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Joint Journal of Novel Carbon Resource Sciences and Green Asia Strategy

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Entropy-Heat Transfer Coupling in Vibrational Non-Newtonian Nanofluid Flow with two phase study

Amrita Tripure1, Santosh Kumar Mishra2,*, Amrit Shende1, Pushpendra Singh2
1UTD, Chhattisgarh Swami Vivekanand Technical University, Bhilai, Durg, CG, 491001, India
2Bhilai Institute of Technology, Durg, CG, 491001, India
*Author to whom correspondence should be addressed:
E-mail: san810@gmail.com (SKM)
Received: June 24, 2025 | Revised: November 14, 2025 | Accepted: March 16, 2026 | Published: June 2026
Abstract
This study investigates the coupled effects of mechanical vibration on heat transfer and entropy generation in non-Newtonian nanofluid flow under constant wall temperature conditions. The introduction of vibration promotes radial mixing and temperature uniformity, leading to a marked increase in convective heat transfer. Parametric analysis reveals that amplitude is the most influential factor, followed by frequency, Reynolds number, and nanoparticle concentration. Increasing vibration amplitude consistently enhances the Nusselt number across all Reynolds numbers, with values rising from approximately 38–118 in the static case to 202–224 at 4 mm amplitude and 100 Hz. The frequency effect becomes more prominent at higher amplitudes, with optimal enhancement observed between 25–100 Hz. Entropy-based analysis shows that vibration reduces total irreversibility by mitigating thermal gradients; however, excessive vibration can elevate viscous dissipation, increasing entropy generation. Thus, optimal thermal performance is achieved at moderate amplitudes and relatively high frequencies, balancing enhanced heat transfer with minimized entropy production. Two-phase numerical modeling accurately captures nanoparticle slip, diffusion, and clustering effects, exhibiting better agreement with experimental data than single-phase models. The findings provide valuable insights for the design and optimization of nanofluid-based thermal systems operating under vibrational environments.
Keywords
Entropy Generation; Heat Transfer; Irreversibility; Volume of Fluid (VOF) Method
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  1. 1) J. Fu, X. Miao, Q. Zuo, H. Tang, Y. Li, Y. Zhang, and B. Sunden, "Heat transfer and field synergy characteristics in a rectangular unit channel under mechanical vibration," Int. Commun. Heat Mass Transf., 136 (June) 106176 (2022) doi:10.1016/j.icheatmasstransfer.2022.106176
  2. 2) Y. Zhao, H. Wu, and C. Dang, "Effect of mechanical vibration on heat and mass transfer performance of pool boiling process in porous media: a literature review," Front. Energy Res., 11 (November) 1-18 (2023) doi:10.3389/fenrg.2023.1288515
  3. 3) X. Chen, A. Du, Z. Li, K. Liang, X. Wang, M. Zhang, and Y. Wang, "Heat transfer of single-phase spray cooling on heated vibrating surfaces," Case Stud. Therm. Eng., 50 (September) 103489 (2023) doi:10.1016/j.csite.2023.103489
  4. 4) X. Bin Zhan, Y.W. Zhang, and Y.L. Jiang, "Application of acoustic vibration promotes heat transfer of high-viscosity fluid in a container," Numer. Heat Transf. Part A Appl., 1-18 (n.d.) doi:10.1080/10407782.2023.2290082
  5. 5) X. Zhan, B. Ye, B. Li, and T. Shi, "Continuous conveying and mixing characteristics of high-viscosity materials under acoustic vibration excitation," AIChE J., 70 (6) (2024) doi:10.1002/aic.18406
  6. 6) X. Chen, A. Du, X. Wang, C. Yang, K. Liang, Z. Li, H. Zhou, and M. Zhang, "The effect of vibration on droplet dynamics and heat transfer of spray cooling," Appl. Therm. Eng., 238 122074 (2024) doi:10.1016/j.applthermaleng.2023.122074
