ECCOMAS 2024

Effects of thermal boundary conditions on scalar statistics during flame-wall interaction of premixed combustion within turbulent boundary layers

  • Ghai, Sanjeev (Newcastle University)
  • Ahmed, Umair (Newcastle University)
  • Chakraborty, Nilanjan (Newcastle University)

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Direct numerical simulations (DNS) are performed to analyse the influence of thermal wall boundary conditions during flame-wall interaction (FWI) of statistically stationary premixed V-flames within turbulent channel flows. The current analysis considers two distinct wall boundary conditions, namely, isothermal and adiabatic walls. For isothermal simulations, the temperature boundary condition is specified using Dirichlet conditions. In one scenario, the wall temperature \(T_w\) is set equal to the non-reacting air-fuel mixture temperature, which is taken to be \(T_R=730 K\), while in another scenario, the wall is heated to \(T_w=1230 K\). In the case of adiabatic walls, the temperature boundary condition is established using zero gradient/homogeneous Neumann conditions, denoted as \(\partial T /\partial n|_{wall}= 0\). The flame is taken to be representative of a stoichiometric methane-air mixture and the inflow turbulence is obtained from a turbulent channel flow with a friction velocity-based Reynolds Number of $Re_{\tau}$=110. Notable differences have been observed in the mean behaviours of the progress variable and non-dimensional temperature in response to varying wall boundary conditions. In the region upstream of FWI the mean friction velocity values exhibit a higher magnitude in the presence of isothermal elevated wall temperature conditions when compared to the isothermal wall at the reactant temperature and adiabatic wall conditions. During FWI, the mean friction velocity values begin to diminish in both instances involving isothermal walls. In contrast, for the adiabatic wall conditions, the mean friction velocity values initially rise, followed by a subsequent decrease, yet these values persist at a level surpassing those observed in both cases with isothermal wall conditions. During FWI, for all thermal wall boundary conditions, the mean scalar dissipation rates of the progress variable and temperature exhibit a decreasing trend towards the wall. Notably, in the scenario of isothermal wall conditions, a higher scalar dissipation rate for the non-dimensional temperature is observed in comparison to the scalar dissipation rate for the progress variable. The scalar fluxes of the reaction progress variable and non-dimensional temperature demonstrate both gradient and counter-gradient behaviours, depending on the position of the flame in relation to the wall and the thermal wall boundary conditions.