Non-linear least squares fitting of coefficients in the Herschel-Bulkley model

Glen Mullineux

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

The Herschel–Bulkley model can be used to describe the rheological behaviour of certain non-Newtonian fluids. When fitting to experimental data, its parameters need to be determined and this is a non-linear problem. The conventional approach is to solve the resulting normal equations numerically. An alternative method is presented for the Herschel–Bulkley model which eliminates the complexity associated with a general numerical method, and so offers potential benefits when dealing with the model in practice.
Original languageEnglish
Pages (from-to)2538-2551
Number of pages14
JournalApplied Mathematical Modelling
Volume32
Issue number12
DOIs
Publication statusPublished - Dec 2008

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