Machine learning investigation of marangoni convection in hybrid nanofluids with Darcy-Forchheimer

Machine Learning


  • Mahdi, R. A., Mohammed, H. A., Munisamy, K. M. & Saeid, N. H. Review of convection heat transfer and fluid flow in porous media with nanofluid. Renew. Sustain. Energy Rev. 41, 715–734 (2015).

    Article 
    CAS 

    Google Scholar 

  • Sankar, M., Swamy, H. A. K., Do, Y. & Altmeyer, S. Thermal effects of nonuniform heating in a nanofluid filled annulus: Buoyant transport versus entropy generation. Heat Transf https://doi.org/10.1002/htj.22342 (2021).

    Article 

    Google Scholar 

  • Abbas, M. et al. Numerically analysis of Marangoni convective flow of hybrid nanofluid over an infinite disk with thermophoresis particle deposition. Sci. Rep. 13, 5036. https://doi.org/10.1038/s41598-023-32011-x (2023).

    Article 
    CAS 
    PubMed 
    PubMed Central 

    Google Scholar 

  • Rosensweig, R. E. Ferrohydrodynamics (Cambridge University Press, 1985).

    Google Scholar 

  • Altmeyer, S. Ferrofluids. Scholarpedia 15(11), 55163 (2020).

    Article 

    Google Scholar 

  • http://www.scholarpedia.org/article/Ferrofluids.

  • Gowda, P., Sankar, M., Salah, A. & Altmeyer, S. A. Buoyant flow and thermal analysis in a nanofluid-filled cylindrical porous annulus with a circular baffle: A computational and machine learning-based approach. Mathematics 13, 2027 (2025).

    Article 

    Google Scholar 

  • Buongiorno, J. Convective transport in nanofluids (2006).

  • Kshirsagar, D. P. & Venkatesh, M. A. A review on hybrid nanofluids for engineering applications. Mater. Today: Proc. 44, 744–755 (2021).

    Google Scholar 

  • Ahmad, B., Abbas, T., Fatima, K., Duraihem, F. Z. & Saleem, S. Nonlinear flow of hybrid nanofluid with thermal radiation: A numerical investigation. ZAMM-J. Appl. Math. Mech./Zeitschrift für Angewandte Mathematik und Mechanik 104(1), e202200170 (2024).

    MathSciNet 

    Google Scholar 

  • Buongiorno, J. and Hu, L.W., 8. Innovative Technologies: Two-Phase heat transfer in Water-Based nanofluids for nuclear applications final report (No. DOE/ID/14765-8). Massachusetts Institute of Technology Cambridge, MA 02139-4307 2009.

  • Tiwari, R. K. & Das, M. K. Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids. Int. J. Heat Mass Transf. 50(9–10), 2002–2018 (2007).

    Article 
    CAS 

    Google Scholar 

  • Pordanjani, A. H. et al. Nanofluids: Physical phenomena, applications in thermal systems and the environment effects-a critical review. J. Clean. Prod. 320, 128573 (2021).

    Article 
    CAS 

    Google Scholar 

  • Liu, Z. et al. Numerical bio-convective assessment for rate type nanofluid influenced by Nield thermal constraints and distinct slip features. Case Stud. Therm. Eng. 44, 102821 (2023).

    Article 

    Google Scholar 

  • Soudagar, M. E. M. et al. Optimizing IC engine efficiency: A comprehensive review on biodiesel, nanofluid, and the role of artificial intelligence and machine learning. Energy Convers. Manag. 307, 118337 (2024).

    Article 
    CAS 

    Google Scholar 

  • Wang, X. et al. Nanofluids application in machining: A comprehensive review. Int. J. Adv. Manuf. Technol. 131(5), 3113–3164 (2024).

    Article 

    Google Scholar 

  • Sheikholeslami, M. & Khalili, Z. Simulation for impact of nanofluid spectral splitter on efficiency of concentrated solar photovoltaic thermal system. Sustain. Cities Soc. 101, 105139 (2024).

    Article 

    Google Scholar 

  • Bani-Fwaz, M. Z. et al. Computational investigation of thermal process in radiated nanofluid modulation influenced by nanoparticles (Al2O3) and molecular (H2O) diameters. J. Comput. Des. Eng. 11(2), 22–36 (2024).

    Google Scholar 

  • Wang, J. et al. A review on nanofluid stability: Preparation and application. Renew. Sustain. Energy Rev. 188, 113854 (2023).

    Article 
    CAS 

    Google Scholar 

  • Alsabery, A. I. et al. Convection heat transfer in enclosures with inner bodies: A review on single and two-phase nanofluid models. Renew. Sustain. Energy Rev. 183, 113424 (2023).

