ISSN (Online): 2812-9709
Vol.4, No.2, 2025: pp.59-72
Total entropy and exergy efficiency of graphene oxide/nanodiamond hybrid nanofluids in a mini heat sink: experimental and particle swarm optimization predictions
Authors:
Received: 29 April 2025
Revised: 7 June 2025
Accepted: 17 June 2025
Published: 30 June 2025
Abstract:
Through the Particle Swarm Optimization (PSO), the thermal entropy, frictional entropy, entropy generation ratio, entropy generation number, and exergy efficiency of reduced graphene oxide/nanodiamond (rGO/ND) hybrid nanofluids flow in a mini-heat sink were predicted after being measured experimentally. A 60:40% (weight percentage) water and ethylene glycol mixture was used as the base fluid in this study. The experiments were conducted under different volume loadings and different Reynolds numbers . Eventually, the thermophysical properties were also estimated. The thermal entropy generation of 2.0% vol. was decreased by 34.87%, and frictional entropy generation and exergy efficiency were raised by 21.30% and 18.10% at a Reynolds number of 4181.24 over the base fluid. The PSO artificial neural network method was used in this study. The PSO predictions data have shown a good acceptance with the experimental values with root-mean-square errors of 0.058262, 4.9088e-05, 0.0034824, 0.015519, and 0.050993, with correlation coefficients of 0.99811, 0.99218, 0.99849, 0.99812, and 0.99571, for thermal entropy, frictional entropy, entropy generation ratio, entropy generation number, and exergy efficiency, respectively. Based on the polynomial regression analysis, new thermal entropy generation, frictional entropy generation, entropy generation number, and exergy efficiency correlations were proposed.
Keywords:
Thermal entropy, Frictional entropy, Particle swarm optimization, Enhancement, Nanofluids
References:
[1] V. Egan, J. Stafford, P. Walsh, E. Walsh, R. Grimes, An experimental study on the performance of miniature heat sinks for forced convection air cooling, 11th Intersociety Conference on Thermal and Thermomechanical Phenomena in Electronic Systems, Orlando, USA, 17 June 2008, 497–509. https://doi.org/10.1109/ITHERM.2008.4544310
[2] M.M. Mohamed, M.A. El-Baky, Air cooling of mini-channel heat sink in electronic devices. Journal of Electronics Cooling and Thermal Control, 3, 2013: 49–57. https://doi.org/10.4236/jectc.2013.32007
[3] X.F. Peng, G.P. Peterson, Convective heat transfer and flow friction for water flow in microchannel structures. International Journal of Heat and Mass Transfer, 39(12), 1996: 2599–2608. https://doi.org/10.1016/0017-9310(95)00327-4
[4] W. Qu, I. Mudawar, Experimental and numerical study of pressure drop and heat transfer in a single-phase micro-channel heat sink. International Journal of Heat and Mass Transfer, 45(12), 2002: 2459–2565. https://doi.org/10.1016/S0017-9310(01)00337-4
[5] J.S. Makam, N.B. Totla, Heat transfer characteristics of water cooled minichannel heat sink using different fluid flow geometries. IOP Conference Series: Materials Science and Engineering, 998, 2020: 012018. https://doi.org/10.1088/1757-899X/998/1/012018
[6] S.E. Ghasemi, A.A. Ranjbar, S.M.J. Hoseini, Cooling performance analysis of water-cooled heat sinks with circular and rectangular minichannels using finite volume method. Iranian Journal of Chemistry and Chemical Engineering, 37(2), 2018: 231–239. https://doi.org/10.30492/ijcce.2018.26848
[7] S.U.S. Choi, J.A. Eastman, Enhancing thermal conductivity of fluids with nanoparticles. ASME International Mechanical Engineering Congress & Exposition, 12–17 November 1995, San Francisco, USA, 99–103.
