Correlation equations for predicting the permeate flux of membrane ultrafiltration in ceramic-tube modules were derived from momentum and mass balances based on the resistance-in-series model, coupled with the considerations of declinations of flow rate and transmembrane pressure along the membrane tubes. Experimental work for the ultrafiltration of Dextran 500 aqueous solution was carried out in a Carbsep model module made of ZrO2/Carbon; and further this experiment will have different exits of permeate flux in the membrane module shell side. Correlation predictions are confirmed with the experimental results, especially for the practically operating range of transmembrane pressure. The effects of flow rate, concentration of solution and transmembrane pressure on the declination of permeate flux along the membrane tubes were also discussed. According to the decline of the solution flux obtained from this experiment we can further improve the flux theory.