TY - JOUR
T1 - Non-linear least squares fitting of coefficients in the Herschel-Bulkley model
AU - Mullineux, Glen
PY - 2008/12
Y1 - 2008/12
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=50149118817&partnerID=8YFLogxK
UR - http://dx.doi.org/10.1016/j.apm.2007.09.010
U2 - 10.1016/j.apm.2007.09.010
DO - 10.1016/j.apm.2007.09.010
M3 - Article
SN - 0307-904X
VL - 32
SP - 2538
EP - 2551
JO - Applied Mathematical Modelling
JF - Applied Mathematical Modelling
IS - 12
ER -