    Article 
    CAS 

    Google Scholar 

  • Khan, M. & Khan, W. A. Steady flow of Burgers’ nanofluid over a stretching surface with heat generation/absorption. J. Braz. Soc. Mech. Sci. Eng. 38(8), 2359–2367 (2016).

    Article 
    CAS 

    Google Scholar 

  • Modi, K. V., Patel, P. R. & Patel, S. K. Applicability of mono-nanofluid and hybrid-nanofluid as a technique to improve the performance of solar still: A critical review. J. Clean. Prod. 387, 135875 (2023).

    Article 
    CAS 

    Google Scholar 

  • Li, S. et al. Analysis of the Thomson and Troian velocity slip for the flow of ternary nanofluid past a stretching sheet. Sci. Rep. 13(1), 2340 (2023).

    Article 
    PubMed 
    PubMed Central 

    Google Scholar 

  • Ahmad, S. & Nadeem, S. Thermal analysis in buoyancy driven flow of hybrid nanofluid subject to thermal radiation. Int. J. Ambient Energy 43(1), 3868–3876 (2020).

    Article 

    Google Scholar 

  • Sreenivasulu, M. B. & Vijaya, R. Influence of activation energy on the hybrid nanofluid flow over a flat plate with quadratic thermal radiation: An irreversibility analysis. Int. J. Ambient Energy 43(1), 8878–8887 (2022).

    Article 

    Google Scholar 

  • Sushma, S., Pavithra, C.G., Gowtham, K.J. and Gireesha, B.J., Impact of similarity transformations on hybrid nanofluid thermal behavior with thermal radiation on nonlinear stretching surface via Hermite wavelet transformations. Radiat. Eff. Defects Solids, pp.1–25 2024.

  • Li, Y. X. et al. Numerical treatment of time dependent magnetohydrodynamic nanofluid flow of mass and heat transport subject to chemical reaction and heat source. Alex. Eng. J. 61(3), 2484–2491 (2022).

    Article 

    Google Scholar 

  • Awan, S. E., Raja, M. A. Z., Mehmood, A., Niazi, S. A. & Siddiqa, S. Numerical treatments to analyze the nonlinear radiative heat transfer in MHD nanofluid flow with solar energy. Arab. J. Sci. Eng. 45, 4975–4994 (2020).

    Article 

    Google Scholar 

  • Prakash, J., Tripathi, D. & Bég, O. A. Computation of EMHD ternary hybrid non-Newtonian nanofluid over a wedge embedded in a Darcy-Forchheimer porous medium with zeta potential and wall suction/injection effects. Int. J. Ambient Energy 44(1), 2155–2169 (2023).

    Article 

    Google Scholar 

  • Ellahi, R., Tariq, M. H., Hassan, M. & Vafai, K. On boundary layer nano-ferroliquid flow under the influence of low oscillating stretchable rotating disk. J. Mol. Liq. 229, 339–345 (2017).

    Article 
    CAS 

    Google Scholar 

  • Jamshed, W. et al. Numerical simulations of environmental energy features in solar pump applications by using hybrid nanofluid flow: Prandtl-Eyring case. Energy Environ. 34(4), 780–807 (2023).

    Article 
    CAS 

    Google Scholar 

  • Chakraborty, S. & Panigrahi, P. K. Stability of nanofluid: A review. Appl. Therm. Eng. 174, 115259 (2020).

    Article 
    CAS 

    Google Scholar 

  • Muneeshwaran, M., Srinivasan, G., Muthukumar, P. & Wang, C. C. Role of hybrid-nanofluid in heat transfer enhancement–A review. Int. Commun. Heat Mass Transf. 125, 105341 (2021).

    Article 
    CAS 

    Google Scholar 

  • Sarkar, J., Ghosh, P. & Adil, A. A review on hybrid nanofluids: Recent research, development, and applications. Renew. Sustain. Energy Rev. 43, 164–177 (2015).

    Article 
    CAS 

    Google Scholar 

  • Qureshi, M. A. Thermal capability and entropy optimization for Prandtl-Eyring hybrid nanofluid flow in solar aircraft implementation. Alex. Eng. J. 61(7), 5295–5307 (2022).

    Article 

    Google Scholar 

  • Shah, Z., Rooman, M. & Shutaywi, M. Computational analysis of radiative engine oil-based Prandtl-Eyring hybrid nanofluid flow with variable heat transfer using the Cattaneo-Christov heat flux model. RSC Adv. 13(6), 3552–3560 (2023).

    Article 
    CAS 
    PubMed 
    PubMed Central 

    Google Scholar 

  • Shehzad, S. A., Sheikholeslami, M., Ambreen, T. & Shafee, A. Convective MHD flow of hybrid-nanofluid within an elliptic porous enclosure. Phys. Lett. A 384(28), 126727 (2020).

