TY - ELEC
AU - Xin, Jack
PY - 2018
TI - Curvature effect in shear flow: slowdown of flame speeds with Markstein number
LA - eng
M3 - Moving Image
AB - A well-known folklore in combustion community is that curvature effect in general slows down flame propagation speeds because it
smooths out wrinkled flames. As the first theoretical result in this direction, we prove that the effective flame speed is
decreasing with respect to curvature diffusivity (Markstein number) for shear flows in the level-set G-equation model. The proof
involves several novel and rather sophisticated inequalities arising from the nonlinear structure of the equation. We also show
similar phenomenon in non-shear flows numerically. This is joint work with Jiancheng Lyu and Yifeng Yu.
N2 - A well-known folklore in combustion community is that curvature effect in general slows down flame propagation speeds because it
smooths out wrinkled flames. As the first theoretical result in this direction, we prove that the effective flame speed is
decreasing with respect to curvature diffusivity (Markstein number) for shear flows in the level-set G-equation model. The proof
involves several novel and rather sophisticated inequalities arising from the nonlinear structure of the equation. We also show
similar phenomenon in non-shear flows numerically. This is joint work with Jiancheng Lyu and Yifeng Yu.
UR - https://open.library.ubc.ca/collections/48630/items/1.0376905
ER - End of Reference