NUMERICAL STUDY OF HEAT TRANSFER IN THE RECEIVER CHANNEL OF A PARABOLIC-TROUGH SOLAR SYSTEM WITH NANOFLUID AS HEAT TRANSFER FLUID

Authors

DOI:

https://doi.org/10.32782/mathematical-modelling/2026-9-1-1

Keywords:

solar thermodynamic system, tubular receiver channel, nanofluid, mathematical model, numerical algorithm, finite volume method

Abstract

The paper presents an analysis of heat transfer processes in the heat-receiving system of a parabolic-trough solar thermodynamic plant in which a nanofluid based on Syltherm800 silicone oil with Al2O3 nanoparticles is considered as the heat transfer fluid. The study is motivated by the fact that intensifying convective heat transfer in the receiver tube without significant design modifications can improve both the thermal and the overall energy efficiency of the plant. Physical and mathematical models of energy transport are developed for a fluid flow in a cylindrical channel with due regard for the temperature- and concentration-dependent thermophysical properties of the nanofluid. By approximating experimental data, analytical correlations are obtained for the density, specific heat capacity, and thermal conductivity of the base fluid and the nanofluid as functions of temperature and nanoparticle volume fraction. For the numerical solution, an algorithm based on the finite volume method with an implicit scheme is developed and implemented in an in-house Python code. The calculations account for laminar flow, a quadratic velocity profile, and iterative correction of coefficients at each axial step. A series of numerical experiments is carried out for pure Syltherm800 and for the Syltherm800/Al2O3 nanofluid with nanoparticle volume fractions of 3 %, 5 %, and 8 %. Temperature fields along the channel length and radius, as well as the mass-averaged fluid temperature, are determined. The mathematical model and numerical algorithm are verified by comparison with a test problem admitting an analytical solution, and complete agreement is obtained. It is shown that the addition of Al2O3 nanoparticles to the conventional heat transfer fluid increases the effective thermal conductivity and promotes a higher mass-averaged temperature in the channel, which may intensify convective heat transfer. It is substantiated that, with a rational choice of geometric and thermodynamic parameters, the proposed nanofluid can be regarded as a promising option for improving the efficiency of solar energy conversion systems in commercial solar power plants.

References

Тучинський Б. Г., Кудря С. О., Іванченко І. В., Іванчук В. Ю. Невідворотність переходу України до відновлюваної енергетики. Відновлювальна енергетика. 2020. № 4(63). С. 6–21. DOI: https://doi.org/10.36296/1819-8058.2020.4(63).6-21

Knysh L. I., Gabrinets V. A. The assessment of efficiency PVT-technology in combined solar power plants. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu. 2013. № 2. P. 74–78.

URL: https://www.nvngu.in.ua/index.php/en/archive/on-divisions-of-science/electricalengineering/2114-assessment-of-pvt-technology-efficiency-in-combined-solar-power-plants

Renewable Power Generation Costs in 2018. International Renewable Energy Agency (IRENA), 2019. URL: https://www.irena.org/publications/2019/May/Renewable-power-generation-costs-in-2018

Anoop K., Cox J., Sadr R. Thermal evaluation of nanofluids in heat exchangers. International Communications in Heat and Mass Transfer. 2013. Vol. 49. P. 5–9. DOI: https://doi.org/10.1016/j.icheatmasstransfer.2013.10.002

Mwesigye A., Huan Z., Meyer J. 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. Vol. 120. P. 449–465. DOI: https://doi.org/10.1016/j.enconman.2016.04.106.

Allouhi A., Benzakour Amine M., Saidur R., Kousksou T., Jamil A. Energy and exergy analyses of a parabolic trough collector operated with nanofluids for medium and high temperature applications. Energy Conversion and Management. 2018. Vol. 155. P. 201–217. DOI: https://doi.org/10.1016/j.enconman.2017.10.059.

Mwesigye A., Yılmaz İ. H., Meyer J. P. Numerical analysis of the thermal and thermodynamic performance of a parabolic trough solar collector using SWCNTs-Therminol®VP-1 nanofluid. Renewable Energy. 2018. Vol. 119. P. 844–862. DOI: https://doi.org/10.1016/j.renene.2017.10.047

Борисенко А. Г., Книш Л. І. Моделювання теплообміну в сонячних термодинамічних системах з нанорідиною в якості теплоносія. Питання прикладної математики і математичного моделювання. 2021. Вип. 21. С. 16–25. DOI: https://doi.org/10.15421/322102

Bellos E., Tzivanidis C. Parametric investigation of nanofluids utilization in parabolic trough collectors. Thermal Science and Engineering Progress. 2017. Vol. 2. P. 71–79. DOI: https://doi.org/10.1016/j.tsep.2017.05.001

Kaloudis E., Papanicolaou E., Belessiotis V. Numerical simulations of a parabolic trough solar collector with nanofluid using a two-phase model. Renewable Energy. 2016. Vol. 97. P. 218–229. DOI: https://doi.org/10.1016/j.renene.2016.05.046

Syltherm 800. Stabilized Heat Transfer Fluid. The Dow Chemical Company. URL: https://www.dow.com/en-us/pdp.syltherm-800-stabilized-heat-transfer-fluid.39260z.html

Li P., Zhang D., Xie Y. Heat transfer and flow analysis of Al2O3-water nanofluids in microchannel with dimple and protrusion. International Journal of Heat and Mass Transfer. 2014. Vol. 73. P. 456–467. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2014.02.042

Patankar S. V. Numerical Heat Transfer and Fluid Flow. New York : Taylor & Francis, 1980. 214 p. DOI: https://doi.org/10.1201/9781482234213

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

Kasaeian A., Eshghi A. T., Sameti M. A review on the applications of nanofluids in solar energy systems. Renewable and Sustainable Energy Reviews. 2015. Vol. 43. P. 584–598. DOI: https://doi.org/10.1016/j.rser.2014.11.020

Knysh L. I. Verification of the Numerical Algorithm for Parameter Analysis of the Tube Heat Receiver of the Solar Parabolic Trough System. Applied Solar Energy. 2019. Vol. 55, № 5. P. 340–346. DOI: https://doi.org/10.3103/S0003701X19050074

Published

2026-07-01