A new design theory for zone-transport continuous refiner invented by W.G. Pfann has been obtained. According to Pfann’s theory, the purification ratio for stripping section, β, is zero at Ls=∞, K=1, and β has negative value at Ls>>1, K>1, where Ls is the length of stripping section, K is the distribution coefficient of impurity. Such results seem to be unreasonable. Under some suitable assumptions, the author has proposed different equations which show reaso nable results even in the above cases.