Flame dynamics and Markstein numbers in Hele-Shaw cells and porous media under Darcy's law
This study presents a hydrodynamic model demonstrating that premixed flames in Hele-Shaw cells and porous media under Darcy's law exhibit unique dynamics characterized by distinct Markstein numbers for curvature, tangential strain, and gravity, where viscosity-driven tangential velocity discontinuities fundamentally alter flame stability and instability mechanisms compared to conventional combustion.