The Effects of Inlet Conditions on Detonations Leigh Honeycutt MAE 5310: Combustion Fundamentals
Motivation Detonation Driven Shock Tunnels Pulse Detonation Engines Pulse Detonation Rockets
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
Equations State Equations
Equations Mixture Equations
Table 1: Log Kf values vs. Temperature Cp Values from Fundamentals of Thermodynamics Table 1: Log Kf values vs. Temperature Table 2: Values
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.
Fuel to Air Ratio
Fuel to Air Ratio
Fuel to Air Ratio
Inlet Pressure
Inlet Pressure
Inlet Pressure
Inlet Temperature
Inlet Temperature
Inlet Temperature
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
Questions?