Based on the tubular burner, the burning velocities, flame stretch and inhibition rules influenced by co-flow water mists were studied using a high-speed schlieren system. Moreover, the variation rules of the flame critical extinction in our burner equipment were also obtained by analyzing the process and mechanism of flame extinction and inhibition. It is shown that the flame stretch is related to the fuel concentration, co-flow fluxes and water mist diameters. For droplets with a larger diameter, the smaller the co-flow fluxes, the more obvious the flame stretch. When the water mist loading rate is rather smaller, for fuel-rich premixed flame with Le>1, the flame with larger burning rate tends to backfire more easily. Under the same water mist conditions, for fuel-lean premixed flame with Le<1, the smaller the gas concentration, the easier the flame is extinct.water mist, co-flow, flame stretch, inhibition, tube burnerIn the study of fire extinction and explosion suppression technology by water mist, research results showed that water mist was not efficient enough on the inhibition and extinction of obstacle fire and gas explosion. Moreover, under certain conditions, the water mist may increase the overpressure of the gas explosion and accelerate the gas flame propagation [1][2][3][4][5] . Due to the gas expansion produced by the water mist evaporation and gas disturbance caused by the larger droplets, which do not evaporate completely, there will appear certain flame stretch and flame disturbance influencing the process of mass and heat transfer in the flame front. As a result, the burning rate will increase or decrease [6,7] . According to the influence of flame stretch on the flame stability, it is shown that the flame stretch caused by flame distortion, flame curling and gas flowing will have further influence on the flame structure, burning rate and flame extinction [8,9] . Only a few studies on the flame stretch and extinction characteristics of Bunsen flame have been carried out, and there are even fewer studies on the flame stretch influenced by water mist.According to the state of premixed flame, the experimental studies methods on the interaction between water mist and premixed flame mainly include propagating flame [2,4,[10][11][12] and stationary flame [13][14][15][16] . Using the flame propagation tube, it is possible to visualize the process of flame propagation in the water mist zone and it is easy to study the distortion of mono-dispersed water mist droplet in the flow gases of propagation flame. Many researchers have studied the efficiency of explosion suppression, flame propagating velocities and flame overpressure influenced by water mist in the flame propagation tube, such as Acton [2] , Thomas [12] , Catlin [17] , et al. For the limitation of ignition, premixed gases profile and tube wall characteristics, the experiments could only present phenomenological analysis for features of flame propagation, flame characteristics in the water mist zone, and the water mist conditions of flame suppres...