Multivariate magnetorheological fluid modeling based on Mason number

Abstract

This paper analyses the nonlinear rheological behavior of magnetorheological fluids over a wide range of shear rates, finding that the ELMA model describes this well, and explains the mechanism by using the long and short-range forces and Stribeck effects. A modified Mason number is proposed to solve the problem that the off-state nonlinear behavior of magnetorheological fluids cannot be handled by the existing dimensionless analysis based on the Mason number. Then, the ELMA multivariate model is designed based on the modified Mason number. The proposed ELMA multivariate model has certain physical meanings and can accurately describe the magnetorheological behavior of magnetorheological fluids in a wide range of shear rates. Specifically, contrasting with the polynomial model, the proposed model demonstrates an improvement by at least an order of magnitude in fitting accuracy.