[8] S. Mukherjee, S. Wciślik, V. Khadanga, P.C. Mishra, Influence of nanofluids on the thermal performance and entropy generation of varied geometry microchannel heat sink. Case Studies in Thermal Engineering, 49, 2023: 103241.
https://doi.org/10.1016/j.csite.2023.103241
[9] S.J. Thrush, A.S. Comfort, J.S. Dusenbury, Y. Xiong, H. Qu, X. Han, J.D. Schall, G.C. Barber, X. Wang, Stability, thermal conductivity, viscosity, and tribological characterization of zirconia nanofluids as a function of nanoparticle concentration. Tribology Transactions, 63(1), 2019: 68–76. https://doi.org/10.1080/10402004.2019.1660017
[10] B. Barbés, R. Páramo, E. Blanco, C. Casanova, Thermal conductivity and specific heat capacity measurements of CuO nanofluids. Journal of Thermal Analysis and Calorimetry, 115, 2014: 1883–1891. https://doi.org/10.1007/s10973-013-3518-0
[11] R. Agarwal, K. Verma, N.K. Agrawal, R. Singh, Sensitivity of thermal conductivity for Al₂O₃ nanofluids. Experimental Thermal and Fluid Science, 80, 2017: 19–26. https://doi.org/10.1016/j.expthermflusci.2016.08.007
[12] R. Chein, G. Huang, Analysis of microchannel heat sink performance using nanofluids. Applied Thermal Engineering, 25, 2005: 3104–3114. https://doi.org/10.1016/j.applthermaleng.2005.03.008
[13] J. Lee, I. Mudawar, Assessment of the effectiveness of nanofluids for single-phase and two-phase heat transfer in micro-channels. International Journal of Heat and Mass Transfer, 50(3–4), 2007: 452–463.
https://doi.org/10.1016/j.ijheatmasstransfer.2006.08.001
[14] M.A. Sheik, N. Beemkumar, A. Gupta, A.A. Gill, Y. Devarajan, R. Jayabal, G.M. Lionus Leo, Study the effect of silicon nanofluid on the heat transfer enhancement of triangular-shaped open microchannel heat sinks. Silicon, 16, 2024: 277–293. https://doi.org/10.1007/s12633-023-02663-5
[15] H.R. Seyf, S. Keshavarz Mohammadian, Thermal and hydraulic performance of counterflow microchannel heat exchangers with and without nanofluids. ASME Journal of Heat and Mass Transfer, 133(8), 2011: 081801.
https://doi.org/10.1115/1.4003553
[16] N.A.C. Sidik, Convective heat transfer and flow enhancement using nanofluids in divergent-convergent minichannel heatsink. AIP Conference Proceedings, 2689, 2023: 030012. https://doi.org/10.1063/5.0117544
[17] P. Selvakumar, S. Suresh, Convective performance of CuO/water nanofluid in an electronic heat sink. Experimental Thermal and Fluid Science, 40, 2012: 57–63. https://doi.org/10.1016/j.expthermflusci.2012.01.033
[18] S.A. Fazeli, S.M.H. Hashemi, H. Zirakzadeh, M. Ashjaee, Experimental and numerical investigation of heat transfer, in a miniature heat sink utilizing silica nanofluid. Superlattices and Microstructure, 51(2), 2012: 247–264.
https://doi.org/10.1016/j.spmi.2011.11.017
[19] C.T. Nguyen, G. Roy, C. Gauthier, N. Galanis, Heat transfer enhancement using Al₂O₃-water nanofluids for an electronic liquid cooling system. Applied Thermal Engineering, 27(8–9), 2007: 1501–1506.
https://doi.org/10.1016/j.applthermaleng.2006.09.028
[20] C.J. Ho, S.-T. Hsu, T.-F. Yang, B.-L. Chen, S. Rashidi, W.-M. Yan, Cooling performance of mini-channel heat sink with water-based nano-PCM emulsion–An experimental study. International Journal of Thermal Sciences, 164, 2021: 106903. https://doi.org/10.1016/j.ijthermalsci.2021.106903
[21] C.J. Ho, W.C. Chen, An experimental study on thermal performance of Al₂O₃/water nanofluid in a minichannel heat sink. Applied Thermal Engineering, 50(1), 2013: 516–522. https://doi.org/10.101/10.1016/j.applthermaleng.2012.07.037
[22] A.K. Patel, S.P.S. Rajput, R. Kumar, A. Sharma, A.P. Singh, M.K. Sharma, P. Goyal, P. Singhal, Design and heat transfer performance analysis of mini-channel heat sink with water, EG and EG20 based nanofluids—computational approach. International Journal on Interactive Design and Manufacturing, 18(33), 2024: 2119–2130. https://doi.org/10.1007/s12008-022-00951-9
[23] Z.H. Saadoon, F.H. Ali, H.K. Hamzah, A.M. Abed, M. Hatami, Improving the performance of mini-channel heat sink by using wavy channel and different types of nanofluids. Scientific Reports, 12, 2022: 9402. https://doi.org/10.1038/s41598-022-13519-0
[24] L.S. Sundar, M.K. Singh, A.C.M. Sousa, Enhanced heat transfer and friction factor of MWCNT–Fe₃O₄/water hybrid nanofluids. International Communications in Heat and Mass Transfer, 52, 2014: 73–83.
