Entropy generation analysis on MHD flow of second-grade hybrid nanofluid over a porous channel with thermal radiation

References

• G. B. Jeffery, “L. The two-dimensional steady motion of a viscous fluid,” London, Edinburgh, Dublin Philos. Mag. J. Sci., vol. 29, no. 172, pp. 455–465, 1915. DOI: 10.1080/14786440408635327.
   Google Scholar
• P. R. S. L. A., “The steady two-dimensional radial flow of viscous fluid between two inclined plane walls,” Proc. R. Soc. London. Ser. A. Math. Phys. Sci., vol. 175, no. 963, pp. 436–467, 1940. DOI: 10.1098/rspa.1940.0068.
   Google Scholar
• Z. Z. Ganji, D. D. Ganji and M. Esmaeilpour, “Study on nonlinear Jeffery-Hamel flow by He’s semi-analytical methods and comparison with numerical results,” Comput. Math. Appl., vol. 58, no. 11-12, pp. 2107–2116, 2009. DOI: 10.1016/j.camwa.2009.03.044.
   Web of Science ®Google Scholar
• L. E. Fraenkel, “Laminar Flow in Symmetrical Channels with Slightly Curved Walls. I. On the Jeffery-Hamel Solutions for Flow Between Plane Walls,” 1962. DOI: 10.1098/rspa.1962.0087.
   Google Scholar
• I. R. Petroudi, D. D. Ganji, M. K. Nejad, J. Rahimi, E. Rahimi and A. Rahimifar, “Transverse magnetic field on Jeffery-Hamel problem with Cu-water nanofluid between two non parallel plane walls by using collocation method,” Case Stud. Therm. Eng., vol. 4, pp. 193–201, 2014. DOI: 10.1016/j.csite.2014.10.002.
   Google Scholar
• S. U. S. Choi, “Enhancing thermal conductivity of fluids with nanoparticles,” Am. Soc. Mech. Eng. Fluids Eng. Div. FED, vol. 231, no. March, pp. 99–105, 1995.
   Google Scholar
• F. Saba, N. Ahmed, U. Khan and S. T. Mohyud-Din, “International journal of heat and mass transfer a novel coupling of ð CNT À Fe 3 O 4 = H 2 O Þ hybrid nanofluid for improvements in heat transfer for flow in an asymmetric channel with dilating/squeezing walls,” Int. J. Heat Mass Transf., vol. 136, pp. 186–195, 2019. DOI: 10.1016/j.ijheatmasstransfer.2019.02.097.
   Web of Science ®Google Scholar
• P. S. Reddy, P. Sreedevi and V. N. Reddy, “Entropy generation and heat transfer analysis of magnetic nanofluid flow inside a square cavity filled with carbon nanotubes,” Chem. Thermodyn. Therm. Anal., vol. 6, no. February, pp. 100045, 2022. DOI: 10.1016/j.ctta.2022.100045.
   Google Scholar
• P. S. Reddy, P. Sreedevi and S. Venkateswarlu, “Impact of modified Fourier’s heat flux on the heat transfer of MgO/Fe3O4–Eg-based hybrid nanofluid flow inside a square chamber,” Waves Random Complex Media, pp. 1–23, 2022. DOI: 10.1080/17455030.2022.2058112.
   Web of Science ®Google Scholar
• A. Abbasi, et al., “Heat transport exploration for hybrid nanoparticle (Cu, Fe3O4)—based blood flow via tapered complex wavy curved channel with slip features,” Micromachines (Basel), vol. 13, no. 9, pp. 1415, 2022. DOI: 10.3390/mi13091415.
   PubMed Web of Science ®Google Scholar
• S. Jakeer, P. BalaAnki Reddy, A. M. Rashad and H. A. Nabwey, “Impact of heated obstacle position on magneto-hybrid nanofluid flow in a lid-driven porous cavity with Cattaneo-Christov heat flux pattern,” Alexandria Eng. J., vol. 60, no. 1, pp. 821–835, 2021. DOI: 10.1016/j.aej.2020.10.011.
   Web of Science ®Google Scholar
• U. Khan et al., “A novel hybrid model for Cu-Al2O3/H2O nanofluid flow and heat transfer in convergent/divergent channels,” Energies, vol. 13, no. 7, 1686, 2020, DOI: 10.3390/en13071686.
