HW5SolnME525SP2011

HW5SolnME525SP2011 - 1 ME 525 Homework #5 Due Thursday,...

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1 ME 525 Homework #5 Due Thursday, March 31, 2011 Prof. Lucht (E-mail address: lucht@purdue.edu) 1. The CHEMKIN-based PREMIX routine was used to calculate the flame structure for burner- stabilized hydrogen-air flames at equivalence ratios of 0.8, 1.0 and 1.25. The data files for these flames are posted on the class website. Plot the temperature profiles for each of the flames on the same plot and compare the final temperatures and the gradients in the flame zone. Similarly, plot the concentration profiles for the radicals O, H, and OH, comparing peak values in each of the flames. 400 800 1200 1600 2000 0 0.1 0.2 0.3 0.4 0.5 Temperature Profiles          Temperature (K) X (cm)
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2 0 0.001 0.002 0.003 0.004 0.005 0.006 0 0.02 0.04 0.06 0.08 0.1 OH Radical Profiles          OH Mole Fraction X (cm) 0 0.005 0.01 0.015 0.02 0 0 . 0 20 . 0 40 . 0 60 . 0 8 0 . 1 H-atom Profiles          H Mole Fraction X (cm)
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3 0 0.0005 0.001 0.0015 0.002 0.0025 0.003 0.0035 0.004 0 0 . 0 20 . 0 40 . 0 60 . 0 8 0 . 1 O-atom Profiles          O Mole Fraction X (cm)
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4 2. Assume that in each of the flames in problem 1 the chemical destruction reactions for the hydrogen molecule are given by 3 2 3 22 1 2 3.87 04 , 2.70 , 26.2 2.16 08 , 1.51, 14.4 A A f f k cm kJ OH O HH A e b E gmol s gmol k cm kJ OH H H O H A e b E gmol s gmol    where the rates of the listed chemical reactions are given by kA T E R T b Au exp / b g . Plot the chemical destruction rate of H 2 ( 2 H ) in units of gmol/cm 3 -sec as a function of spatial position in the flame with an equivalence ratio of 1.0. You will need to consider the reverse reactions for both reactions 1 and 2. The Gibbs free energy relations given below will be useful:  2 02 , , , , 221,290 55.172 0.0010263 251,230 63.254 0.0007315 38,742 15.636 0.00042668 245,370 52.615 0.0010741 fH fO fOH fHO J gT T T gmol J T T gmol J T T gmol J T T gmol   On the same graph, plot the concentration profiles of H 2 , O, and OH. Comment on the effects of diffusion and chemical reaction on the H 2 profile.
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5 400 600 800 1000 1200 1400 1600 1800 0 0.005 0.01 0.015 0.02 0 0.02 0.04 0.06 0.08 0.1 T - H2 Temperature (K) H 2 Chem Destruction Rate (gmol/cm 3 -s) z (cm) 400 600 800 1000 1200 1400 1600
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HW5SolnME525SP2011 - 1 ME 525 Homework #5 Due Thursday,...

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