Development and validation of a new method to model slip and work input for centrifugal compressors

Herbert M Harrison
Slip in centrifugal compressors arises from imperfect guidance of the flow by the impeller blades and reduces the work input delivered by the impeller, and slip models are typically used to predict slip in preliminary design. However, slip models are typically calibrated with data that are not representative of modern aerospace compressors (i.e. pumps, turbochargers, or industrial compressors) and do not account for the variation of slip factor with operating condition. A generalized meanline
more » ... del for centrifugal compressors is developed to interrogate slip in centrifugal compressors from a one-dimensional design perspective. The meanline model is used to investigate the efficacy of slip models for predicting the slip factor and work input of modern, high-speed impellers at design and off-design conditions. Three slip models are used to predict the performance of five impellers, four of which are documented in the open literature. All three slip models generally overpredict the slip factor, and the largest error in the prediction of slip factor typically occurred near design speed. In addition, the analysis shows a close correlation between slip factor and two key design parameters of machine Mach number and loading coefficient over the entire compressor operating range. Finally, error propagation analysis shows that the error in impeller work input is proportional to the error in slip factor scaled by the square of machine Mach number and reveals the inherent challenge of accurate prediction of work input for high-speed machines.Finally, a new method of modeling slip factor and work input for centrifugal compressor impellers is presented. Rather than using geometry to predict the behavior of the flow at the impeller exit, the new method leverages governing relationships to predict the work input delivered by the impeller with dimensionless design parameters. The approach incorporates both impeller geometry and flow conditions and, therefore, is inherently able to predict the slip factor at design and off-de [...]
doi:10.25394/pgs.11905593.v1 fatcat:clvhp7qkj5bl3lmnxqj5ntbvza