Numerical Turbulent Flow Analysis through a Rotational Heat Recovery System
Abstract
:1. Introduction
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- The global carbon footprint mitigation of numerous human activities [1].
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2. Materials and Methods
2.1. Numerical Strategy
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- A derived RANS approach based on a second-order model, taking into account the curve wall effect [22];
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2.2. Meshes Parameters
2.3. Boundary Conditions
3. Numerical Validation
4. Results and Discussion
4.1. Mean Flow Fields
4.2. Reynolds Stress Tensor
4.3. Boundary Layer Properties
4.4. Energy Cascade in the Near-Wall Region
4.5. Turbulent Structures
4.5.1. Q-Criteria
4.5.2. Vorticity
5. Conclusions
- Streamwise components of the velocity exhibit a Blasius “type“ flow profile, while the spanwise components are characterized by three different regions; the inner boundary layer, the central region, and the external boundary layer.
- The distribution of the Reynolds stress tensor is composed of two main normal components in the streamwise and the spanwise directions, the radial one being slightly less important. The crossed components are negligible compared to the normal ones. Whatever the components, the more elevated values are located in the near-wall location where the turbulence fluctuating rates are the more pronounced.
- The fluctuating rate of the turbulence is much more important in the axial direction than the two other directions for the RB and RC cases, while in the RA case, its contribution is similar to the two others.
- A wall model solving the overall boundary layer is used in the LES algorithm resulting in the logarithmic profiles. The wall law is verified in the viscous sublayer, while the profile in the transient region does not fit with the von Kármán constants established for pipe flow. The thickness of the boundary layer is reduced as the rotational velocity of the inner cylinder is raised compared to the axial flow rate.
- Spectral analysis was applied to the fluctuating streamwise velocity in the near-wall region. Turbulence spectra are observed in the frequency domain with three distinct areas of production, inertia, and dissipative zones. The inertia zone is characterized by a strong anisotropy far from the −5/3 slope.
- The turbulence scales were considered by using the Q-criterion and the vorticity in the near-wall region. The flow anisotropy is confirmed by the helix shape of the vortex flow structures. The angle of tilt of the structures is progressively reduced as the axial flow rates are raised at the inner and outer cylinders.
- The skin-friction coefficients were assessed, showing a large amplitude imputed to the vortex flow organization. A comparison with Couette–Taylor flow results is provided, which explains the nature of the amplitude linked to the ejection of the fluid between the vortex cells toward the bulk region. The averaged and fluctuating values of the skin-friction are reduced as the axial flow rates increase; damping the counter-rotating vortex effect.
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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A | B | C | |
---|---|---|---|
[tr.min−1] | | ||
| |||
[m3.h−1] | 31.4 | 94.3 | 188.6 |
1462 | 4388 | 8776 | |
5.12 | 1.71 | 0.85 |
[23] | [24] | A | B | C | |
---|---|---|---|---|---|
η | 0.50 | 0.89 | 0.809 | 0.809 | 0.809 |
0.21–0.86 | 1.49–6.71 | 5.12 | 1.71 | 0.85 | |
0.27–0.35 | 0.47–0.86 | 1.23 | 1.24 | 1.24 | |
8.01–10.40 | 94.76–44.45 | 12.13 | 12.15 | 12.18 | |
13.86–15.80 | 96.05–45.27 | 15.21 | 14.98 | 15.01 | |
9.93–22.95 | 26.95–48.82 | 14.95 | 15.28 | 15.32 | |
(65, 64, 128) | (65, 144, 130)–(91, 128, 182) | (123, 672, 200) | (123, 672, 200) | (123, 672, 200) | |
(s) | - | - | |||
- | - | 0.20 | 0.21 | 0.27 |
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Piton, M.; Huchet, F.; Cazacliu, B.; Le Corre, O. Numerical Turbulent Flow Analysis through a Rotational Heat Recovery System. Energies 2022, 15, 6792. https://doi.org/10.3390/en15186792
Piton M, Huchet F, Cazacliu B, Le Corre O. Numerical Turbulent Flow Analysis through a Rotational Heat Recovery System. Energies. 2022; 15(18):6792. https://doi.org/10.3390/en15186792
Chicago/Turabian StylePiton, Maxime, Florian Huchet, Bogdan Cazacliu, and Olivier Le Corre. 2022. "Numerical Turbulent Flow Analysis through a Rotational Heat Recovery System" Energies 15, no. 18: 6792. https://doi.org/10.3390/en15186792