The first, second and third class factors that affect the head of low specific speed centrifugal pumps are ranked by using grey theory. The first class factors include the impeller parameter IP and volute parameter VP; the second class factors have four parameters, such as impeller inlet parameter IIP, outlet parameter IOP, volute plane parameter VPP and cross-sectional parameter VSP; the third class factors involve 14 parameters, namely impeller eye diameter D0, outlet diameter D2 and volute base circle diameter D3 and so on. The results show that IP has the most important effect on the head but the effect of VP is the smallest for the first class factors. For the second class factors, the IOP effect is the largest, the VSP effect is the smallest, and the IIP and VPP influences are in between. For the third class factors, the head is affected in the order(great to small)of D2 β2 Z b2, β1 D0 b1, D3 α s, and b3 b4 h FⅧ, respectively in IOP, IIP, VPP and VSP parameter groups. The concept, idea and method on the classification of impeller and volute geometrical parameters are new, and the corresponding grey relational grade formulas are proposed firstly. The results achieved can provide an important basis for design and existing product update of low specific speed centrifugal pumps.
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