Flow of a Dense Suspension Modeled as a Modified Second Grade Fluid
Abstract
:1. Introduction
2. Governing Equations
2.1. Conservation of Mass
2.2. Conservation of Linear Momentum
2.3. Conservation of Angular Momentum
3. Constitutive Equation for the Stress Tensor
4. Geometry and the Kinematics of the Flow
5. Results and Discussion
5.1. The Effect of the Compacting of the Particles
5.2. Effects of the Normal Stress Coefficients and the (Variable) Viscosity
5.3. Effects of Gravity and the Bulk Volume Fraction
6. Conclusions
Author Contributions
Funding
Conflicts of Interest
References
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Dimensionless Numbers | Studied Value |
---|---|
−0.5, 0.0, 1.0 | |
0, 1, 10 | |
−0.5, −2.0, −10.0 | |
0.0, −0.1, −10 | |
0.5, 0.6, 0.68 | |
0.25, 0.5, 2.5 | |
0.2, 0.35, 0.4, 0.5 | |
1.0 |
0 | 0.6010 | −0.25 | 0.4527 |
1 | 0.6886 | −2.00 | 0.7343 |
10 | 0.7874 | −10.0 | 0.7894 |
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Wu, W.-T.; Aubry, N.; Antaki, J.F.; Massoudi, M. Flow of a Dense Suspension Modeled as a Modified Second Grade Fluid. Fluids 2018, 3, 55. https://doi.org/10.3390/fluids3030055
Wu W-T, Aubry N, Antaki JF, Massoudi M. Flow of a Dense Suspension Modeled as a Modified Second Grade Fluid. Fluids. 2018; 3(3):55. https://doi.org/10.3390/fluids3030055
Chicago/Turabian StyleWu, Wei-Tao, Nadine Aubry, James F. Antaki, and Mehrdad Massoudi. 2018. "Flow of a Dense Suspension Modeled as a Modified Second Grade Fluid" Fluids 3, no. 3: 55. https://doi.org/10.3390/fluids3030055