journal article·2026-03-29Open access

Theoretical analysis for heat and mass transfer in bioconvective ternary hybrid nanofluid flow with entropy optimization

Fazal Haq, Naglaa AbdelAll, Ghada A. Khouqeer, Jihad Younis, Mohammed Sallah

Discover Nano· Volume 21· Issue 1

Abstract

Ternary hybrid nanofluids(THNFs) are a revolutionary advancement in thermal management, offering remarkable thermal conductivity that significantly boosts heat transfer efficiency. THNFs are ideal for cooling systems, solar energy applications, and electronic device regulation, where effective heat management is crucial. By fine tuning their composition, researchers can tailor these nanofluids to meet specific industrial needs, leading to improved efficiency and energy savings. The goal of current study is twofold: first, to examine the improvement of heat, mass, and motile density of THNF, and secondly, to investigate the irreversibilities in bioconvective dihybrid and trihybrid nanofluids. The THNF is formulated by suspension of nanoparticles of cobalt ferrite [Formula: see text], disulfide (dithioxo) molybdenum [Formula: see text], and copper (Cu) into pure engine oil [Formula: see text]. For dihybrid nanofluid the volume fraction of copper is taken as zero. Maxwell fluid model is utilized to analyze the performance of THNF and dihybrid nanofluid(DHNF). The flow in THNF and DHNF is induced due to an impermeable stretched sheet. Flow governing equations for DHNF and THNF are obtained considering diverse assumptions like electro-magnetohydrodynamic(EMHD), Dufour, Soret, chemical reaction, thermal radiation, and activation energy. Irreversibilities are modeled with the help of thermodynamics second law. The model equations are altered into ordinary system via transformation procedure. Numerical simulations are carried out through built-in function(NDSolve) of Mathematica. Impact of generated variables on DHNF and THNF velocity, thermal field, motile density profile and mass concentration are examined. Comparative analysis for THNF and DHNF is performed. Furthermore, local heat, mass, density, and skin friction coefficient for THNF and DHNF are numerically investigated. Numerical results show that the skin friction coefficient for THNF is 3.2% more than that of DHNF, and the heat transfer rate of THNF is up to 16% higher than that of DHNF. The density number of DHNF is about 1.08% less than that of THNF.
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Research context

OpenAlex topics: Nanofluid Flow and Heat Transfer · Power Transformer Diagnostics and Insulation · Solar Thermal and Photovoltaic Systems

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References (60)

Show source-provided references
1. Nasir S, Khan Z, Berrouk AS, Aamir A. Modeling and performance optimization of non-Newtonian hybrid nanofluid solar HVAC systems with magnetic effects using neural networks. Energy. 2025;338:138743.10.1016/j.energy.2025.138743 ↗
2. Thanikodi S, Giri J, Saravanan R, Ahmad S, Hourani AO. Thermal performance enhancement in evacuated tube solar collector with working fluid MWCNT/Al2O3/MgO tri-hybrid nanofluid. Case Stud Therm Eng. 2025;67:105789.10.1016/j.csite.2025.105789 ↗
3. Saleem M, Khouqeer GA, Haq F, AbdelAll N, Hussain A, Sallah M. Implications of thermal stratification and radiative heat flux in blood-based ternary and dihybrid nanomaterial flow through a stretchable cylinder. Case Stud Therm Eng. 2025;73:106649.10.1016/j.csite.2025.106649 ↗
