TECHNICAL MECHANICS
ISSN (Print): 1561-9184, ISSN (Online): 2616-6380

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UDC 517.9, 620.3

Technical mechanics, 2022, 3, 99 - 107

Mathematical model of heat mass exchange in a channel with a nanofluid un-der nonuniform heating by a concentrated heat flux

DOI: https://doi.org/10.15407/itm2022.03.099

A. H. Borysenko, L. I. Knysh

A. H. Borysenko
Oles Honchar Dnipro National University

L. I. Knysh
Oles Honchar Dnipro National University

      This work is aimed at determining the expediency of using a nanofliud (a special suspension with nanoparticles) as a heat transfer agent for a parabolic trough solar plant. Adding nanoparticles to a base heat transfer agent intensifies convective heat exchange inside the channel, thus increasing the total heat efficiency of the receiver system. A refined nonlinear 3D mathematical model was developed to study heat-and-mass transfer in the receiver system of a parabolic trough solar plant that consist of a concentrator and a tube heat receiver with a nanofluid. In the mathematical model, the values of the nonuniform heat flux on the tube heat receiver surface are found by approximating numerical data obtained by the Monte Carlo method. This simplifies the classical coupled deterministic-statistical mathematical model and allows one to obtain a purely deterministic model solved by the finite volume method. The model also accounts for the thermal conductivity of the heat receiver wall, the actual ambient conditions, and the heat loss from the heat receiver surface. A numerical algorithm was developed to conduct numerical parametric studies on determining the temperature fields of Syltherm800/Al2O3 nanofluid heat transfer agent. This nanofluid is prepared from the traditional heat transfer agent of parabolic trough solar plants – Syltherm800 silicone oil – by adding aluminum oxide nanoparticles thereto. The numerical studies were conducted both for pure Syltherm800 oil and for Syltherm800/Al2O3 nanofluid with an Al2O3 nanoparticle concentration of 3, 5, and 8 per cent. This study is the first to find that the use of a nanofluid as a heat transfer agent for a parabolic trough solar plant produces a positive effect only in the case of the laminar flow of a nanofluid heat transfer agent with a high nanoparticle concentration. A verification of the obtained numerical data showed that they are in satisfactory agreement with experimental ones.
     

mathematical model, parabolic trough solar plant, heat transfer agent, nanofluid, numerical study

1. Borysenko A.H., Knysh L.I. Simulation of heat exchange in solar thermodynamic systems with a nanofluid heat transfer agent. Problems of Applied Mathematics and Mathematical Simulation. Dnipro, 2021. V. 21. Pp. 16-25. (in Ukrainian).

2. Mwesigye A., Huan Z., Meyer Josua P. Thermal performance and entropy generation analysis of a high concentration ratio parabolic trough solar collector with Cu-Therminol® VP-1 nanofluid. Energy Conversion and Management. 2016. V. 120. Pp. 449 - 465. https://doi.org/10.1016/j.enconman.2016.04.106

3. Mwesigye A., Huan Z., Meyer Josua P. Thermodynamic optimization of the performance of a parabolic trough receiver using synthetic oil-Al2O3 nanofluid. Applied Energy. 2015. V.156. Pp. 398 - 412. https://doi.org/10.1016/j.apenergy.2015.07.035

4. Knysh L.I. Experimental studies of the viscosity of new types of heat transfer agents for solar thermodynamic systems. Renewable Power Generation and Power Efficiency in the XXIth Century: abstracts of the international scientific and practical conference. Kyiv, May 14-15, 2020. Kyiv, 2020. Pp. 355-358. (in Ukrainian.)

5. Hachicha A.A., Said Z., Rahman S.M.A, Al-Sarairah E. On the thermal and thermodynamic analysis of parabolic trough collector technology using industrial-grade MWCNT based nanofluid. Renewable Energy. 2020. V. 161. Pp.1303 -1317. https://doi.org/10.1016/j.renene.2020.07.096

6. Knysh L.I. Numerical simulation of radiation heat exchange in the solar radiation concentration systems "cylindrical parabolic concentrator - tube heat receiver". Vidnovluvana Energetika. 2012. V. 30. No. 3. Pp. 26 - 32. (in Russian).

7. Knysh L. Comprehensive mathematical model and efficient numerical analysis of the design parameters of the parabolic trough receiver. International Journal of Thermal Sciences. 2021. V. 162. 106777. https://doi.org/10.1016/j.ijthermalsci.2020.106777

8. Dudley V., Kolb G., Sloan M., D. Kearney D. SEGS LS2 Solar Collector Test Results. Report of Sandia National Laboratories. USA. 1994. 140 pp. https://doi.org/10.2172/70756

9. Knysh L. Consideration of the impact of the environmental conditions when designing heat-receiving systems of the solar cylindrical parabolic modules. Applied Solar Energy. 2018. V. 54. Pp.189 - 195. https://doi.org/10.3103/S0003701X18030076

10. Demidovich B. P., Maron I. A. Foundations of Computational Mathematics. Lan Publishers, 2011. 672 pp. (in Russian).

11. Draper N., Smith H. Applied Regression Analysis: Wiley, 2014. 1533 pp.

12. Patankar S. V. Numerical Heat Transfer & Fluid Flow: Taylor & Francis, 1984, 214 pp.

13. Burden R. L., Faires J. D. Numerical Analysis. Boston: Brooks/Cole, 2010. 895 pp.

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