Filtration of non-Newtonian fluids has become increasingly important in broad areas of industry. In the previous paper, a basic theory of power-law non-Newtonian filtration was presented by using the fixed spatial coordinate which has been traditionally used in studies in filtration, and an approximate method for predicting overall filtration characteristics was presented.
In this paper, a more accurate theory is derived in consideration of the internal flow rate variation due to cake compressibility, which enables one to evaluate not only the rigorous, overall characteristics but also the internal cake structures in non-Newtonian filtration. The theory is represented by using a moving coordinate in accordance with recent works in cake expression. Under various conditions of the flow behavior index TV, ranging from N- 0.344 for highly pseudoplastic non-Newtonian fluids to N=-1 for Newtonian fluids, and of applied filtration pressure ranging from 1000 to 3000 G/cm², constant-pressure filtration experiments were carried out. It is shown that both the observed variations of the hydraulic pressures pL in filter cake and the average specific filtration resistance experimentally determined coincide fairly well with predictions based upon the theory presented in this paper.