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• W4293386306 endingPage "104445" @default.
• W4293386306 startingPage "104445" @default.
• W4293386306 abstract "A significant proportion of non-Newtonian fluids exhibits the phenomena of shear-thinning and yield stress. The Herschel-Bulkley model is probably the most widespread equation to describe the rheological behaviour of such systems, although greater attention is being paid to discerning more accurate mathematical models for viscoplastic systems. In this regard, the work presented herein investigates existing, unconventional viscoplastic models and evaluates their fitting and predictive capabilities in relation to collected magnetorheological data. The four-parameter models of modified Carreau, modified Cross (and its variant extended with the Quemada equation), Shulman and Nasiri-Ashrafizadeh were applied to appraise the shear data of the magnetorheological fluids. Their suitability was also statistically evaluated and compared with that attained for the conventional Herschel-Bulkley model and recently employed analogues, such as the Robertson-Stiff and Mizrahi-Berk models. It was found that the performance of all models for describing magnetorheological flow curves was adequate, with relatively high correlation coefficients. Applying the four-parameter models, however, provided higher accuracy, demonstrated by notably reduced statistical coefficients of regression analysis. Both of the modified Carreau and Cross models exhibited superior fitting performance (up to 4-times lower root mean square error), while the Shulman and Nasiri-Ashrafizadeh models proved questionable in application. Although interpreting four-parameter equations is a rather complex matter, they provided more reliable prediction of shear stress data across the entire range of shear rate than the Herschel-Bulkley approximation, especially the modified Carreau and modified Cross models. It is believed that these findings can be extended to describe the rheology of other systems with viscoplastic characteristics. • Parametric modelling of viscoplastic magnetorheological data was refined. • The performance of the Herschel-Bulkley model was tested against newly implemented models. • The accuracy and robustness of the models investigated were statistically evaluated. • The modified Carreau and modified Cross models showed superior fitting capability." @default.
• W4293386306 created "2022-08-28" @default.
• W4293386306 creator A5049293979 @default.
• W4293386306 date "2022-10-01" @default.
• W4293386306 modified "2023-09-29" @default.
• W4293386306 title "Constitutive models that exceed the fitting capabilities of the Herschel–Bulkley model: A case study for shear magnetorheology" @default.
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• W4293386306 doi "https://doi.org/10.1016/j.mechmat.2022.104445" @default.
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