CJDetAnalysisEP2SolnLect19ME525SP2011

CJDetAnalysisEP2SolnLect19ME525SP2011 - 1 Chapman-Jouguet...

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1 Chapman-Jouguet Detonation Wave Example Problem 2 ME 525: Combustion A detonation wave propagates in a long constant-area tube with one end open. The initial reactants are a mixture of H 2 , O 2 , and N 2 with molar ratios of 2:1:3.76, respectively. The reactant pressure P 1 = 1 bar and temperature T 1 = 298 K. The measured detonation wave velocity u 1 is 2000 m/sec. Find the pressure P 2 , temperature T 2 , and velocity u 2 for the gases behind the detonation wave. Assume chemical equilibrium in the product gases and use the TPEQUIL.EXE code in the software from Turns to evaluate product properties at your guess values of P 2 and 2 T . In the input file INPUT.TP, you need to trick the code by defining a fuel molecule with 1 carbon atom and 20,000,000 or so H atoms because the code is not set up to handle pure H 2 . 2 2 2 2 2 2 2 2 1 1 2 2 1 1 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 : 1 1 1 2 2 2 3.76 Basic Equations u c R T M h u h u Energy u u Mass P u P u Momentum P Ideal gas EOS R T No longer assuming complete combustion : H O N

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