Analysis of Power Input of an In-Line Rotor-Stator Mixer for Viscoplastic Fluids
Abstract
:1. Introduction
2. Material and Methods
2.1. Theory
2.2. Experiment
2.3. Simulations
3. Results and Discussions
4. Conclusions
Author Contributions
Funding
Conflicts of Interest
Nomenclature
Power coefficient (-) | |
Clearance in the axial direction (m) | |
Clearance in radial direction | |
Diameter of the rotor (m) | |
Consistency (Pa· sn) | |
k | Flow power constant |
Metzner-Otto coefficient (-) | |
Flow index (-) | |
Rotational speed (1/rev) | |
Power (W) | |
r | Radius (m) |
R | Radius of the rotor (m) |
Density (kg/m3) | |
Shear rate (1/s) | |
Dimensionless shear rate | |
Effective shear rate, given in Equation (2) | |
Viscosity (Pa·s) | |
Apparent viscosity (Pa·s) | |
Yield stress (Pa) | |
Bingham number for Bingham model (-) | |
Bingham number for Herschel–Bulkley model (-) | |
Flow number (-) | |
Po | Power number (-) |
Shear power number (-) | |
Yield power number (-) | |
Re | Reynolds number (-) |
Reynolds number defined by Metzner and Otto (-) | |
Reynolds number defined by Rieger and Novak (-) |
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Rheological Model | Apparent Viscosity |
---|---|
Power-law model | |
Bingham model | |
Herschel–Bulkley |
3 | 150 | 266 | 178.3 | 88.2 | 0.33 | 250.8 | 166.5 | 84.3 | 0.34 |
3 | 300 | 70.4 | 43.3 | 27.4 | 0.39 | 67.5 | 41.1 | 26.4 | 0.39 |
3 | 500 | 26.7 | 15.2 | 11.5 | 0.43 | 26.5 | 15.1 | 11.5 | 0.43 |
2 | 500 | 26.9 | 14.9 | 12.0 | 0.45 | 27.6 | 14.9 | 12.0 | 0.43 |
1 | 150 | 266.78 | 171.1 | 95.6 | 0.36 | 262.6 | 168.1 | 94.5 | 0.36 |
1 | 300 | 71.5 | 41.7 | 30.5 | 0.41 | 71.6 | 41.8 | 29.8 | 0.42 |
1 | 500 | 27.3 | 14.7 | 12.5 | 0.46 | 28.0 | 15.2 | 12.8 | 0.46 |
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Ayas, M.; Skocilas, J.; Jirout, T. Analysis of Power Input of an In-Line Rotor-Stator Mixer for Viscoplastic Fluids. Processes 2020, 8, 916. https://doi.org/10.3390/pr8080916
Ayas M, Skocilas J, Jirout T. Analysis of Power Input of an In-Line Rotor-Stator Mixer for Viscoplastic Fluids. Processes. 2020; 8(8):916. https://doi.org/10.3390/pr8080916
Chicago/Turabian StyleAyas, Mehmet, Jan Skocilas, and Tomas Jirout. 2020. "Analysis of Power Input of an In-Line Rotor-Stator Mixer for Viscoplastic Fluids" Processes 8, no. 8: 916. https://doi.org/10.3390/pr8080916