Hydrothermal performance of hybrid nanofluid flow over an exponentially stretching sheet influenced by gyrotactic microorganisms: A comparative evaluation of Yamada-Ota and Xue models

References

• C. Y. Wang, “Fluid flow due to a stretching cylinder,” Phys. Fluid., vol. 31, no. 3, pp. 466–468, 1988. DOI: 10.1063/1.866827.
   Web of Science ®Google Scholar
• E. Magyari and B. Keller, “Heat and mass transfer in the boundary layers on an exponentially stretching continuous surface,” J. Phys. D: Appl. Phys., vol. 32, no. 5, pp. 577–585, 1999. DOI: 10.1088/0022-3727/32/5/012.
   Web of Science ®Google Scholar
• S. U. Choi and J. A. Eastman, “Enhancing Thermal Conductivity of Fluids with Nanoparticles (No. ANL/MSD/CP-84938; CONF-951135-29),” Argonne National Lab. (ANL), Argonne, IL (United States), 1995,
   Google Scholar
• P. S. A. Reddy and A. Chamkha, “Heat and mass transfer characteristics of MHD three-dimensional flow over a stretching sheet filled with water-based alumina nanofluid,” Int. J. Num. Meth. Heat Fluid Flow, vol. 28, no. 3, pp. 532–546, 2018.
   Web of Science ®Google Scholar
• T. Srinivasulu and B. S. Goud, “Effect of inclined magnetic field on flow, heat and mass transfer of Williamson nanofluid over a stretching sheet,” Case Study Therm. Eng., vol. 23, pp. 100819, 2021. DOI: 10.1016/j.csite.2020.100819.
   Web of Science ®Google Scholar
• Y. D. Reddy and B. S. Goud, “MHD heat and mass transfer stagnation point nanofluid flow along a stretching sheet influenced by thermal radiation,” J. Therm. Anal. Calorim., vol. 147, no. 21, pp. 11991–12003, 2022. DOI: 10.1007/s10973-022-11430-4.
   Web of Science ®Google Scholar
• S. Sadighi, H. Afshar, M. Jabbari and H. A. D. Ashtiani, “Heat and mass transfer for MHD nanofluid flow on a porous stretching sheet with prescribed boundary conditions,” Case Study Therm. Eng., vol. 49, pp. 103345, 2023. DOI: 10.1016/j.csite.2023.103345.
   Web of Science ®Google Scholar
• M. Ramzan, N. Shahmir, H. A. S. Ghazwani, Y. Elmasry and S. Kadry, “A numerical study of nanofluid flow over a curved surface with Cattaneo–Christov heat flux influenced by induced magnetic field,” Num. Heat Transf., Part A Appl., vol. 83, no. 2, pp. 197–212, 2023.
   Web of Science ®Google Scholar
• I. Waini, A. Ishak and I. Pop, “Unsteady flow and heat transfer past a stretching/shrinking sheet in a hybrid nanofluid,” Int. J. Heat Mass Transf., vol. 136, pp. 288–297, 2019.
   Web of Science ®Google Scholar
• P. Sreedevi, P. S. Reddy and A. Chamkha, “Heat and mass transfer analysis of unsteady hybrid nanofluid flow over a stretching sheet with thermal radiation,” S. N. App. Sci., vol. 2, no. 7, pp. 1222, 2020.
   Web of Science ®Google Scholar
• P. Nanda, N. Sandeep, C. Sulochana and G. P. Ashwinkumar, “Enhanced heat transmission in methanol-based AA7072/AA7075 tangent hyperbolic hybrid nanofluid flow along a nonlinear expandable surface,” Num. Heat Transf., Part A: Appl., vol. 83, no. 7, pp. 711–725, 2023.
   Web of Science ®Google Scholar
• M. Arshad, et al., “Effect of inclined magnetic field on radiative heat and mass transfer in chemically reactive hybrid nanofluid flow due to dual stretching,” Sci. Rep., vol. 13, no. 1, pp. 7828, 2023. DOI: 10.1038/s41598-023-34871-9.
   PubMed Web of Science ®Google Scholar
• T. Hayat, S. Nadeem and A. U. Khan, “Aspects of 3D rotating hybrid CNT flow for a convective exponentially stretched surface,” Appl. Nanosci., vol. 10, no. 8, pp. 2897–2906, 2020. DOI: 10.1007/s13204-019-01036-y.