https://doi.org/10.1016/j.icheatmasstransfer.2014.01.012
[25] L.S. Sundar, G.O. Irurueta, E.V. Ramana, M.K. Singh, A.C.M. Sousa, Thermal conductivity and viscosity of hybrid nanofluids prepared with magnetic nanodiamond–cobalt oxide (ND–Co₃O₄) nanocomposite. Case Studies in Thermal Engineering, 7, 2016: 66–77. https://doi.org/10.1016/j.csite.2016.03.001
[26] L.S. Sundar, E.V. Ramana, M.P.F. Graça, M.K. Singh, A.C.M. Sousa, Nanodiamond–Fe₃O₄ nanofluids: Preparation and measurement of viscosity, electrical and thermal conductivities. International Communications in Heat and Mass Transfer, 73, 2016: 62–74. https://doi.org/10.1016/j.icheatmasstransfer.2016.02.013
[27] I. Wole-Osho, E.C. Okonkwo, H. Adun, D. Kavaz, S. Abbasoglu, An intelligent approach to predicting the effect of nanoparticle mixture ratio, concentration and temperature on thermal conductivity of hybrid nanofluids. Journal of Thermal Analysis and Calorimetry, 144, 2021: 671–688. https://doi.org/10.1007/s10973-020-09594-y
[28] A.S. Dalkılıç, G. Yalçın, B.O. Küçükyıldırım, S. Öztuna, A.A. Eker, C. Jumpholkul, S. Nakkaew, S. Wongwises, Experimental study on the thermal conductivity of water-based CNT–SiO₂ hybrid nanofluids. International Communications in Heat and Mass Transfer, 99, 2018: 18–25. https://doi.org/10.1016/j.icheatmasstransfer.2018.10.002
[29] Ç. Yıldız, M. Arıcı, H. Karabay, Comparison of a theoretical and experimental thermal conductivity model on the heat transfer performance of Al₂O₃–SiO₂/water hybrid nanofluid. International Journal of Heat and Mass Transfer, 140, 2019: 598–605. https://doi.org/10.1016/j.ijheatmasstransfer.2019.06.028
[30] G.M. Moldoveanu, G. Huminic, A.A. Minea, A. Huminic, Experimental study on thermal conductivity of stabilized Al₂O₃ and SiO₂ nanofluids and their hybrid. International Journal of Heat and Mass Transfer, 127(Part A), 2018: 450–457.
https://doi.org/10.1016/j.ijheatmasstransfer.2018.07.024
[31] G. Sriharan, S. Harikrishnan, H.F. Oztop, A review on thermophysical properties, preparation, and heat transfer enhancement of conventional and hybrid nanofluids utilized in micro and mini channel heat sink. Sustainable Energy Technologies and Assessments, 58, 2023: 103327. https://doi.org/10.1016/j.seta.2023.103327
[32] T. Baig, H.A. Tariq, M. Anwar, A.A. Shoukat, H.M. Ali, M.M. Janjua, Hydrothermal performance of mini-channel heat sink using nanofluids/hybrid nanofluids: A numerical study. Energy Sources, Part A: Recovery, Utilization, and Environmental Effects, 46(1), 2024: 4628–4646.
