S. P. Burke’s scientific contributions

... The φ cr decreases with the increase of the confinement ratio for the three kinds of fuels. According to Burke and Schumann's theory [37,38], the stoichiometric mixture fraction contours are open when φ>1, and in the confined tube, the φ cr is almost 1 under a high coflow velocity, and it is greater than 1 when the airflow velocity is lower, indicating that this type of flame-tip opening is caused by inadequate oxygen supply. For propane, the φ cr is less than 1 for all the airflow velocities, at which the stoichiometric mixture fraction contours are closed. ...

Reference:

Stability of Gas Diffusion Flame in Laterally Confined Space

... This process has been the focus of numerical studies for roughly one hundred years. The first approaches developed by Nusselt [10], and Burke and Schuman [11] proposed one and two-film analytical models, respectively. Since currently the computational resources, power, and technology have dramatically increased, it is now feasible to simulate complex engineering applications. ...

Reference:

3D study of a chemically reacting fixed-bed under gasification conditions for non-porous char: Laminar flow

... Species transport was modelled using the mixture fraction theory originally developed for diffusion flames (Bilger 1976, Burke andSchumann 1928). Eq. (11) outlines the transport equations for the filtered mean mixture fraction, denoted as . ...

Reference:

Comparison of Reacting DDES and LES CFD Simulation Methodologies for a Dual Inlet Ramjet Engine Combustor