    Article 
    MathSciNet 
    CAS 

    Google Scholar 

  • Radhika, M., Punith Gowda, R. J., Naveenkumar, R., Siddabasappa, & Prasannakumara, B. C. Heat transfer in dusty fluid with suspended hybrid nanoparticles over a melting surface. Heat Transf. 50(3), 2150–2167 (2021).

    Article 

    Google Scholar 

  • Hussain, M., Imran, M., Waqas, H., Muhammad, T. & Eldin, S. M. An efficient heat transfer analysis of MHD flow of hybrid nanofluid between two vertically rotating plates using Keller box scheme. Case Stud. Therm. Eng. 49, 103231 (2023).

    Article 

    Google Scholar 

  • Qureshi, H., Shah, Z., Raja, M. A. Z. & Khan, W. A. Stochastic analysis of the MHD flow over a stretching porous surface with variable viscosity. Pramana 98(4), 1–18 (2024).

    Article 

    Google Scholar 

  • Lund, L. A., Yashkun, U., & Shah, N. A. Magnetohydrodynamics streamwise and cross flow of hybrid nanofluid along the viscous dissipation effect: Duality and stability. Phys. Fluids, 35(2) (2023).

  • Shah, Z. et al. Design of neural network based intelligent computing for neumerical treatment of unsteady 3D flow of Eyring-Powell magneto-nanofluidic model. J. Market. Res. 9(6), 14372–14387 (2020).

    Google Scholar 

  • Zubair, M., Qureshi, H., Hussain, A., Khan, W. A. & Muhammad, T. Machine learning-based stochastic investigation of heat and momentum transfer in ternary-hybrid nanofluids with aggregation effects using artificial neural networks. J. Therm. Anal. Calorimet. 150, 1–19 (2025).

    Google Scholar 

  • Alqahtani, A. M., Bilal, M., Ali, A., Alsenani, T. R. & Eldin, S. M. Numerical solution of an electrically conducting spinning flow of hybrid nanofluid comprised of silver and gold nanoparticles across two parallel surfaces. Sci. Rep. 13(1), 7180 (2023).

    Article 
    CAS 
    PubMed 
    PubMed Central 

    Google Scholar 

  • Ali, B. et al. Mixed convective flow of hybrid nanofluid over a heated stretching disk with zero-mass flux using the modified Buongiorno model. Alex. Eng. J. 72, 83–96 (2023).

    Article 

    Google Scholar 

  • Qureshi, H., AI-driven analysis of buoyancy-convective flow of ternary-hybrid nanofluid in a porous medium over stretching cylinder. Nonlinear Dyn., pp.1–18 2025.

  • Qureshi, H., Latif, A., Athar, T., Raheem, A. and Muhammad, T., Artificial Neural Network Driven Investigation of thermal exchange through hybrid nanofluid of polymer/CNT across parallel sheets. Case Stud. Therm. Eng., p.106903 2025.

  • Zubair, M., Qureshi, H., Khaliq, U., Saidani, T. and Khan, W.A., Machine Learning analysis of Tangent Hyperbolic Nanofluid with Radiation and Arrhenius Activation Energy over falling cone under gravity. Partial Diff. Equ. Appl. Math., p.101280 2025.

  • Khan, M. I. et al. Marangoni convective flow of hybrid nanofluid (MnZnFe2O4-NiZnFe2O4-H2O) with Darcy Forchheimer medium. Ain Shams Eng. J. 12(4), 3931–3938 (2021).

    Article 

    Google Scholar 

  • Wong, K. V. & De Leon, O. Applications for nanofluids: Current and future. Adv. Mech. Eng. 2, 519659 (2010).

    Article 

    Google Scholar 

  • Gowtham, K. J., Gireesha, B. J. & Pavithra, C. G. Investigation of Third-Grade fluid flow in an inclined microchannel: Utilizing the Hermite wavelet technique for second law analysis. Chem. Eng. Sci. 300, 120646 (2024).

    Article 
    CAS 

    Google Scholar 

  • Keerthi, M. L., Gireesha, B. J. & Sowmya, G. Impact of shape-dependent hybrid nanofluid on transient efficiency of a fully wet porous longitudinal fin. Arab. J. Sci. Eng. 49(2), 2017–2026 (2024).

    Article 
    CAS 

    Google Scholar 

  • Gowtham, K. J., Gireesha, B. J. & Pavithra, C. G. A study of hybrid nanofluid (N i Z n F e 2 O 4+ M n Z n F e 2 O 4) in micro channel with partial slips and convective conditions: entropy generation analysis. Int. J. Appl. Comput. Math. 10(2), 45 (2024).