4. Batool K, Khouqeer GA, Zainab S, AbdelAll N, Haq F, Sallah M. Physical aspects of heat transfer in ternary hybrid nanofluid flow subject to induced magnetic field and Cattaneo–Christov heat flux. Int J Energy Res. 2025;2025(1):5510496.10.1155/er/5510496 ↗
5. Nasir S, Berrouk A, Polychronopoulou K, Aamir A. Thermal absorptivity in dihydrogen-based solar energy systems using hybrid nanofluids and intelligent simulations. Appl Therm Eng. 2025;280:128198.10.1016/j.applthermaleng.2025.128198 ↗
6. Habib S, Nasir S, Khan Z, Berrouk AS, Islam S, Aamir A. Modeling of chemically reactive fluid dynamics with thermal effect and energy source through a magnetized medium. J Therm Anal Calorim. 2025;150(6):4631–51.10.1007/s10973-025-14031-z ↗
7. Cao W, Animasaun ILA, Yook S-J, Oladipupo VA, Ji X. Simulation of the dynamics of colloidal mixture of water with various nanoparticles at different levels of partial slip: Ternary-hybrid nanofluid. Int Commun Heat Mass Transfer. 2022;135:106069.10.1016/j.icheatmasstransfer.2022.106069 ↗
8. Xiu W, Animasaun IL, Al-Mdallal QM, Alzahrani AK, Muhammad T. Dynamics of ternary-hybrid nanofluids due to dual stretching on wedge surfaces when volume of nanoparticles is small and large: Forced convection of water at different temperatures. Int Commun Heat Mass Transfer. 2022;137:106241.10.1016/j.icheatmasstransfer.2022.106241 ↗
9. Nagaraja KV, Khan U, Madhukesh JK, Hassan AM, Prasannakumara BC, Kahla NB, et al. Heat and mass transfer analysis of assisting and opposing radiative flow conveying ternary hybrid nanofluid over an exponentially stretching surface. Sci Rep. 2023;13(1):14795.10.1038/s41598-023-41916-6 ↗
10. Guedri K, Khan A, Sene N, Raizah Z, Saeed A, Galal AM. Thermal flow for radiative ternary hybrid nanofluid over nonlinear stretching sheet subject to Darcy–Forchheimer phenomenon. Math Probl Eng. 2022;2022(1):3429439.
11. Obalalu AM, Khan U, Isarinade AF, Alsawah GA, Hussain SM. Use of a finite element scheme to study radiative peristaltic flow of blood plasma-based ternary hybrid nanofluids in a wavy channel with Hall current effects. J Radiation Res Appl Sci. 2025;18(3):101749.
12. Gul H, Ramzan M, Saleel CA, Kadry S. A comparative analysis of ternary-hybrid nanofluid flows through a stretching cylinder influenced by an induced magnetic field with homogeneous–heterogeneous reactions. Numerical Heat Transfer, Part A: Appl. 2025;86(6):1688–703.10.1080/10407782.2023.2281543 ↗
13. Nasir S, Berrouk AS. Numerical and intelligent neuro-computational modelling with Fourier’s energy and Fick’s mass flux theory of 3D fluid flow through a stretchable surface. Eng Appl Comput Fluid Mech. 2023;17(1):2270675.
14. Nasir S, Berrouk AS, Aamir A, Polychronopoulou K. The role of auto-catalysis reaction and thermal radiation on dynamics of CNTs nanoparticles in a rotating system. Adv Modeling Simulation Eng Sci. 2025;12(1):21.10.1186/s40323-025-00303-8 ↗
15. Zainal NA, Nazar R, Naganthran K, Pop I. Unsteady MHD mixed convection flow in hybrid nanofluid at three-dimensional stagnation point. Mathematics. 2021;9(5):549.10.3390/math9050549 ↗
16. Waini I, Khashi’ie NS, Kasim ARM, Zainal NA, Ishak A, Pop I. Radiative heat transfer of Reiner-Philippoff fluid flow past a nonlinearly shrinking sheet: Dual solutions and stability analysis. Chin J Phys. 2022;77:45–56.10.1016/j.cjph.2021.11.037 ↗
