Is this project an undergraduate, graduate, or faculty project?
Undergraduate
Project Type
group
Campus
Daytona Beach
Authors' Class Standing
Jordan Reed, Sophomore Dev Shah
Lead Presenter's Name
Jordan Reed
Lead Presenter's College
DB College of Engineering
Faculty Mentor Name
Dr. Ronald Adams
Abstract
A matrix-based framework for modeling and optimizing fluid and gas in feed systems to pressurize for propulsion applications using advanced linear algebra techniques will be used in this project. The governing equations are derived from conservation of mass, momentum, and energy and are formulated in state space form. This enables the system to be expressed as a set of coupled linear differential equations. These equations are assembled into structured system matrices that show the interactions between pressure, flow rate, and component dynamics. This representation allows for numerical implementation and scalability to complex systems with multiple components. System behavior is analyzed through eigenvalue decomposition and spectral analysis of the system matrix to look at stability, transient response, and the onset of phenomena such as pressure droop, water hammer, boil-off, and slug flow. Singular value decomposition and matrix conditioning are further employed to assess sensitivity to parameter variations and to identify bad conditions that may lead to numerical or physical instability. Additionally, parameterized system matrices enable the application of constrained optimization techniques to evaluate a trade-off between propellant properties, operating conditions, and system performance. This provides an efficient tool for predicting system behavior and guiding design decisions in propulsion feed systems.
Did this research project receive funding support (Spark, SURF, Research Abroad, Student Internal Grants, Collaborative, Climbing, or Ignite Grants) from the Office of Undergraduate Research?
No
Included in
Numerical Analysis and Computation Commons, Propulsion and Power Commons, Systems Engineering Commons
Optimization of Engine
A matrix-based framework for modeling and optimizing fluid and gas in feed systems to pressurize for propulsion applications using advanced linear algebra techniques will be used in this project. The governing equations are derived from conservation of mass, momentum, and energy and are formulated in state space form. This enables the system to be expressed as a set of coupled linear differential equations. These equations are assembled into structured system matrices that show the interactions between pressure, flow rate, and component dynamics. This representation allows for numerical implementation and scalability to complex systems with multiple components. System behavior is analyzed through eigenvalue decomposition and spectral analysis of the system matrix to look at stability, transient response, and the onset of phenomena such as pressure droop, water hammer, boil-off, and slug flow. Singular value decomposition and matrix conditioning are further employed to assess sensitivity to parameter variations and to identify bad conditions that may lead to numerical or physical instability. Additionally, parameterized system matrices enable the application of constrained optimization techniques to evaluate a trade-off between propellant properties, operating conditions, and system performance. This provides an efficient tool for predicting system behavior and guiding design decisions in propulsion feed systems.