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Lean premixed reacting flows with swirl and wall-separation zones in a contracting open circular chamber

Zvi Rusak*, Yuxin Zhang, and Jung J. Choi

Shixiao Wang

  • Department of Mechanical, Aerospace and Nuclear Engineering, Rensselaer Polytechnic Institute, Troy, New York 12180, USA

  • Department of Mathematics, University of Auckland, 38 Princes Street, Auckland 1142, New Zealand

  • *Corresponding author: rusakz@rpi.edu
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Phys. Rev. Fluids 3, 113201 – Published 6 November, 2018

DOI: https://doi.org/10.1103/PhysRevFluids.3.113201

Abstract

A model problem of low-Mach-number lean premixed reacting swirling flows with wall-separation zones in a contracting circular finite-length open chamber is studied. Assuming a complete reaction with high activation energy and chemical equilibrium behind the reaction zone, a nonlinear partial differential equation is derived for the solution of the flow stream function behind the reaction zone in terms of the specific total enthalpy for a reacting flow, the specific entropy, and the circulation functions prescribed at the chamber's inlet. Four types of solutions of the resulting ordinary differential equation for the columnar flow case describe the outlet state of the flow in a long chamber. The bifurcation diagrams of steady flows as the inlet swirl level is increased at fixed chamber contraction and reaction heat release are described. The approach is applied to an inlet solid-body rotation flow with constant profiles of the axial velocity, temperature, and mixture reactant mass fraction. The computed results provide theoretical predictions of the critical inlet swirl levels for the first appearance of wall-separation states and for the size of the separation zone as a function of the inlet swirl ratio, Mach number, chamber contraction, and heat release of the reaction. The methodology developed in this paper provides a theoretical feasibility for the development of the technology of swirl-assisted combustion where the reaction zone is supported and stabilized by a wall-separation zone.

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Phys. Rev. Fluids 3, 113201– Published 6 November, 2018
  • Received 14 March 2018
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