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Spectral element method for numerical simulation of unsteady laminar diffusion flames

Wessel, Richard Allen, Jr
http://rave.ohiolink.edu/etdc/view?acc_num=case1057076472

Abstract Details

1993, Doctor of Philosophy, Case Western Reserve University, Mechanical Engineering.
A numerical method was developed for simulation of unsteady flow with combustion. The spectral element method is used to solve the Navier-Stokes equations for conservation of mass, momentum, energy and species. The method by Korczak and Patera (1986) was extended to include variable transport properties and Arrhenius rate chemical reaction. A variable density formulation was developed, but was found to be numerically unstable using fractional time splitting and an implicit formulation of the pressure solution to satisfy the mass continuity constraint. Therefore, the choice of constant density flow was made for practical reasons rather than physical. Time accurate simulations of a diffusion flame were conducted for initially separate co-flowing streams of fuel and oxidant in a two-dimensional duct. Flow regimes and transitional states for a laminar attached flame, unsteady attached flame and blow-off were investigated. An increase in air velocity has the effect of making the flame shorter. Eventually the wake type flow becomes unstable and begins to oscillate. As vortices alternately form and shed from the fuel channel, the flow stretches the flame between eddies and compresses the flame within the eddies. Increasing fuel velocity effects fl ame detachment and subsequent blowoff as the streamwise velocity exceeds the laminar flame speed. Results are in qualitative agreement with experimental observations in the literature.
James T'ien (Advisor)
281 p.
Spectral element method numerical simulation unsteady laminar diffusion flames

Recommended Citations

Citations

  • Wessel, Jr, R. A. (1993). Spectral element method for numerical simulation of unsteady laminar diffusion flames [Doctoral dissertation, Case Western Reserve University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=case1057076472

    APA Style (7th edition)

  • Wessel, Jr, Richard. Spectral element method for numerical simulation of unsteady laminar diffusion flames. 1993. Case Western Reserve University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=case1057076472.

    MLA Style (8th edition)

  • Wessel, Jr, Richard. "Spectral element method for numerical simulation of unsteady laminar diffusion flames." Doctoral dissertation, Case Western Reserve University, 1993. http://rave.ohiolink.edu/etdc/view?acc_num=case1057076472

    Chicago Manual of Style (17th edition)

case1057076472
687
© 1993, all rights reserved.
This open access ETD is published by Case Western Reserve University School of Graduate Studies and OhioLINK.