Initiation and Flame Propagation in Combustion of Gases and Pyrophoric Metal Nanostructures by Nikolai M. Rubtsov & Boris S. Seplyarskii & Michail I. Alymov

Author:Nikolai M. Rubtsov & Boris S. Seplyarskii & Michail I. Alymov
Language: eng
Format: epub
ISBN: 9783030578916
Publisher: Springer International Publishing

A two-dimensional planar problem was examined. Characteristic scales of the process were chosen as follows: t0 = 1/(k10 [H2]0), x0 = (D3/k10[H2]0)1/2, U0 = x0/t0 = (D3k10[H2]0)1/2 (the scales of time, length and velocity correspondingly, D3 is the diffusivity of H2). We determine the dimensionless variables and parameters τ = t/t0, ξ = x/x0, η = y/y0, ϖ = U/U0, Yi = [concentration of ith component]/[H2]0, δi = Di/D3 (Di—diffusivity of ith component). Velocity and coordinates of the propagating flame front were designated in terms of the diffusivity of H2 (D3): ϖ = U/(D3 k10[H2]0)1/2, ξ = x/(D3/k10[H2]0)1/2, η = y/(D3/k10[H2]0)1/2; here, U, x and y are corresponding dimensional values, k10—the pre-exponential factor of the reaction (1). Diffusivities (Di/D3, i = 0–6) δ0, δ1, δ2, δ3 = 1, δ4, δ5, δ6 in H2 + O2 mixture refer to OH, O, H, H2, O2, HO2, H2O2 correspondingly. The set of reaction–diffusion equations for the above reaction mechanism takes the form (m, n = 0–6 refer to reacting particles OH, O, H, H2, O2, HO2, H2O2, respectively):

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