Verified Computations of Laminar Premixed Flames

Al-Khateeb, Ashraf N.; Powers, Joseph M.; Paolucci, Samuel

doi:10.2514/6.2007-381

Cited by 3 publications

(1 citation statement)

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“…As such, it is able to estimate accurately the length scales using a fundamental mathematical approach. Lastly, the present study extends some of our preliminary work on laminar flames [9,10].…”

Section: Introductionsupporting

confidence: 73%

On the Necessary Grid Resolution for Verified Calculation of Premixed Laminar Flames

Al-Khateeb¹,

Powers

Paolucci

2010

CICP

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We consider the grid resolution necessary to resolve combustion in a mixture of calorically imperfect ideal gases described by detailed kinetics and multicomponent transport. Using the steady premixed laminar flame as a paradigm, the required spatial discretization to capture all detailed physics in the reaction zone is found via 1) determination of the finest grid used in a standard software tool which employs adaptive mesh refinement, 2) examination of peak values of intermediate species mass fractions in the flame zone as a function of grid size, 3) a formal grid resolution study, and 4) a robust new eigenvalue analysis developed to estimate the finest length scale. Application to laminar premixed flames in hydrogen-air flames reveals that the finest length scale is on the order of 10 −4 cm for combustion at atmospheric pressure. Resolution at this scale is shown to be necessary to capture detailed species mass fraction profiles; other features such as steady flame speeds and equilibrium thermochemical properties do not have such a stringent length scale requirement.

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Section: Introductionsupporting

confidence: 73%