Casson model often used to describe the shear stress vs. shear rate relationship in colloidal suspensions where particle aggregation might cause the measured viscosity to increase at low shear rates. shear stress τ and the appliedshear rate S were fitted to the Casson model as written as √t=√T₁+√as.(1)The best least square fit parameters to the experimental data were found to be 40 mPa for the yieldstress to and 2.5 mPa s for the parameter a, which is referred to as the plastic viscosity.a. Using Eq. (1), derive an expression for the fluid viscosity u as a function of S.b.Plot the viscosity of the fluid as a function of S for 0.1s¹ ≤S≤ 10 s¹.c. Based on class discussion on fluid classification, how would you characterize this fluid?

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Answered: √F=√₁+√as. The best least square fit…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Casson model often used to describe the shear stress vs. shear rate relationship
in colloidal suspensions where particle aggregation might cause the measured viscosity to
increase at low shear rates. shear stress τ and the applied
shear rate S were fitted to the Casson model as written as

√t=√T₁+√as.
(1)
The best least square fit parameters to the experimental data were found to be 40 mPa for the yield
stress to and 2.5 mPa s for the parameter a, which is referred to as the plastic viscosity.
a. Using Eq. (1), derive an expression for the fluid viscosity u as a function of S.
b.
Plot the viscosity of the fluid as a function of S for 0.1s¹ ≤S≤ 10 s¹.
c. Based on class discussion on fluid classification, how would you characterize this fluid?

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