Membrane dispersion has extensive application prospects. The membrane flux serves as a pivotal parameter for assessing production efficiency, optimization, and scalability. Nevertheless, it remains a great challenge in establishing a mathematical model that accurately describes the relationship between the membrane flux and its associated factors. Herein, the flux variation of multi-channel ceramic membranes during bubble preparation was investigated by experimental analysis and mathematical modeling. The membrane flux is significantly influenced by factors such as the membrane pore size and membrane channel number. Additionally, system pressure, gas-liquid flow ratio, liquid viscosity, and surface tension exert substantial effects on membrane flux fluctuations. A prediction model of the membrane flux is established based on the empirical model for the first time, and the error of the model is less than 10%. The model can be used to predict the optimal membrane pore size and area across different operation conditions and liquid properties.