High-Speed Reaction Zone Structure for Variable Mole Chemistry (original) (raw)

SIAM Journal on Applied Mathematics, 1991

Abstract

ABSTRACT The author presents a study of the structure of a subsonic high speed reaction zone downstream of a specific origin is investigated theoretically for the global reaction F+O P. The molecular weights of the reactants are arbitrary and the reaction is not mole-preserving in general. As a result, the equation of state for the reacting mixture is more general than that for a perfect gas. The chemical heat addition is significant relative to the initial enthalpy of the flow. Perturbation methods based on the limits of high activation energy are used to construct solutions. The structure of the entire deflagration is determined by a fundamental balance of convection, reaction and compressibility effects except in a very thin zone adjacent to the origin where transport effects are important. A convecting thermal explosion is observed in a subsequent ignition zone where the ignition delay distance is dependent on the initial stoichiometry of the flow. As a result of the non-mole preserving reaction, the flow velocity decreases with increasing temperature when the chemical heat release parameter is less than a special value dependent on the stoichiometry of the flow. In a downstream region characterized by a strong interaction between large heat release and flow compressibility, the flow velocity reaches a maximum and then declines while the final temperature increase occurs if the chemical heat release parameter is greater than this special value. Additionally, it is found that the flow cannot evolve to the Chapman-Jouguet condition where the final local Mach number is unity and the reactant concentration is zero.

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