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Stoichiometric and actual combustion equations of the fuel

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Reference no: EM13934638

A dodecane C12H26 used in jet engine is burned with 0% excess air. The products of combustion is then expanded through a variable area duct. write a simple program (use excel sheet or any other software) to Draw the area ratio versus Mach number for isentropic flow (0.1<Mac3.0). Take the increment in Mach number as 0.1. Compare the trend of the graph with that of air as a perfect gas

Solution Procedures:

1. Write down the stoichiometric and actual combustion equations of the fuel/air mixture.

2. Determine the percentage of each component of product.

3. Use table (A-21) in your thermodynamic text book to evaluate the average specific heat (Cp) for each component.

4. Estimate Cp and R for the mixture.

5. Then evaluate the specific heat ratio (k).

6. Employ the calculated specific heat ratio in Eq. 1.17 to determine the area ratio.

7. Tabulate the area ratio vs. Mach number (use the range and increment stated in the lecture slides). Preferable Excel Sheet

8. Repeat 6 and 7 for Eq. 1.18.

9. Draw one graph illustrating the Area ratio as a function of Mach number for Eq.s 1.17 and 1.18 tables.

10. Summarize your impression on the trend of curves and the influence of k.

Recommendations:

1. After completing step 5, I suggest that you show me your evaluated k because if it's wrong you will loose.

2258_Stoichiometric and actual combustion equations.png

TABLE A: Variation of c-p with Temperature for Selected Ideal Gases

c-p/R = α + βT + γT2 + δT3 + εT4

T is in K, equations vaild from 300 to 1000 K

Gas α β x 103 γ x 106 δ x 109 ε x 1012
CO 3.71 -1.619 3.692 -2.032 0.24
CO2 2.401 8.735 -6.607 2.002 0
H2 3.057 2.677 -5.81 5.521 -1.812
H2O 4.07 -1.108 4.152 -2.964 0.807
O2 3.626 -1.878 7.055 -6.764 2.156
N2 3.675 -1.208 2.324 -0.632 -0.226
Air 3.653 -1.337 3.294 -1.913 0.2763
SO2 3.267 5.324 0.684 -5.281 2559
CH4 3.826 -3.979 24.558 -22.733 6.963
C2H2 1.41 19.057 -24.5 16.391 -4.135
C2H4 1.426 11.383 7.989 -16.254 6.749
Monatomic gases° 2.5 0 0 0 0

Reference no: EM13934638

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