17. Khashi’ie NS, Waini I, Mukhtar MF, Zainal NA, Hamzah KB, Arifin NM, et al. Response surface methodology (RSM) on the hybrid nanofluid flow subject to a vertical and permeable wedge. Nanomaterials. 2022;12(22):4016.10.3390/nano12224016 ↗
18. Ud Din IS, Siddique I, Ali R, Jarad F, Abdal S, Hussain S. On heat and flow characteristics of Carreau nanofluid and tangent hyperbolic nanofluid across a wedge with slip effects and bioconvection. Case Stud Therm Eng. 2022;39:102390.10.1016/j.csite.2022.102390 ↗
19. Habib D, Salamat N, Hussain S, Abdal S, Hussein AK, Ali B. Variable viscosity effects on dynamic of non-Newtonian fluid nanofluid over a paraboloid of revolution via Keller box method. Eur Phys J Plus. 2024;139(5):427.10.1140/epjp/s13360-024-05242-8 ↗
20. Yahya AU, Eldin SM, Alfalqui SH, Ali R, Salamat N, Siddique I, et al. Computations for efficient thermal performance of Go + AA7072 with engine oil based hybrid nanofluid transportation across a Riga wedge. Heliyon. 2023;9(7):e17920.10.1016/j.heliyon.2023.e17920 ↗
21. Khan Y, Abdal S, Hussain S, Siddique I. Numerical simulation for thermal enhancement of $ H_2O $ + Ethyl Glycol base hybrid nanofluid comprising $ GO + (Ag, AA7072, MoS_2) $ nano entities due to a stretched sheet. AIMS Math. 2023;8(5):11221–37.10.3934/math.2023568 ↗
22. Zainal NA, Nazar R, Naganthran K, Pop I. The impact of thermal radiation on Maxwell hybrid nanofluids in the stagnation region. Nanomaterials. 2022;12(7):1109.10.3390/nano12071109 ↗
23. Khan H, Haneef M, Shah Z, Islam S, Khan W, Muhammad S. The combined magneto hydrodynamic and electric field effect on an unsteady maxwell nanofluid flow over a stretching surface under the influence of variable heat and thermal radiation. Appl Sci. 2018;8:160.10.3390/app8020160 ↗
24. Rahman M, Kada B, Haq F, Younis J, Hussain A, Ahmed MH, et al. Thermal radiation and permeability effects in thermal transportation of Maxwell hybrid nanofluid flow with irreversibility optimization. Case Stud Therm Eng. 2024;61:105052.10.1016/j.csite.2024.105052 ↗
25. Nasir S, Berrouk AS, Aamir A, Shah Z. Entropy optimization and heat flux analysis of Maxwell nanofluid configurated by an exponentially stretching surface with velocity slip. Sci Rep. 2023;13(1):2006.10.1038/s41598-023-29137-3 ↗
26. Abbas N, Shatanawi W, Shatnawi TAM. Transportation of nanomaterial Maxwell fluid flow with thermal slip under the effect of Soret-Dufour and second-order slips: nonlinear stretching. Sci Rep. 2023;13(1):2182.10.1038/s41598-022-25600-9 ↗
27. Tang K, Lin G, Huang K, Qiao T, Guo Y. Visualized flow boiling regime evolution and diverging flow paths enhancement in manifold microchannel heat sinks. Int J Heat Mass Transf. 2026;259:128334.10.1016/j.ijheatmasstransfer.2026.128334 ↗
28. Ren F, Zhuang P-Z, Chen X, Yu H-S, Yang H. Physics-Informed Extreme Learning Machine (PIELM) for Stefan problems. Comput Methods Appl Mech Eng. 2025;441:118015.10.1016/j.cma.2025.118015 ↗
29. Daniel YS, Aziz ZA, Ismail Z, Salah F. Impact of thermal radiation on electrical MHD flow of nanofluid over nonlinear stretching sheet with variable thickness. Alex Eng J. 2018;57(3):2187–97.10.1016/j.aej.2017.07.007 ↗
30. Kayalvizhi J, Vijaya Kumar AG. Entropy Analysis of EMHD Hybrid Nanofluid Stagnation Point Flow over a Porous Stretching Sheet with Melting Heat Transfer in the Presence of Thermal Radiation. Energies. 2022; 15(21).10.3390/en15218317 ↗
