You have obtained data for a viscous fluid in a cup and bob viscometer that has the
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You have obtained data for a viscous fluid in a cup and bob viscometer that has the following dimensions: cup radius $=2 \mathrm{~cm}$, bob radius $=1.5 \mathrm{~cm}$, bob length $=3 \mathrm{~cm}$. The data are tabulated in the following, where $n^{\prime}$ is the point slope of the $\log T$ versus $\log N$ curve:
$\boldsymbol{N}(\mathbf{r p m})$ | $\boldsymbol{T}(\mathbf{d y n} \mathbf{~ c m})$ | $\boldsymbol{n}^{\prime}$ | $\boldsymbol{N}(\mathbf{r p m})$ | $\boldsymbol{T}$ (dyn cm) | $\boldsymbol{n}^{\prime}$ |
---|---|---|---|---|---|
1 | $1.13 \times 10^{4}$ | 0.01 | 100 | $1.25 \times 10^{4}$ | 0.6 |
2 | $1.13 \times 10^{4}$ | 0.02 | 200 | $1.42 \times 10^{4}$ | 0.7 |
5 | $1.13 \times 10^{4}$ | 0.05 | 500 | $1.93 \times 10^{4}$ | 0.8 |
10 | $1.13 \times 10^{4}$ | 0.1 | 1000 | $2.73 \times 10^{4}$ | 0.9 |
20 | $1.14 \times 10^{4}$ | 0.2 | 2000 | $4.31 \times 10^{4}$ | 1.0 |
50 | $1.16 \times 10^{4}$ | 0.5 |
(a) Determine the viscosity of the fluid. How would you describe its viscosity?
(b) What kind of viscous model (equation) would be appropriate to describe this fluid?
(c) Use the data to determine the values of the fluid properties that are defined by the model.
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Related Book For
Chemical Engineering Fluid Mechanics
ISBN: 9781498724432
3rd Edition
Authors: Ron Darby, Raj P Chhabra
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