Authors

Ying Xu

Type

Text

Type

Dissertation

Advisor

Samulyak, Roman | Glimm, James | Jiao, Xiangmin | McGuigan, Michael.

Date

2014-12-01

Keywords

Mathematics

Department

Department of Applied Mathematics and Statistics.

Language

en_US

Source

This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree.

Identifier

http://hdl.handle.net/11401/76416

Publisher

The Graduate School, Stony Brook University: Stony Brook, NY.

Format

application/pdf

Abstract

Physical and numerical modeling of turbulent mixing and turbulent combustion in a Scramjet combustion chamber is studied. A high-order finite volume scheme is applied to the flow, accompanied with dynamic subgrid-scale model and local averaging procedure to account for the effect of unresolved small length scales turbulent fluid behavior. The Arrhenius law kinetic mechanism is applied to describe the nonlinearity of chemical reactions. To model combustion, the finite rate chemistry is developed to characterize the combustion process inside the combustion chamber. Results are compared among the finite rate model, the flamelet model/progress variable approach adopted by Stanford PSAAP center and experimental data. Since the mesh requirement to resolve the flame front is too strict for most combustion simulation applications, the thickened flame model that artificially expands the flame front is investigated. The effectiveness of the model is studied in a one-dimensional context and applied to the three-dimensional Scramjet simulation. The feasible level of thickening factor is determined to assume that the major flame features should be preserved. The model is further extended to dynamic thickened flame to account for the coexistence of premixed and diffusion flame in the combustion chamber. It is extended to a reduced chemical mechanism to reduce the time complexity needed to solve chemistry. | 99 pages

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