31. Areekara S, Sabu AS, Mathew A, Saravanan B. Statistical analysis on the stratification effects of bioconvective EMHD nanofluid flow past a stretching sheet: Application in theranostics. Heat Transfer. 2021;50(7):6680–702.10.1002/htj.22198 ↗
32. Ramesh K, Asogwa KK, Oreyeni T, Reddy MG, Verma A. EMHD radiative titanium oxide-iron oxide/ethylene glycol hybrid nanofluid flow over an exponentially stretching sheet. Biomass Conversion and Biorefinery. 2024;14(16):18887–96.10.1007/s13399-023-04033-y ↗
33. Kuznetsov AV, Avramenko AA. Effect of small particles on this stability of bioconvection in a suspension of gyrotactic microorganisms in a layer of finite depth. Int Commun Heat Mass Transfer. 2004;31(1):1–10.10.1016/S0735-1933(03)00196-9 ↗
34. Khan A, Saeed A, Tassaddiq A, Gul T, Kumam P, Ali I, et al. Bio-convective and chemically reactive hybrid nanofluid flow upon a thin stirring needle with viscous dissipation. Sci Rep. 2021;11(1):8066.10.1038/s41598-021-86968-8 ↗
35. Hussain A, Raiz S, Hassan A, Hassan AM, Karamti H, Bognár G. Analysis of Soret and Dufour effects on radiative heat transfer in hybrid bioconvective flow of carbon nanotubes. Sci Rep. 2024;14(1):11970.10.1038/s41598-024-62647-2 ↗
36. Shamshuddin MD, Saeed A, Mishra SR, Katta R, Eid MR. Homotopic simulation of MHD bioconvective flow of water-based hybrid nanofluid over a thermal convective exponential stretching surface. Int J Numer Methods Heat Fluid Flow. 2023;34(1):31–53.10.1108/HFF-03-2023-0128 ↗
37. Hussain S, Aly AM, Öztop HF. Magneto-bioconvection flow of hybrid nanofluid in the presence of oxytactic bacteria in a lid-driven cavity with a streamlined obstacle. Int Commun Heat Mass Transfer. 2022;134:106029.10.1016/j.icheatmasstransfer.2022.106029 ↗
38. Abdal S, Siddique I, Afzal S, Chu Y-M, Ahmadian A, Salahshour S. On development of heat transportation through bioconvection of Maxwell nanofluid flow due to an extendable sheet with radiative heat flux and prescribed surface temperature and prescribed heat flux conditions. Math Methods Appl Sci. 2023;46(10):11355–72.10.1002/mma.7722 ↗
39. Jayadevamurthy PGR, Rangaswamy N, Prasannakumara BC, Nisar KS. Emphasis on unsteady dynamics of bioconvective hybrid nanofluid flow over an upward–downward moving rotating disk. Numer Methods Partial Differ Equ. 2024;40(1):e22680.10.1002/num.22680 ↗
40. Haq F, Ghazwani HA, Ghazwani MH. Rheological aspects of bioconvective flow of radiated ternary hybrid nanofluid toward porous stretched cylinder with activation energy and heat generation. J Therm Anal Calorim. 2025. https://doi.org/10.1007/s10973-025-14020-2.10.1007/s10973-025-14020-2 ↗
41. Haq F, Hussain A, Ghazwani HA. Numerical simulation for thermal transport in the chemically reactive flow of bioconvective Reiner-Rivlin nanofluid with magnetic field. J Therm Anal Calorim. 2024;149(22):13117–28.10.1007/s10973-024-13645-z ↗
42. Lone SA, Shamshuddin MD, Shahab S, Iftikhar S, Saeed A, Galal AM. Computational analysis of MHD driven bioconvective flow of hybrid Casson nanofluid past a permeable exponential stretching sheet with thermophoresis and Brownian motion effects. J Magn Magn Mater. 2023;580:170959.10.1016/j.jmmm.2023.170959 ↗
43. Asjad MI, Ikram MD, Sarwar N, Muhammad T, Sivasankaran S, Subaihi SAA. Analysis of fractional bioconvection with hybrid nanoparticles in channel flow. Math Probl Eng. 2022;2022(1):8600591.