  7. 7) Y. Wang, S. Ding, A. Yan, H. Miao, F. Wang, and J. Yuan, "Flow and heat transfer performance analysis of brazed plate heat exchangers under marine vibration conditions," Int. J. Therm. Sci., 205 109270 (2024) doi:10.1016/j.ijthermalsci.2024.109270
  8. 8) Z. Guo, "A review on heat transfer enhancement with nanofluids," J. Enhanc. Heat Transf., 27 (1) 1-70 (2020) doi:10.1615/JEnhHeatTransf.2019031575
  9. 9) A.H. Alami, M. Ramadan, M. Tawalbeh, S. Haridy, S. Al Abdulla, H. Aljaghoub, M. Ayoub, A. Alashkar, M.A. Abdelkareem, and A.G. Olabi, "A critical insight on nanofluids for heat transfer enhancement," Sci. Rep., 13 (1) 1-14 (2023) doi:10.1038/s41598-023-42489-0
  10. 10) S.K. Mishra, A. Tripure, A. Mishra, and P. Singh, "Effects of vibrational flow on nanofluid flow behavior under different temperature boundary conditions," Numer. Heat Transf. Part A Appl., 86 (17) 6206-6222 (2025) doi:10.1080/10407782.2024.2340071
  11. 11) M.G.P. Kumar, B.G. Rao, B. Sreenivasulu, and S.S. Arasavelli, "Effect of vibration on heat transfer to laminar non-newtonian nanofluid flowing through a circular pipe: a numerical analysis," Numer. Heat Transf. Part A Appl., 82 (11) 683-699 (2022) doi:10.1080/10407782.2022.2083862
  12. 12) J.-R. Yuan, and H. Ding, "Three-dimensional dynamic model of the curved pipe based on the absolute nodal coordinate formulation," Mech. Syst. Signal Process., 194 110275 (2023) doi:10.1016/j.ymssp.2023.110275
  13. 13) A. Bejan, "Second law analysis in heat transfer," Energy, 5 (8) 720-732 (1980) doi:10.1016/0360-5442(80)90091-2
  14. 14) R. Prattipati, V.K. Narla, and S. Pendyala, "Effect of viscosity on entropy generation for laminar flow in helical pipes," J. Therm. Eng., 7 (5) 1100-1109 (2021) doi:10.18186/thermal.977960
  15. 15) A. Kaood, A. Aboulmagd, and A. ElDegwy, "Entropy generation analysis of turbulent flow in conical tubes with dimples: a numerical study," J. Therm. Anal. Calorim., 148 (12) 5667-5685 (2023) doi:10.1007/s10973-023-12127-y
  16. 16) S.K. Mishra, A. Mishra, P. Singh, and M. Dubey, "Heat transfer and entropy generation in vibrational flow: newtonian vs. inelastic non-newtonian fluid," J. Appl. Fluid Mech., 17 (11) 2349-2360 (2024) doi:10.47176/jafm.17.11.2699
  17. 17) M. Sandhya, D. Ramasamy, K. Sudhakar, K. Kadirgama, and W.S.W. Harun, "Ultrasonication an intensifying tool for preparation of stable nanofluids and study the time influence on distinct properties of graphene nanofluids – a systematic overview," Ultrason. Sonochem., 73 105479 (2021) doi:10.1016/j.ultsonch.2021.105479
  18. 18) M. Vahabzadeh Bozorg, and M. Siavashi, "Two-phase mixed convection heat transfer and entropy generation analysis of a non-newtonian nanofluid inside a cavity with internal rotating heater and cooler," Int. J. Mech. Sci., 151 842-857 (2019) doi:10.1016/j.ijmecsci.2018.12.036
  19. 19) O. Bafakeeh, A. Raza, S. Khan, M. Khan, A. Nasr, N. ben khedher, and S. Eldin, "Physical interpretation of nanofluid (copper oxide and silver) with slip and mixed convection effects: applications of fractional derivatives," Appl. Sci., 12 10860 (2022) doi:10.3390/app122110860
  20. 20) A. Abbasi, S.U. Khan, W. Farooq, F.M. Mughal, M. Ijaz Khan, B.C. Prasannakumara, M.T. El-Wakad, K. Guedri, and A.M. Galal, "Peristaltic flow of chemically reactive ellis fluid through an asymmetric channel: heat and mass transfer analysis," Ain Shams Eng. J., 14 (1) 101832 (2023) doi:10.1016/j.asej.2022.101832
