Submitted:
14 April 2025
Posted:
14 April 2025
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Abstract
Keywords:
1. Introduction
2. Materials and Methods
2.1. Structure of the Solar System for Wool Washing Process
2.2. Heating System Design
2.3. Thermodynamic Properties of Used Oils
| Oils | Thermia B | Heat transfer oil 32 | Biphasic oil | Therminol vp1 | |
|---|---|---|---|---|---|
| Density (kg/m3) | 805 | 817 | 881.68 | 999 | |
| Specific heat capacity (kJ/kg.k) | 2.400 | 2.3 | 1.711 | 1.775 | |
| Thermal conductivity (W/m.k) | 0.129 | 0.11 | 0.1237 | 0.1277 | |
| Kinematic viscosity (mm2/s) | 5.1 | 5 | 3.86 | 0.986 | |
| Initial boiling point (°C) | 350 | 210 | 385 | 257 | |
3. Meshing and Mathematical Modeling
- Continuity equation [21]:
- Turbulent kinetic energy (Kt) [21]:
- Turbulent kinetic energy dissipation (ε) [21]:
- The volume V of a rectangular pool is given by:
- The energy required to heat the water:
- Power supplied by solar concentrators:
- Thermal power transferred to the oil:
4. Results and Discussion
4.1. The Effect of Water Pool Design on Temperature
4.2. The Temperature of Different Oils Inside Copper Tubes
4.3. Influence of Synthetic Oil Type on Water Temperature
4.4. The Effect of Oil Velocity on Heat Exchange
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Nomenclature
| Instant fluctuation of velocity in x direction (m/s). | |
| Generation of turbulent kinetic energy due to the buoyancy force. | |
| Generation of the turbulent kinetic energy. | |
| Fluctuation of temperature (K). | |
| The mean temperature (K). | |
| and are coefficients | |
| Specific heat (J/kg.K). | |
| and | Turbulent Prandtl number. |
| Dissipation of the kinetic energy. | |
| D | Height (cm). |
| ɛt | Dissipation of the turbulent kinetic energy. |
| r | Diameter. |
| i and j | ith and jth elements. |
| kt | Turbulent kinetic energy. |
| L | Length (m). |
| T | Temperature of fluid (K) |
| u | Inlet velocity (m/s) |
| Gravity (m/s2) | |
| Kinetic energy. | |
| Pressure (Pa) | |
| Total. | |
| System coordinate (i= x, y, z- j=x, y, z). | |
| Viscosity (kg/m s) | |
| h | Convective Transfer coefficient |
| Q | The convective heat flux |
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