44. Bejan A. A study of entropy generation in fundamental convective heat transfer. J Heat Transfer. 1979;101(4):718–25.10.1115/1.3451063 ↗
45. Hayat T, Khan MWA, Khan MI, Alsaedi A. Nonlinear radiative heat flux and heat source/sink on entropy generation minimization rate. Physica B Condens Matter. 2018;538:95–103.10.1016/j.physb.2018.01.054 ↗
46. Shah F, Khan SA, Al-Khaled K, Khan MI, Khan SU, Shah NA, et al. Impact of entropy optimized Darcy-Forchheimer flow in MnZnFe2O4 and NiZnFe2O4 hybrid nanofluid towards a curved surface. 2022;102(3): e202100194.10.1002/zamm.202100194 ↗
47. Khan SA, Hayat T, Alsaedi A. KHA model comprising MoS4 and CoFe2O3 in engine oil invoking non-similar Darcy–Forchheimer flow with entropy and Cattaneo–Christov heat flux. Nanoscale Adv. 2023;5(22):6135–47.10.1039/D3NA00441D ↗
48. Mahboobtosi M, Hosseinzadeh K, Ganji DD. Entropy generation analysis and hydrothermal optimization of ternary hybrid nanofluid flow suspended in polymer over curved stretching surface. Int J Thermofluids. 2023;20:100507.10.1016/j.ijft.2023.100507 ↗
49. Farooq U, Waqas H, Fatima N, Imran M, Noreen S, Bariq A, et al. Computational framework of cobalt ferrite and silver-based hybrid nanofluid over a rotating disk and cone: a comparative study. Sci Rep. 2023;13(1):5369.10.1038/s41598-023-32360-7 ↗
50. Jiang H, Hou X, Chu C, Guan W, Wang Y, Zhao D. Why do hybrid nanoparticles perform better in improving heat transfer performance of lubricating oil during lubrication process: an experiment and molecular dynamics simulation. Tribol Int. 2024;193:109418.10.1016/j.triboint.2024.109418 ↗
51. Kong D, Tian X, Li G, Liu C, Niu X, Isaev SA, et al. Numerical study of particle deposition and heat transfer characteristics in an S-shaped miniature cooling channel of a gas turbine blade. Powder Technol. 2026;468:121612.10.1016/j.powtec.2025.121612 ↗
52. Sepehrnia M, Maleki H, Forouzandeh Behbahani M. Tribological and rheological properties of novel MoO3-GO-MWCNTs/5W30 ternary hybrid nanolubricant: experimental measurement, development of practical correlation, and artificial intelligence modeling. Powder Technol. 2023;421:118389.10.1016/j.powtec.2023.118389 ↗
53. Fu Q, Liu Z, Nazir F, Ahmed J, Mohamed A, Khan I, et al. Thermal transmission in thin film coating of ternary hybrid nanofluid over a rotating disk under magnetic field and nonlinear radiative effects. Case Stud Therm Eng. 2025;69:105978.10.1016/j.csite.2025.105978 ↗
54. Fu C, Huang K, Chen H, Huang B, Zhang W. From fundamental mechanisms to applications and challenges of nanofluid flooding in enhanced oil recovery: a review. Fuel. 2025;396:135317.10.1016/j.fuel.2025.135317 ↗
55. Gurav P, Naik SS, Ansari K, Srinath S, Kishore KA, Setty YP, et al. Stable colloidal copper nanoparticles for a nanofluid: production and application. Colloids Surf, A. 2014;441:589–97.10.1016/j.colsurfa.2013.10.026 ↗
56. Dero S, Lund LA, Kamel A-K, Imran AM, Muhammad T, Khan SU, et al. Radiative flow of copper and aluminum nanoparticles with heat source phenomenon: dual numerical simulations and stability analysis. Math Probl Eng. 2022;2022(1):1736516.
57. Ye L, Guo H, Zhu Y, Jiang P. Large eddy simulation of film cooling flow from diffusion slot hole with crossflow coolant configuration. Phys Fluids. 2023;35(5):055101.10.1063/5.0206916 ↗
58. Saleem M, Khouqeer GA, Haq F, Sallah M. Entropy modeling in bioconvective stratified magnetohydrodynamic cross hybrid nanofluid flow with thermal radiation. J Radiation Res Appl Sci. 2025;18(2):101415.
59. Kairi R, Murthy PJOTPJ. Effect of melting and thermo-diffusion on natural convection heat mass transfer in a non-Newtonian fluid saturated non-Darcy porous medium. 2009; 1:7-1410.2174/1877729500901010007 ↗
60. Ibrahim W, Negera M. Melting and viscous dissipation effect on upper-convected Maxwell and Williamson nanofluid. Eng Rep. 2020;2(5):e12159.