   Web of Science ®Google Scholar
• K. K. Naidu, D. H. Babu, V. S. N. Panyam, S. H. Reddy and T. Chalapathi, “Convective flow of Prandtl hybrid nanofluid (SWCNT-MWCNT/EG) over an exponentially elongated sheet with second-order slip,” J. Porous Med., vol. 25, no. 12, pp. 43–57, 2022.
   Web of Science ®Google Scholar
• A. Manigandan and P. V. Satya Narayana, “Influence of variable thermal conductivity and mixed convection on hybrid nanofluid (SWCNT + MWCNT/H2O) flow over an exponentially elongated sheet with slip conditions,” Indian J. Phys., pp. 1–14, 2023.
   PubMed Web of Science ®Google Scholar
• E. Tayari, L. Torkzadeh, D. D. Ganji and K. Nouri, “Investigation of hybrid nanofluid SWCNT–MWCNT with the collocation method based on radial basis functions,” European Phys. J. Plus., vol. 138, no. 1, pp. 3, 2023.
   Web of Science ®Google Scholar
• P. M. Patil and B. Goudar, “Single and multiple walled CNTs-TiO2 ternary hybrid nanofluid flow of Williamson fluid in an unsteady combined convective regime: an entropy analysis,” Num. Heat Transf., Part A Appl., vol. 84, no. 10, pp. 1216–1237, 2023.
   Web of Science ®Google Scholar
• M. S. Alqarni, H. Waqas, S. Yasmin and T. Muhammad, “Numerical simulation for magnetized transport of hybrid nanofluids with exponential space-based heat source,” Int. J. Modern Phys. B, vol. 35, no. 29, pp. 2150292, 2021.
   Web of Science ®Google Scholar
• T. P. Kumar, “Heat transfer of SWCNT-MWCNT based hybrid nanofluid boundary layer flow with modified thermal conductivity model,” J. Adv. Res. Fluid Mech. Therm. Sci., vol. 92, no. 2, pp. 13–24, 2022.
   Google Scholar
• A. Subramanyam Reddy, T. Thamizharasan, B. Rushi Kumar, V. Ramachandra Prasad and K. Jagadeshkumar, “A comparative study on pulsating flow of Au + SWCNT/blood and Au + MWCNT/blood based Jeffrey hybrid nanofluid in a vertical porous channel with entropy generation,” Num. Heat Transf., Part A: Appl., pp. 1–17, 2023. DOI: 10.1080/10407782.2023.2226349.
   Web of Science ®Google Scholar
• D. Pal, “Mixed convection heat transfer in the boundary layers on an exponentially stretching surface with magnetic field,” Appl. Math. Comput., vol. 217, no. 6, pp. 2356–2369, 2010. DOI: 10.1016/j.amc.2010.07.035.
   Web of Science ®Google Scholar
• D. Pal and S. K. Mondal, “Influence of chemical reaction and nonlinear thermal radiation on bioconvection of nanofluid containing gyrotactic microorganisms with magnetic field,” BioNanoSci., vol. 8, no. 4, pp. 1065–1080, 2018. DOI: 10.1007/s12668-018-0555-y.
   Web of Science ®Google Scholar
• T. S. Neethu, A. S. Sabu, A. Mathew, A. Wakif and S. Areekara, “Multiple linear regression on bioconvective MHD hybrid nanofluid flow past an exponential stretching sheet with radiation and dissipation effects,” Int. Commun. Heat Mass Transf., vol. 135, pp. 106115, 2022. DOI: 10.1016/j.icheatmasstransfer.2022.106115.
   Web of Science ®Google Scholar
• A. S. Khan, H. Y. Xu, and W. Khan, “Magnetohydrodynamic hybrid nanofluid flow past an exponentially stretching sheet with slip conditions,” Math., vol. 9, no. 24, p. 3291, 2021.
   Google Scholar
• S. A. Lone, M. D. Shamshuddin, S. Shahab, S. Iftikhar, A. Saeed and A. M. Galal, “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, vol. 580, pp. 170959, 2023. DOI: 10.1016/j.jmmm.2023.170959.
   Web of Science ®Google Scholar
• G. Mandal and D. Pal, “Estimation of entropy generation and heat transfer of magnetohydrodynamic quadratic radiative Darcy–Forchheimer cross hybrid nanofluid (GO + Ag/kerosene oil) over a stretching sheet,” Num. Heat Trans., Part A Appl., vol. 84, no. 8, pp. 853–876, 2023.
   Web of Science ®Google Scholar
• R. A. Damseh, “Thermal boundary layer on an exponentially stretching continuous surface in the presence of magnetic field effect,” Int. J. Appl. Mech. Eng., vol. 11, no. 2, pp. 289–299, 2006.
