Radiative Emission and Reabsorption in Laminar, Ethylene-Fueled Diffusion Flames Using the Discrete Ordinates Method

Dobbins, Richard R.; Hall, Robert J.; Cao, Su; Bennett, Beth Anne V.; Colket, Meredith B.; Smooke, Mitchell D.

doi:10.1080/00102202.2014.974806

Cited by 9 publications

(2 citation statements)

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“…The flow's small Mach number implies that pressure can be approximated as being independent of location in the flame, and mixture density can be directly obtained from the ideal gas law. Although larger chemical mechanisms and sectional soot models have been employed in other MC-Smooth simulations [51,72,73], the chemical mechanism adopted in this work is a C1 mechanism, which involves 16 species and 46 reactions [74] and has been utilized in previous studies [28,75]. The result is a model that consists of a total of 20 strongly coupled, highly nonlinear partial differential equations.…”

Section: Physical Model and Methods Of Solutionmentioning

confidence: 98%

“…Furthermore, replacing one Poisson-like velocity equation with the continuity equation will break the favourable second-order ellipticity of the governing equations and will compromise its advantageous convergence properties for fully implicit solvers. This deficiency is especially severe for flame simulations, because complicated and highly nonlinear models for chemical kinetics [44][45][46][47][48][49], radiation [50,51], diffusion [52], droplets [53][54][55], particles [56], soot [57][58][59][60][61] and electric fields [62][63][64] are often employed. In order to circumvent this difficulty, Ern and Smooke [33] suggested that the converged solution of the Poisson approach can be used as the initial guess in the hybrid approach [23,24].…”

Section: Introductionmentioning

confidence: 99%

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MC-Smooth: A mass-conserving, smooth vorticity–velocity formulation for multi-dimensional flows

Cao

Bennett

Smooke

2015

Combustion Theory and Modelling

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A novel vorticity-velocity formulation of the Navier-Stokes equations -the MassConserving, Smooth (MC-Smooth) vorticity-velocity formulation -is developed in this work. The governing equations of the MC-Smooth formulation include a new secondorder Poisson-like elliptic velocity equation, along with the vorticity transport equation, the energy conservation equation, and N spec species mass balance equations. In this study, the MC-Smooth formulation is compared to two pre-existing vorticity-velocity formulations by applying each formulation to confined and unconfined axisymmetric laminar diffusion flame problems. For both applications, very good to excellent agreement for the simulation results of the three formulations has been obtained. The MC-Smooth formulation requires the least CPU time and can overcome the limitations of the other two pre-existing vorticity-velocity formulations by ensuring mass conservation and solution smoothness over a broader range of flow conditions. In addition to these benefits, other important features of the MC-Smooth formulation include: (1) it does not require the use of a staggered grid, and (2) it does not require excessive grid refinement to ensure mass conservation. The MC-Smooth formulation is a computationally attractive approach that can effectively extend the applicability of the vorticity-velocity formulation.

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