   Web of Science ®Google Scholar
• S. H. D. P. Lacerda, et al., “Interaction of gold nanoparticles with common human blood proteins,” ACS Nano, vol. 4, no. 1, pp. 365–379, 2010. DOI: 10.1021/nn9011187.
   PubMed Web of Science ®Google Scholar
• S. Kumar and K. Sharma, “Entropy optimized radiative heat transfer of hybrid nanofluid over vertical moving rotating disk with partial slip,” Chinese J. Phys., vol. 77, November 2021, pp. 861–873, 2022. DOI: 10.1016/j.cjph.2022.03.006.
   Google Scholar
• F. Shahzad, et al., “MHD pulsatile flow of blood-based silver and gold nanoparticles between two concentric cylinders,” Symmetry (Basel), vol. 14, no. 11, pp. 2254, 2022. DOI: 10.3390/sym14112254.
   Google Scholar
• K. Sakkaravarthi and P. B. A. Reddy, “Entropy generation on Casson hybrid nanofluid over a curved stretching sheet with convective boundary condition: semi-analytical and numerical simulations,” Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci., vol. 237, no. 2, pp. 465–481, 2023. DOI: 10.1177/09544062221119055.
   Web of Science ®Google Scholar
• M. K. Murthy, “Effects of heat and mass flux conditions on magnetohydrodynamics flow of Casson fluid over a curved stretching surface,” DDF, vol. 392, pp. 29–41, 2019. DOI: 10.4028/www.scientific.net/DDF.392.29.
   Google Scholar
• M. V. Krishna, N. A. Ahammad and A. J. Chamkha, “Radiative MHD flow of Casson hybrid nanofluid over an infinite exponentially accelerated vertical porous surface,” Case Stud. Therm. Eng., vol. 27, no. July, pp. 101229, 2021. DOI: 10.1016/j.csite.2021.101229.
   Google Scholar
• T. Hayat, S. A. Shehzad, M. Qasim and S. Obaidat, “Flow of a second grade fluid with convective boundary conditions,” Therm. Sci., vol. 15, no. SUPPL.2, pp. 253–261, 2011. DOI: 10.2298/TSCI101014058H.
   Google Scholar
• T. Hayat, S. A. Khan and A. Alsaedi, “Simulation and modeling of entropy optimized MHD flow of second grade fluid with dissipation effect,” J. Mater. Res. Technol., vol. 9, no. 5, pp. 11993–12006, 2020. DOI: 10.1016/j.jmrt.2020.07.067.
   Google Scholar
• M. Veera Krishna, N. Ameer Ahamad and A. J. Chamkha, “Hall and ion slip impacts on unsteady MHD convective rotating flow of heat generating/absorbing second grade fluid,” Alexandria Eng. J., vol. 60, no. 1, pp. 845–858, 2021. DOI: 10.1016/j.aej.2020.10.013.
   Web of Science ®Google Scholar
• Z. Raizah, A. Khan, S. H. Awan, A. Saeed, A. M. Galal and W. Weera, “Time-dependent fractional second-grade fluid flow through a channel influenced by unsteady motion of a bottom plate,” MATH, vol. 8, no. 1, pp. 423–446, 2023. DOI: 10.3934/math.2023020.
   Google Scholar
• K. Sharma and S. Kumar, “Impacts of low oscillating magnetic field on ferrofluid flow over upward/downward moving rotating disk with effects of nanoparticle diameter and nanolayer,” J. Magn. Magn. Mater., vol. 575, no. April, pp. 170720, 2023. DOI: 10.1016/j.jmmm.2023.170720.
   Google Scholar
• S. R. R. Reddy and P. B. Anki Reddy, “Thermal radiation effect on unsteady three-dimensional MHD flow of micropolar fluid over a horizontal surface of a parabola of revolution,” Propuls. Power Res., vol. 11, no. 1, pp. 129–142, 2022. DOI: 10.1016/j.jppr.2022.01.001.
