Finite volume solutions of 1D Euler equations for high spped flows with finite-rare chemistry

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2003

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Erdem, Birşen

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In this thesis, chemically reacting flows are studied mainly for detonation problems under 1D, cylindrical and spherical symmetry conditions. The mathematical formulation of chemically reacting, inviscid, unsteady flows with species conservation equations and finite-rate chemistry is described. The Euler equations with finite-rate chemistry are discretized by Finite-Volume method and solved implicitly by using a time-spliting method. Inviscid fluxes are computed using Roe Flux Difference Splitting Model. The numerical solution is implemented in parallel using domain decomposition and PVM library routines for inter-process communication. The solution algorithm is validated first against the numerical and experimental data for a shock tube problem with and without chemical reactions and for a cylindrical and spherical propagation of a shock wave. 1D, cylindrically and spherically symmetric detonations of H2:O2:Ar mixture are studied next.

Subject Keywords

Chemical reactions, Chemistry, Technical, Equations of motion

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http://etd.lib.metu.edu.tr/upload/2/703868/index.pdf
https://hdl.handle.net/11511/13706

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Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

B. Erdem, “Finite volume solutions of 1D Euler equations for high spped flows with finite-rare chemistry,” M.S. - Master of Science, Middle East Technical University, 2003.