Numerical Investigation of the Electro-Thermo Convection in an Inclined Cavity Filled with a Dielectric Fluid
Abstract
:1. Introduction
2. Physical Model and Governing Equations
3. Numerical Method
4. Results and Discussion
5. Conclusions
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- The flow’s behavior can be significantly impacted by the inclination of the cavity. By increasing this angle, a shift from a unicellular to a bicellular regime was detected.
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- At high electric and thermal fields, when the angle α ∈ [0, 40°], increasing the tilt angle results in a 5% improvement in heat transfer. Above this angular range, an oscillation regime could be developed.
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- Local Nusselt numbers show that heat exchange occurs mainly in the lower section of the heated wall. A reduction in the convective heat transfer of up to 45% can be recorded when the angle varies from 0 to 90 degrees.
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- Increasing the electrical Rayleigh number (up to 800) and the thermal Rayleigh number (to 250,000) results in a respective improvement of 61% and 181% in heat transfer.
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- For high electrical Rayleigh values, the dominant electrical forces negate the impact of cavity tilt on heat transfer.
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- A multiparametric correlation was suggested to estimate the mean Nusselt number, based on the tilt angle, and both thermal and electrical Rayleigh numbers.
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
Nomenclature
a | Thermal diffusivity (m2·s−1) |
C | Dimensionless number of the injection strength |
Electric field (V·cm−1) | |
Acceleration of gravity (m·s−2) | |
K | Ionic mobility (m2·V−1·s−1) |
L | Enclosure width (m) |
M | Dimensionless number which characterizes EHD properties of the liquid |
Pr | Prandlt number |
q | Electric charge density (C·m−3) |
Ra | Thermal Rayleigh number |
T | Dimensionless electric Rayleigh number |
t | Time (s) |
Velocity (m·s−1) | |
V | Electric potential (V) |
x,y | Cartesian coordinate (m) |
Greek symbols | |
α | cavity inclination (°) |
β | Coefficient of thermal expansion of fluid (K−1) |
ε | Permittivity of the fluid (F·m−1) |
θ | Dimensionless temperature (K) |
μ | Dynamic viscosity (Pa·s) |
ν | Kinematic viscosity (m2·s−1) |
ρ | Density (kg.m−3) |
ψ | Stream function (m2·s−1) |
ω | Vorticity (s−1) |
Subscript | |
H | Hot |
C | Cold |
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Study Setup | Ra | T | α |
---|---|---|---|
Effect of Tilt angle | 50,000 | 600 | 0–90 |
Effect of Tilt angle for various electric field | 10,000 | 0–800 | |
Effect of Tilt angle for various thermal gradient | 5000–250,000 | 200 |
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Akrour, D.; Elkhazen, M.I.; Hassen, W.; Kriaa, K.; Maatki, C.; Hadrich, B.; Kolsi, L. Numerical Investigation of the Electro-Thermo Convection in an Inclined Cavity Filled with a Dielectric Fluid. Processes 2023, 11, 2506. https://doi.org/10.3390/pr11082506
Akrour D, Elkhazen MI, Hassen W, Kriaa K, Maatki C, Hadrich B, Kolsi L. Numerical Investigation of the Electro-Thermo Convection in an Inclined Cavity Filled with a Dielectric Fluid. Processes. 2023; 11(8):2506. https://doi.org/10.3390/pr11082506
Chicago/Turabian StyleAkrour, Dalila, Mohamed Issam Elkhazen, Walid Hassen, Karim Kriaa, Chemseddine Maatki, Bilel Hadrich, and Lioua Kolsi. 2023. "Numerical Investigation of the Electro-Thermo Convection in an Inclined Cavity Filled with a Dielectric Fluid" Processes 11, no. 8: 2506. https://doi.org/10.3390/pr11082506