[Study on the mathematic model about surfactants screening used for smoke wet purification]. 
Surfactants increase wetting, solubilization of carbon black and reduce interfacial tension between surfactants and carbon black are very important for the wet removal of furnace smoke.  Calculated hydrophile-lipophile balance value (HLB), critical micelle concentration (CMC) and Gibbs-free-energy (deltaG0(mf)) of mixed surfactants solution generated on the basis of selected mathematical models.  The CMC of AEO-9, SDBS solution at different ratios and smoke removal efficiency at the CMC were gained by experiments.  The relation among HLB, CMC and deltaG0(mf) in mixed surfactants were analyzed.  At last, new mathematic models were established about them.  The results showed that the calculated data had good agreement with the experimental data.  HLB was linearly correlate with ln [CMC].  There was a quadratic relationship between deltaG0(mf) and smoke removal efficiency.  The reducing CMC could effectively increase HLB value and solubility, while the deltaG0(mf) and surface tension were both decreased, which could form micelles more spontaneously and enhance smoke removal significantly.