Based on the variable time interval average method

a multi-scale two-phase turbulent model was put forward and established. Compared with the experiment results

the rationality of the multi-scale gas-liquid two-phase mathematic model

the modeling parameters and interactive mechanism of gas-liquid two-phase flows was proved. Its relative error of drag coefficient was 1.45%

and the fluctuating lift coefficient was 0.323%. This model could also accurately predict vortex shedding characteristics with its relative error of St was 2.17%. However

its relative error of size of the recirculation zone was 2.33%. And the computational results were better than those of the standard k-ε and RNG (renormalization group) k-ε models. Using the multi-scale two-phase turbulent model

the two-phase flow around six different bluff-body stabilized burners was predicted. The computational results show that the ship-shaped and cone-shaped structures have good overall performance in these six different bluff-body stabilized burners. The recirculation zone of ship-shaped structure is larger than cone-shaped by 10.53%. The time-averaged drag coefficient of ship-shaped structure is larger than cone-shaped by 4.776%. The root-mean-square value of fluctuating lift coefficient of ship-shaped structure is smaller than cone-shaped by 44.73%. And by comprehensive comparison

the ship-shaped structure has the best performance.