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Impacts of wall conditions on flame acceleration at the early stages of burning in channels

Mohammed AlKhabbaz1, Furkan Kodakoglu1, Damir Valiev2, and V’yacheslav Akkerman1,*

  • 1Center for Innovation in Gas Research and Utilization (CIGRU), Center for Alternative Fuels, Engines and Emissions (CAFEE), Computational Fluid Dynamics and Applied Multi-Physics Center, Department of Mechanical and Aerospace Engineering, West Virginia University, Morgantown, West Virginia 26506, USA
  • 2Center for Combustion Energy, Department of Energy and Power Engineering, Tsinghua University, Beijing 100084, China

  • *Vyacheslav.Akkerman@mail.wvu.edu
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Phys. Rev. Fluids 7, 013201 – Published 31 January, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.013201

Abstract

The role of mechanistic (shear stress) and thermal wall conditions on the scenario of finger-shaped flame acceleration at the early stages of burning in channels is studied by means of computational simulations of the reacting flow equations involving fully compressible hydrodynamics, transport properties (heat conduction, diffusion, and viscosity), and chemical kinetics imitated by a one-step Arrhenius reaction. Specifically, free-slip walls (i.e., no shear stress at the walls) or nonslip walls (with shear stress) are considered as the mechanistic conditions, while the options for the thermal boundaries include adiabatic walls or isothermal walls of various temperatures. The parametric study involves variations of the channel widths, the thermal expansion ratios, and isothermal wall temperatures for the cases of both slip and nonslip wall conditions. It is shown that the difference between the effects of slip and nonslip walls is generally small during the early stages of burning, before a flame skirt contacts a sidewall. Thereafter, wall friction may play the role; in particular, it may distort or even prevent the formation of a tulip flame front. As for the thermal boundaries, while the finger flame dynamics in adiabatic channels is oftentimes similar to that in isothermal ones, the wall temperature has an impact on flame acceleration such that a flame tends to accelerate faster in hotter channels. Moreover, for isothermal walls preheated to a high temperature, emergence and propagation of an octopuslike flame front are observed. This feature is devoted to the formation of the secondary flame segments near very hot sidewalls, due to a high wall temperature. The impact of thermal expansion on the flame acceleration rate is significant for any wall conditions; it is slightly stronger for isothermal walls, and the flame front approaches the sidewalls faster at a lower thermal expansion ratio. Variation of the channel width shows a small impact in the case of adiabatic walls as well as preheated isothermal walls, but it provides a significant influence on flame propagation in a channel with isothermal walls kept at an initial fuel temperature. At the same time, the role of the channel width is practically the same for both slip and nonslip walls. Overall, the present work verifies and underlines the limitations of the previous theoretical models and computational studies of finger flame acceleration that employed adiabatic slip walls.

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Phys. Rev. Fluids 7, 013201– Published 31 January, 2022
  • Received 15 August 2018
  • Accepted 3 January 2022
Article part of CHORUS
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