Table 9 The Power-law, Bingham-plastic, and Herschel–Bulkley models equations and parameters for BSG polymer.

Power-law model

\(\:\tau\:=k.{\dot{\gamma\:}}^{n}\)

k = 19.22

n=-0.077

\(\:\tau\:=19.22\dot{\gamma\:}\)^−0.077

R² = 0.959

Bingham-Plastic

\(\:\tau\:={\tau\:}_{^\circ\:}+k\dot{\gamma\:}\)

\(\:{\tau\:}_{^\circ\:}\)=16.01

k = 0.13

\(\:\tau\:=16.01+0.13\dot{\gamma\:}\)

R² = 0.731

Herschel-Bulkey

\(\:\tau\:={\tau\:}_{^\circ\:}+k\dot{{\gamma\:}^{n}}\)

\(\:{\tau\:}_{^\circ\:}\)=8.29

n = 0.1425

k = 10.25

\(\:\tau\:=8.29+10.25\dot{{\dot{\gamma\:}}^{0.1425}}\)

R² = 0.967