Question

polymer Science and Engineering Polymer A (Guar Gum) Polymer B (Xanthan gum) shear rate (s?¹) shear stress (Pa) shear rate (s?¹) shear stress (Pa) 100 29.9 100 39.1 150 39.0 150 45.9 200 47.0 200 52.1 250 54.3 250 57.9 300 61.1 300 63.5 400 73.7 400 74.0 500 85.2 500 83.8 600 95.9 600 93.2 700 106.0 700 102.1 800 115.6 800 110.8 Determine and tabulate the viscosity corresponding to each shear rate. Plot the flow curves for the two data sets as $\sigma$ versus $\dot{\gamma}$ and $\eta$ versus $\dot{\gamma}$. *Fit an appropriate constitutive model to each data set and justify your choice (e.g. Newtonian, Hershel-Bulkley, Power law, .. etc.), and determine the corresponding material functions (e.g. $\mu$, K, n etc..). Comment on the similarity between the two fluids.

          polymer Science and Engineering
Polymer A (Guar Gum)
Polymer B (Xanthan gum)
shear rate (s?¹)
shear stress (Pa)
shear rate (s?¹)
shear stress (Pa)
100
29.9
100
39.1
150
39.0
150
45.9
200
47.0
200
52.1
250
54.3
250
57.9
300
61.1
300
63.5
400
73.7
400
74.0
500
85.2
500
83.8
600
95.9
600
93.2
700
106.0
700
102.1
800
115.6
800
110.8
*Determine and tabulate the viscosity corresponding to each shear rate.
*Plot the flow curves for the two data sets as $\sigma$ versus $\dot{\gamma}$ and $\eta$ versus $\dot{\gamma}$.
*Fit an appropriate constitutive model to each data set and justify your choice (e.g.
Newtonian, Hershel-Bulkley, Power law, .. etc.), and determine the corresponding material
functions (e.g. $\mu$, K, n etc..). Comment on the similarity between the two fluids.

polymer Science and Engineering
Polymer A (Guar Gum)
Polymer B (Xanthan gum)
shear rate (s?¹)
shear stress (Pa)
shear rate (s?¹)
shear stress (Pa)
100
29.9
100
39.1
150
39.0
150
45.9
200
47.0
200
52.1
250
54.3
250
57.9
300
61.1
300
63.5
400
73.7
400
74.0
500
85.2
500
83.8
600
95.9
600
93.2
700
106.0
700
102.1
800
115.6
800
110.8
*Determine and tabulate the viscosity corresponding to each shear rate.
*Plot the flow curves for the two data sets as σ versus γ̇ and η versus γ̇.
*Fit an appropriate constitutive model to each data set and justify your choice (e.g.
Newtonian, Hershel-Bulkley, Power law, .. etc.), and determine the corresponding material
functions (e.g. μ, K, n etc..). Comment on the similarity between the two fluids.

Added by Jose Carlos V.

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