    Article 

    Google Scholar 

  • Qureshi, H., Shah, Z., Raja, M.A.Z., and Khan, W.A., Machine learning investigation for tri-magnetized Sutterby nanofluidic model with Joule heating in agrivoltaics technology. NANO 2024.

  • Leela, V. et al. Computational modelling and thermophysical characterization of Kelvin-Voigt fluid flow: A neural network approach. ZAMM-J. Appl. Math. Mech./Zeitschrift für Angewandte Mathematik und Mechanik 105(5), e70073 (2025).

    MathSciNet 

    Google Scholar 

  • Shilpa, B. et al. A novel machine learning approach for numerical simulation on the hybrid nanofluid flow past a converging/diverging channel: Properties of tantalum and alumina nanoparticles. Partial Diff. Equ. Appl. Math. 13, 101063 (2025).

    Google Scholar 

  • Shilpa, B. et al. Exploration of Arrhenius activation energy and thermal radiation on MHD double-diffusive convection of ternary hybrid nanofluid flow over a vertical annulus with discrete heating. Case Stud. Therm. Eng. 65, 105593 (2025).

    Article 

    Google Scholar 

  • Rani, H. P., Shilpa, B., Leela, V. & Reddy, R. G. Numerical simulation and neural network model for hydromagnetic nanofluid convection in a porous wavy channel with thermal non-equilibrium model. Phys. Scr. 99(11), 115219 (2024).

    Article 
    CAS 

    Google Scholar 

  • Shilpa, B. et al. Integrated neural network based simulation of thermo solutal radiative double-diffusive convection of ternary hybrid nanofluid flow in an inclined annulus with thermophoretic particle deposition. Case Stud. Therm. Eng. 62, 105158 (2024).

    Article 

    Google Scholar 

  • Kumar, P., Almeida, F. & Al-Mdallal, Q. Artificial neural network model using Levenberg Marquardt algorithm to analyse transient flow and thermal characteristics of micropolar nanofluid in a microchannel. Partial Diff. Equ. Appl. Math. 13, 101061 (2025).

    Google Scholar 

  • Almeida, F., Kumar, P., Ajaykumar, A. R. & Nagaraja, B. Implementation of artificial neural network using Levenberg Marquardt algorithm for Casson-Carreau nanofluid flow over exponentially stretching curved surface. Neural Comput. Appl. 36(31), 19393–19415 (2024).

    Article 

    Google Scholar 

  • Kumar, P., Almeida, F. & Al-Mdallal, Q. Artificial neural network algorithm for time dependent radiative Casson fluid flow with couple stresses through a microchannel. Alex. Eng. J. 125, 167–184 (2025).

    Article 

    Google Scholar 

  • Kumar, P., Almeida, F., Nagaraja, B., Ajaykumar, A. R. & Al-Mdallal, Q. Neural network model using Levenberg Marquardt backpropagation algorithm for the prandtl fluid flow over stratified curved sheet. IEEE Access 12, 102242–102260 (2024).

    Article 

    Google Scholar 

  • Kumar, P., Almeida, F., Muhammad, T. & Alghamdi, M. Surface drag optimization using ANOVA-Taguchi method for the unsteady radiative flow of dusty-trihybrid nanofluid in a microchannel emphasizing shape factor. J. Radiat. Res. Appl. Sci. 18(3), 101806 (2025).

    CAS 

    Google Scholar 

  • Yusuf, A., Bhatti, M. M. & Ellahi, R. Study of ionic water/graphene nanofluids in solar panels under the effects of thermal radiation and slip conditions using experimental data. Int. Commun. Heat Mass Transf. 164, 108845 (2025).

    Article 
    CAS 

    Google Scholar 

  • Oni, M.O., Akolade, M.T., Samaila, G., Yusuf, T.S., Tijani, Y.O., Yusuf, A. and Malgwi, P.B., Theory of conjugate mixed convection flow of hybridized ethylene glycol based nanoparticles with Joule heating. J.Therm. Anal.Calorimet., pp.1–13 2025.

  • Yusuf, A., Khan, S.U., Hassan, M., Bhatti, M.M. and Öztop, H.F., Heat transfer optimization of MWCNT-Al2O3 hybrid nanofluids under convective and irreversible effects. J.Umm Al-Qura Univ Appl. Sci., pp.1–15 2025.

  • Qureshi, H., Rani, S., Altmeyer, S. A., Investigation of Marangoni Convective Flow of Hybrid Nanofluids in Darcy-Forchheimer Porous Medium. J App Mat Sci & Engg Res, 8(4), 01–14 (2024).

    Article 

    Google Scholar 



  • Source link

    Leave a Reply

    Your email address will not be published. Required fields are marked *