https://doi.org/10.1080/15567036.2024.2323155
[33] G. Sriharan, S. Harikrishnan, H.M. Ali, Enhanced heat transfer characteristics of the mini hexagonal tube heat sink using hybrid nanofluids. Nanotechnology, 33, 2022: 475403. https://doi.org/10.1088/1361-6528/ac8995
[34] V. Kumar, J. Sarkar, Numerical and experimental investigations on heat transfer and pressure drop characteristics of Al₂O₃–TiO₂ hybrid nanofluid in minichannel heat sink with different mixture ratio. Powder Technology, 345, 2019: 717–727. https://doi.org/10.1016/j.powtec.2019.01.061
[35] V. Kumar, J. Sarkar, Two-phase numerical simulation of hybrid nanofluid heat transfer in minichannel heat sink and experimental validation. International Communications in Heat and Mass Transfer, 91, 2018: 239–247. https://doi.org/10.1016/j.icheatmasstransfer.2017.12.019
[36] N.I. Zaaba, K.L. Foo, U. Hashim, S.J. Tan, Wei-Wen Liu, C.H. Voon, Synthesis of Graphene Oxide using Modified Hummers Method: Solvent Influence. Procedia Engineering, 184, 2017: 469–477. https://doi.org/10.1016/j.proeng.2017.04.118
[37] L.S. Sundar, Heat transfer, friction factor and exergy efficiency analysis of nanodiamond–Fe₃O₄/water hybrid nanofluids in a tube with twisted tape inserts. Ain Shams Engineering Journal, 14(9), 2023: 102068.
https://doi.org/10.1016/j.asej.2022.102068
[38] M. Rahimi-Gorji, O. Pourmehran, M. Hatami, D.D. Ganji, Statistical optimization of microchannel heat sink (MCHS) geometry cooled by different nanofluids using RSM analysis. The European Physical Journal Plus, 130, 2015: 22. https://doi.org/10.1140/epjp/i2015-15022-8
[39] M.M. Awad, A review of entropy generation in microchannels. Advances in Mechanical Engineering, 7(12), 2015: 1687814015590297. https://doi.org/10.1177/1687814015590297
[40] E. Manay, E.F. Akyürek, B. Sahin, Entropy generation of nanofluid flow in a microchannel heat sink. Results in Physics, 9, 2018: 615–624. https://doi.org/10.1016/j.rinp.2018.03.013
© 2025 by the author. This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0)
![]()
How to Cite
L.S. Sundar, Total Entropy and Exergy Efficiency of Graphene Oxide/Nanodiamond Hybrid Nanofluids in a Mini Heat Sink: Experimental and Particle Swarm Optimization Predictions. Advanced Engineering Letters, 4(2), 2025: 59-72.
https://doi.org/10.46793/adeletters.2025.4.2.2
More Citation Formats
Sundar, L.S. (2025). Total Entropy and Exergy Efficiency of Graphene Oxide/Nanodiamond Hybrid Nanofluids in a Mini Heat Sink: Experimental and Particle Swarm Optimization Predictions. Advanced Engineering Letters, 4(2), 59-72.
https://doi.org/10.46793/adeletters.2025.4.2.2
Sundar, L. Syam. “Total Entropy and Exergy Efficiency of Graphene Oxide/Nanodiamond Hybrid Nanofluids in a Mini Heat Sink: Experimental and Particle Swarm Optimization Predictions.“ Advanced Engineering Letters, vol. 4, no. 2, 2025, pp. 59-72.
https://doi.org/10.46793/adeletters.2025.4.2.2
Sundar, L. Syam. 2025. “Total Entropy and Exergy Efficiency of Graphene Oxide/Nanodiamond Hybrid Nanofluids in a Mini Heat Sink: Experimental and Particle Swarm Optimization Predictions.“ Advanced Engineering Letters, 4 (2): 59-72.
https://doi.org/10.46793/adeletters.2025.4.2.2
Sundar, L.S. (2025). Total Entropy and Exergy Efficiency of Graphene Oxide/Nanodiamond Hybrid Nanofluids in a Mini Heat Sink: Experimental and Particle Swarm Optimization Predictions. Advanced Engineering Letters, 4(2), pp. 59-72.
doi: 10.46793/adeletters.2025.4.2.2.
