1. The Effects of Inlet Conditions on Detonations
Leigh Honeycutt
MAE 5310: Combustion Fundamentals

2. Motivation Detonation Driven Shock Tunnels Pulse Detonation Engines
Pulse Detonation Rockets

3. Project Overview
Solve the equations for the detonation wave at the upper Chapman Jouguet Point for a hydrogen-oxygen detonation.
Examine the effects of varying
Inlet Pressure
Fuel to Air ratio
Inlet Temperature

4. Equations
State Equations

5. Equations
Mixture Equations

6. Table 1: Log Kf values vs. Temperature
Cp Values from Fundamentals of Thermodynamics
Table 1: Log Kf values vs. Temperature
Table 2: Values

7. Numerical Method System of Nonlinear Equations
Assume a T2 and final mixture
Solve the state equations for P2
Determine the mixture using P2 and T2
Damped Newton’s Method
Check to see if the equation for T2 is balanced.
If it is balanced, the assumed T2 is correct, otherwise change T2 and reiterate.

8. Fuel to Air Ratio

9. Fuel to Air Ratio

10. Fuel to Air Ratio

11. Inlet Pressure

12. Inlet Pressure

13. Inlet Pressure

14. Inlet Temperature

15. Inlet Temperature

16. Inlet Temperature

17. References
Glassman, Irvin. Combustion. San Diego: Academic Press, 1996.
Kirk, Daniel R. MAE: 5310: “Combustion Fundamentals Lecture 27: Detonation”. Florida Institute of Technology. Dec 6, 2005.
Sontag, Richard E., Claus Borgnakk, & Gordon J. Van Wylen. Fundamentals of Thermodynamics. New York: John Wiley & Sons, Inc., 1998

18. Questions?