   Google Scholar
• N. A. Zainal, R. Nazar, K. Naganthran and I. Pop, “Heat generation/absorption effect on MHD flow of hybrid nanofluid over bidirectional exponential stretching/shrinking sheet,” Chinese J. Phys., vol. 69, pp. 118–133, 2021.
   Web of Science ®Google Scholar
• B. Ishtiaq, A. M. Zidan, S. Nadeem and M. K. Alaoui, “Scrutinization of MHD stagnation point flow in hybrid nanofluid based on the extended version of Yamada-Ota and Xue models,” Ain Shams Eng. J., vol. 14, no. 3, pp. 101905, 2023. DOI: 10.1016/j.asej.2022.101905.
   Web of Science ®Google Scholar
• H. Waqas, U. Farooq, D. Liu, M. Abid, M. Imran and T. Muhammad, “Heat transfer analysis of hybrid nanofluid flow with thermal radiation through a stretching sheet: a comparative study,” Int. Commun. Heat Mass Transf., vol. 138, pp. 106303, 2022. DOI: 10.1016/j.icheatmasstransfer.2022.106303.
   Web of Science ®Google Scholar
• V. K. Patel, J. U. Pandya and M. R. Patel, “Testing the influence of TiO2− Ag/water on hybrid nanofluid MHD flow with effect of radiation and slip conditions over exponentially stretching & shrinking sheets,” J. Magn. Magn. Mater, vol. 572, pp. 170591, 2023. DOI: 10.1016/j.jmmm.2023.170591.
   Web of Science ®Google Scholar
• A. Rashid, M. Ayaz, S. Islam, A. Saeed, P. Kumam and P. Suttiarporn, “Theoretical analysis of the MHD flow of a tangent hyperbolic hybrid nanofluid over a stretching sheet with convective conditions: a nonlinear thermal radiation case,” South African J. Chem. Eng., vol. 42, pp. 255–269, 2022.
   Google Scholar
• K. A. M. Alharbi, et al., “Numerical solution of Maxwell-Sutterby nanofluid flow inside a stretching sheet with thermal radiation, exponential heat source/sink, and bioconvection,” Int. J. Thermofl., vol. 18, pp. 100339, 2023. DOI: 10.1016/j.ijft.2023.100339.
   Google Scholar
• A. J. Chamkha, A. S. Dogonchi and D. D. Ganji, “Magneto-hydrodynamic flow and heat transfer of a hybrid nanofluid in a rotating system among two surfaces in the presence of thermal radiation and Joule heating,” AIP Adv., vol. 9, no. 2 2019.
   Web of Science ®Google Scholar
• A. Mishra and M. Kumar, “Thermal performance of MHD nanofluid flow over a stretching sheet due to viscous dissipation, Joule heating and thermal radiation,” Int. J. Appl. Comp. Math., vol. 6, no. 4, pp. 123, 2020.
   Google Scholar
• N. Vijay and K. Sharma, “Entropy generation analysis in MHD hybrid nanofluid flow: effect of thermal radiation and chemical reaction,” Num. Heat Transf., Part B: Fund., vol. 84, no. 1, pp. 66–82, 2023.
   Web of Science ®Google Scholar
• A. Mishra and H. Upreti, “Computational analysis of radiative nanofluid flow past an inclined cylinder with slip effects using the Yamada–Ota model,” Num. Heat Transf., Part A: Appl., pp. 1–19, 2023.
   Google Scholar
• N. S. Wahid, N. M. Arifin, N. S. Khashi’ie and I. Pop, “Mixed convection MHD hybrid nanofluid over a shrinking permeable inclined plate with thermal radiation effect,” Alexandria Eng. J., vol. 66, pp. 769–783, 2023.
   Web of Science ®Google Scholar
• S. Rao and P. N. Deka, “A study on MHD flow of SWCNT-Al2O3/water hybrid nanofluid past a vertical permeable cone under the influence of thermal radiation and chemical reactions,” Num. Heat Transf., Part A: Appl., pp. 1–21, 2023.
   Web of Science ®Google Scholar
• E. Yamada and T. Ota, “Effective thermal conductivity of dispersed materials,” Wärme-Und Stoffübertragung, vol. 13, no. 1-2, pp. 27–37, 1980.
   Google Scholar
• L. F. Shampine, I. Gladwell and S. Thompson, Solving ODEs with Matlab. Cambridge: Cambridge University Press, 2003,
   Google Scholar