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Numerical Simulation of Chemical Reactions Inside a Shock-Tube by the Space-Time Conservation Element and Solution Element Method

Bilyeu, David Lawrence
http://rave.ohiolink.edu/etdc/view?acc_num=osu1213363652

Abstract Details

2008, Master of Science, Ohio State University, Mechanical Engineering.
The goal of this master's project is to develop and test a numerical tool to simulate the fluid physics and chemical reactions inside of a shock tube. The one-dimensional Euler equations for chemically reacting flow are employed to model the fluid flows and detailed finite-rate chemistry models are used to simulate chemical reactions. The CESE method is used to solve the Euler equation. The implicit trapezoidal method with sub-time steps is used to solve the stiff ODEs for chemical reactions. The newly developed code has been validated by (i) zero-dimensional calculations for testing the chemistry solver (ii) Calculation of the ignition delay in a shock tube. The results were compared with the ignition time from shock tube experiments. The new shock-tube tool will be used (i) to study the lean-blow-out in scramjet engines and (ii) to assess the required mesh and time resolution for 2/3-dimensional simulation of chemically reacting flows.
Prof. Sheng-Tao Yu (Advisor)
Dr. Douglas Davis (Other)
Prof. Jeffrey Sutton (Other)
133 p.
Combustion; Finite-rate chemistry; shock tunel; CESE method; Stiff ODE

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Citations

  • Bilyeu, D. L. (2008). Numerical Simulation of Chemical Reactions Inside a Shock-Tube by the Space-Time Conservation Element and Solution Element Method [Master's thesis, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1213363652

    APA Style (7th edition)

  • Bilyeu, David. Numerical Simulation of Chemical Reactions Inside a Shock-Tube by the Space-Time Conservation Element and Solution Element Method. 2008. Ohio State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1213363652.

    MLA Style (8th edition)

  • Bilyeu, David. "Numerical Simulation of Chemical Reactions Inside a Shock-Tube by the Space-Time Conservation Element and Solution Element Method." Master's thesis, Ohio State University, 2008. http://rave.ohiolink.edu/etdc/view?acc_num=osu1213363652

    Chicago Manual of Style (17th edition)

osu1213363652
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© 2008, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.