069652e-01]
 [  1.19698242e+00   5.94807385e-01   1.12708431e+03   7.91044776e-01]
 [  1.20726717e+00   5.86576360e-01   1.12898485e+03   7.96019900e-01]
 [  1.21803053e+00   5.78293190e-01   1.13087623e+03   8.00995025e-01]
 [  1.22930185e+00   5.69954676e-01   1.13275856e+03   8.05970149e-01]
 [  1.24111323e+00   5.61557433e-01   1.13463191e+03   8.10945274e-01]
 [  1.25349984e+00   5.53097870e-01   1.13649641e+03   8.15920398e-01]
 [  1.26650028e+00   5.44572172e-01   1.13835213e+03   8.20895522e-01]
 [  1.28015705e+00   5.35976275e-01   1.14019917e+03   8.25870647e-01]
 [  1.29451704e+00   5.27305842e-01   1.14203762e+03   8.30845771e-01]
 [  1.30963215e+00   5.18556231e-01   1.14386757e+03   8.35820896e-01]
 [  1.32555995e+00   5.09722466e-01   1.14568911e+03   8.40796020e-01]
 [  1.34236455e+00   5.00799197e-01   1.14750233e+03   8.45771144e-01]
 [  1.36011752e+00   4.91780654e-01   1.14930731e+03   8.50746269e-01]
 [  1.37889909e+00   4.82660600e-01   1.15110413e+03   8.55721393e-01]
 [  1.39879948e+00   4.73432273e-01   1.15289289e+03   8.60696517e-01]
 [  1.41992062e+00   4.64088316e-01   1.15467365e+03   8.65671642e-01]
 [  1.44237809e+00   4.54620702e-01   1.15644650e+03   8.70646766e-01]
 [  1.46630363e+00   4.45020637e-01   1.15821152e+03   8.75621891e-01]
 [  1.49184806e+00   4.35278454e-01   1.15996879e+03   8.80597015e-01]
 [  1.51918507e+00   4.25383480e-01   1.16171838e+03   8.85572139e-01]
 [  1.54851580e+00   4.15323883e-01   1.16346037e+03   8.90547264e-01]
 [  1.58007469e+00   4.05086480e-01   1.16519484e+03   8.95522388e-01]
 [  1.61413689e+00   3.94656507e-01   1.16692185e+03   9.00497512e-01]
 [  1.65102777e+00   3.84017340e-01   1.16864147e+03   9.05472637e-01]
 [  1.69113540e+00   3.73150142e-01   1.17035379e+03   9.10447761e-01]
 [  1.73492690e+00   3.62033422e-01   1.17205886e+03   9.15422886e-01]
 [  1.78297036e+00   3.50642479e-01   1.17375676e+03   9.20398010e-01]
 [  1.83596478e+00   3.38948683e-01   1.17544755e+03   9.25373134e-01]
 [  1.89478143e+00   3.26918531e-01   1.17713131e+03   9.30348259e-01]
 [  1.96052259e+00   3.14512405e-01   1.17880809e+03   9.35323383e-01]
 [  2.03460654e+00   3.01682875e-01   1.18047796e+03   9.40298507e-01]
 [  2.11889442e+00   2.88372355e-01   1.18214099e+03   9.45273632e-01]
 [  2.21588518e+00   2.74509772e-01   1.18379724e+03   9.50248756e-01]
 [  2.32902692e+00   2.60005685e-01   1.18544677e+03   9.55223881e-01]
 [  2.46323657e+00   2.44744860e-01   1.18708965e+03   9.60199005e-01]
 [  2.62581558e+00   2.28574507e-01   1.18872592e+03   9.65174129e-01]
 [  2.82817604e+00   2.11284549e-01   1.19035566e+03   9.70149254e-01]
 [  3.08938842e+00   1.92572196e-01   1.19197891e+03   9.75124378e-01]
 [  3.44436790e+00   1.71972158e-01   1.19359575e+03   9.80099502e-01]
 [  3.96613421e+00   1.48700149e-01   1.19520622e+03   9.85074627e-01]
 [  4.84404272e+00   1.21224791e-01   1.19681038e+03   9.90049751e-01]
 [  6.83162862e+00   8.55864718e-02   1.19840829e+03   9.95024876e-01]]