   Web of Science ®Google Scholar
• S. Nadeem, R. U. Haq and Z. H. Khan, “Numerical study of MHD boundary layer flow of a Maxwell fluid past a stretching sheet in the presence of nanoparticles,” J. Taiwan Inst. Chem. Eng., vol. 45, no. 1, pp. 121–126, Jan. 2014. DOI: 10.1016/j.jtice.2013.04.006.
   Web of Science ®Google Scholar
• M. Hamid, M. Usman, R. Ul Haq and Z. Tian, “A Galerkin approach to analyze MHD flow of nanofluid along converging/diverging channels,” Arch. Appl. Mech., vol. 91, no. 5, pp. 1907–1924, 2021. DOI: 10.1007/s00419-020-01861-6.
   Web of Science ®Google Scholar
• S. Suneetha, K. Subbarayudu and P. B. A. Reddy, “Hybrid nanofluids development and benefits : a comprehensive review,” vol. 8, no. 3, pp. 1–11, 2022. DOI: 10.14744/jten.2022.0000.
   Google Scholar
• P. Valsamy, D. Sheela and N. P. Ratchagar, “MHD unsteady thermal radiation transfer of mass under the porous oscillatory stretching surface impact of source/sink,” Int. J. Mech. Engng., vol. 7, no. 2, pp. 782–789, 2022.
   Google Scholar
• M. Mustafa, “MHD nanofluid flow over a rotating disk with partial slip effects: Buongiorno model,” Int. J. Heat Mass Transf., vol. 108, pp. 1910–1916, 2017. DOI: 10.1016/j.ijheatmasstransfer.2017.01.064.
   Web of Science ®Google Scholar
• G. Palani and A. Arutchelvi, “Radiation and magnetohydrodynamic effects on convective nanofluid past an inclined plate in the presence of a chemical reaction,” Int. J. Appl. Mech. Eng., vol. 27, no. 3, pp. 115–126, 2022. DOI: 10.2478/ijame-2022-0039.
   Google Scholar
• T. Hayat, S. Asad, M. Mustafa and A. Alsaedi, “MHD stagnation-point flow of Jeffrey fluid over a convectively heated stretching sheet,” Comput. Fluid., vol. 108, pp. 179–185, 2015. DOI: 10.1016/j.compfluid.2014.11.016.
   Web of Science ®Google Scholar
• N. Vijay and K. Sharma, “Entropy generation analysis in MHD hybrid nanofluid flow: effect of thermal radiation and chemical reaction,” Numer. Heat Transf. Part B Fundam., vol. 84, no. 1, pp. 66–82, Jul. 2023. DOI: 10.1080/10407790.2023.2186989.
   Web of Science ®Google Scholar
• E. H. Aly and A. Ebaid, “MHD Marangoni boundary layer problem for hybrid nanofluids with thermal radiation,” HFF, vol. 31, no. 3, pp. 897–913, 2021. DOI: 10.1108/HFF-05-2020-0245.
   Web of Science ®Google Scholar
• K. Sharma, I. L. Animasaun and Q. M. Al-Mdallal, “Scrutinization of ferrohydrodynamic through pores on the surface of disk experiencing rotation: effects of FHD interaction, thermal radiation, and internal heat source,” Arab. J. Sci. Eng., 2023. DOI: 10.1007/s13369-023-07853-2.
   PubMed Web of Science ®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 magneto-hydrodynamic flow and heat transfer of a hybrid nanofluid in a rotating system among t,” AIP Adv., vol. 9, no. 2, 2019. DOI: 10.1063/1.5086247.
   Web of Science ®Google Scholar
• N. A. Zainal, “MHD flow and heat transfer of hybrid nano fluid over a permeable moving surface in the presence of thermal radiation,” 2020. DOI: 10.1108/HFF-03-2020-0126.
   Google Scholar
• A. Bejan, “A study of entropy generation in fundamental convective heat transfer,” J. Heat Transfer, vol. 101, no. 4, pp. 718–725, 1979. DOI: 10.1115/1.3451063.
   Web of Science ®Google Scholar
• N. Feroz, Z. Shah, S. Islam, E. O. Alzahrani and W. Khan, “Entropy generation of carbon nanotubes flow in a rotating channel with hall and ion-slip effect using effective thermal conductivity model,” Entropy, vol. 21, no. 1, pp. 52, 2019. DOI: 10.3390/e21010052.