  21. 21) Y.-X. Li, U.F. Alqsair, K. Ramesh, S.U. Khan, and M.I. Khan, "Nonlinear heat source/sink and activation energy assessment in double diffusion flow of micropolar (non-newtonian) nanofluid with convective conditions," Arab. J. Sci. Eng., 47 (1) 859-866 (2022) doi:10.1007/s13369-021-05692-7
  22. 22) V.V.L. Deepthi, M.M.A. Lashin, N. Ravi Kumar, K. Raghunath, F. Ali, M. Oreijah, K. Guedri, E.S.M. Tag-ElDin, M.I. Khan, and A.M. Galal, "Recent development of heat and mass transport in the presence of hall, ion slip and thermo diffusion in radiative second grade material: application of micromachines," Micromachines, 13 (10) (2022) doi:10.3390/mi13101566
  23. 23) Y. Khanjari, F. Pourfayaz, and A.B. Kasaeian, "Numerical investigation on using of nanofluid in a water-cooled photovoltaic thermal system," Energy Convers. Manag., 122 263-278 (2016) doi:10.1016/j.enconman.2016.05.083
  24. 24) Y. Khanjari, A.B. Kasaeian, and F. Pourfayaz, "Evaluating the environmental parameters affecting the performance of photovoltaic thermal system using nanofluid," Appl. Therm. Eng., 115 178-187 (2017) doi:10.1016/j.applthermaleng.2016.12.104
  25. 25) A.H.A. Al-Waeli, M.T. Chaichan, H.A. Kazem, and K. Sopian, "Evaluation and analysis of nanofluid and surfactant impact on photovoltaic-thermal systems," Case Stud. Therm. Eng., 13 100392 (2019) doi:10.1016/j.csite.2019.100392
  26. 26) M.O. Lari, and A.Z. Sahin, "Design, performance and economic analysis of a nanofluid-based photovoltaic/thermal system for residential applications," Energy Convers. Manag., 149 467-484 (2017) doi:10.1016/j.enconman.2017.07.045
  27. 27) A.H.A. Al-Waeli, H.A. Kazem, M.T. Chaichan, and K. Sopian, "Experimental investigation of using nano-pcm/nanofluid on a photovoltaic thermal system (pvt): technical and economic study," Therm. Sci. Eng. Prog., 11 213-230 (2019) doi:10.1016/j.tsep.2019.04.002
  28. 28) M. Hosseinzadeh, M. Sardarabadi, and M. Passandideh-Fard, "Energy and exergy analysis of nanofluid based photovoltaic thermal system integrated with phase change material," Energy, 147 636-647 (2018) doi:10.1016/j.energy.2018.01.073
  29. 29) M.A. Isah, A. Yokus, and D. Kaya, "BILINEAR neural network method for obtaining the exact analytical solutions to nonlinear evolution equations and its application to kdv equation," Khayyam J. Math., 10 (2) 228-248 (2024) doi:10.22034/kjm.2024.396918.2865
  30. 30) R.F. Zhang, and M.C. Li, "Bilinear residual network method for solving the exactly explicit solutions of nonlinear evolution equations," Nonlinear Dyn., 108 (1) 521-531 (2022) doi:10.1007/s11071-022-07207-x
  31. 31) J.-G. Liu, W.-H. Zhu, Y.-K. Wu, and G.-H. Jin, "Application of multivariate bilinear neural network method to fractional partial differential equations," Results Phys., 47 106341 (2023) doi:10.1016/j.rinp.2023.106341
  32. 32) V. Gnielinski, "New equations for heat and mass transfer in the turbulent flow in pipes and channels," NASA STI/Recon Tech. Rep. A, 41 (1) 8-16 (1975)
  33. 33) R.K. Shah, and A.L. London, "Laminar Flow Forced Convection in Ducts: A Source Book for Compact Heat Exchanger Analytical Data," Academic Press, 1978
  34. 34) Y. Yang, H. Chen, X. Zou, X.L. Shi, W. Di Liu, L. Feng, G. Suo, X. Hou, X. Ye, L. Zhang, C. Sun, H. Li, C. Wang, and Z.G. Chen, "Flexible carbon-fiber/semimetal bi nanosheet arrays as separable and recyclable plasmonic photocatalysts and photoelectrocatalysts," ACS Appl. Mater. Interfaces, 12 (22) 24845-24854 (2020) doi:10.1021/acsami.0c05695
  35. 35) S.K. Mishra, A. Shende, A. Mishra, and P. Singh, "Exploring heat transfer augmentation and entropy generation in nanofluid flow induced by vibration: influence of velocity and rheological properties," Numer. Heat Transf. Part A Appl., 0 (0) 1-18 (2024) doi:10.1080/10407782.2024.2381619