To achieve a more effective optimization method for upstream pumping mechanical seals, based on cavitation model, the spiral groove geometrical parameters, such as groove depth h, spiral angle α, groove diameter ratio β and groove width ratio γ are considered as the design variables and the leakage through the seal is used as the objective function. Then, 50 mechanical seals are designed by means of uniform experimental design method, and the values of objective function are calculated by CFD to establish regression models of the objective function with respect to these variables. The response surface method is used to analyze the interaction of between the design variables and their effects on the leakage by making use of the leakage contours generated in MATLAB. Consequently, the optimal ranges of the design variables are determined. The fluid dynamics in three seals with design variables in the optimal ranges is simulated to decide the optimal combination of the design variables. It is confirmed that it is feasible to use the response surface method in upstream pumping mechanical seal optimization. When the groove depth h, spiral angle α, groove diameter ratio β and groove width ratio γ are in range of 6-12 μm, 16°-20°, 0.35-0.55 and 0.45-0.6, respectively, the mechanical seal performance is even better.
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