A New Rheological Model for Phosphate Slurry Flows
Abstract
:1. Introduction
2. Materials and Methods
2.1. The New Rheological Model
2.2. Numerical Modelling
2.2.1. Governing Equations
2.2.2. Turbulence Equations
3. Results and Discussions
3.1. Rheological Evaluation of the New Model
3.2. Numerical Results
3.2.1. Model Implementation
3.2.2. Two-Phase Pipe Flow
4. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Material | Density | Kinematic Viscosity | Rheological Model |
---|---|---|---|
(kg/m) | (m/s) | ||
Water | 990 | Newtonian | |
Sludge | 1000 | Newtonian | |
non-constant | Herschel–Bulkley, Casson and New Model |
Term | Details |
---|---|
Name of solver | twoLiquidMixingFoam |
Type of solver | Density-based, segregated solver |
Time dependency | Transient |
Pressure-velocity coupling | Pimple |
nCorrectors | 3 |
nNonOrthogonalCorrector | 0 |
Model | Phosphate Slurry Samples | |||||
---|---|---|---|---|---|---|
Parameters | S1 | S2 | S3 | S4 | S5 | S6 |
a [Pa·s] | 0.93 | 0.44 | 0.72 | 0.57 | 1.60 | 1.56 |
[mPa·s] | 16.77 | 18.33 | 23.26 | 23.6 | 27.45 | 30.8 |
b [-] | 0.49 | 0.59 | 0.60 | 0.57 | 0.56 | 0.59 |
[Pa] | 10.20 | 7.51 | 15.38 | 11.03 | 31.16 | 37.39 |
[1/s] | 12.54 | 6.22 | 2.42 | 22.78 | 18.46 | 15.26 |
Parameters | Ranges | Unit |
---|---|---|
Pipe diameter | 0.054–0.9 | m |
Pipe Length | 3.3–50 | m |
Solid concentration by mass | 38–56 | wt% |
Water density | 1000 | kg/m |
Water viscosity | Pa·s | |
Velocity | 2–5 | m/s |
Water Reynolds Number | > | - |
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Ghoudi, Z.; Maazioui, S.; Benkhaldoun, F.; Hajjaji, N. A New Rheological Model for Phosphate Slurry Flows. Fluids 2023, 8, 57. https://doi.org/10.3390/fluids8020057
Ghoudi Z, Maazioui S, Benkhaldoun F, Hajjaji N. A New Rheological Model for Phosphate Slurry Flows. Fluids. 2023; 8(2):57. https://doi.org/10.3390/fluids8020057
Chicago/Turabian StyleGhoudi, Zeineb, Souhail Maazioui, Fayssal Benkhaldoun, and Noureddine Hajjaji. 2023. "A New Rheological Model for Phosphate Slurry Flows" Fluids 8, no. 2: 57. https://doi.org/10.3390/fluids8020057