   PubMed Web of Science ®Google Scholar
• A. Shahsavar, P. Talebizadeh Sardari and D. Toghraie, “Free convection heat transfer and entropy generation analysis of water-Fe3O4/CNT hybrid nanofluid in a concentric annulus,” HFF, vol. 29, no. 3, pp. 915–934, 2019. DOI: 10.1108/HFF-08-2018-0424.
   Web of Science ®Google Scholar
• Y. X. Li, et al., “Dynamics of aluminum oxide and copper hybrid nanofluid in nonlinear mixed Marangoni convective flow with entropy generation: Applications to renewable energy,” Chinese J. Phys., vol. 73, no. June, pp. 275–287, 2021. DOI: 10.1016/j.cjph.2021.06.004.
   Google Scholar
• J. Raza, F. Mebarek-Oudina, P. Ram and S. Sharma, “MHD flow of non-Newtonian molybdenum disulfide nanofluid in a converging/diverging channel with Rosseland radiation,” DDF, vol. 401, pp. 92–106, 2020. DOI: 10.4028/www.scientific.net/DDF.401.92.
   Google Scholar
• A. Saeed, N. Khan, T. Gul, W. Kumam, W. Alghamdi and P. Kumam, “The Flow of Blood-Based Hybrid Nanofluids with Couple Stresses by the Convergent and Divergent Channel for the,” pp. 1–23, 2021.
   Google Scholar
• T. Hayat, M. Nawaz, S. Asghar and A. A. Hendi, “Series solution for flow of a second-grade fluid in a divergent-convergent channel,” Can. J. Phys., vol. 88, no. 12, pp. 911–917, 2010. DOI: 10.1139/p10-090.
   Web of Science ®Google Scholar
• Umar, Khan, Naveed, Ahmed, Syed Tauseef, Mohyud-Din,   Adnan, “Soret and Dufour effects on Jeffery-Hamel flow of second-grade fluid between convergent/divergent channel with stretchable walls,” Results Phys., vol. 7, pp. 361–372, 2017, DOI: 10.1016/j.rinp.2016.12.020.
   Web of Science ®Google Scholar
• G. K. Ramesh, S. A. Shehzad and I. Tlili, “Hybrid nanomaterial flow and heat transport in a stretchable convergent/divergent channel: a Darcy-Forchheimer model,” Appl. Math. Mech.-Engl. Ed., vol. 41, no. 5, pp. 699–710, 2020. DOI: 10.1007/s10483-020-2605-7.
   Google Scholar
• S. Jakeer and P. Bala Anki Reddy, “Entropy generation on EMHD stagnation point flow of hybrid nanofluid over a stretching sheet: homotopy perturbation solution,” Phys. Scr., vol. 95, no. 12, pp. 125203, 2020. DOI: 10.1088/1402-4896/abc03c.
   Web of Science ®Google Scholar
• M. Vijatha and P. B. A. Reddy, “Comparative analysis on magnetohydrodynamic flow of non-Newtonian hybrid nanofluid over a stretching cylinder: entropy generation,” Proc. Inst. Mech. Eng. Part E J. Process Mech. Eng., pp. 095440892210932, 2022. DOI: 10.1177/09544089221093296.
   Web of Science ®Google Scholar
• D. Lu, M. Ramzan, S. Ahmad, A. Shafee and M. Suleman, “Impact of nonlinear thermal radiation and entropy optimization coatings with hybrid nanoliquid flow past a curved stretched surface,” Coatings, vol. 8, no. 12, pp. 430, 2018. DOI: 10.3390/coatings8120430.
   Web of Science ®Google Scholar
• H. Hashim, “Entropy generation and heat transport in Carreau nano uids ow within a converging/diverging enclosure,” pp. 0–24, 2022.
   Google Scholar
• X. Li, et al., “Thermal performance of iron oxide and copper (Fe3O4, Cu) in hybrid nanofluid flow of Casson material with Hall current via complex wavy channel,” Mater. Sci. Eng. B Solid-State Mater. Adv. Technol., vol. 289, no. January, pp. 116250, 2023. DOI: 10.1016/j.mseb.2022.116250.
   Google Scholar