Slip Effect on EMHD Tri-Hybrid Non-Newtonian Nanofluid Flow over a Porous Stretching-Slendering Sheet

Document Type : Research Paper

Authors
Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt
Abstract
The motivation of the current work is the flow over a slender surface, which includes the manufacture of optical fibers, polymer sheets, photoelectric devices, wire coatings, solar cells, and fiber sheets. In order to enhance the results of the wire coating process, it is necessary to carefully examine the mass and thermal heat transmission rates. The novelty of this study is the ability to forecast complex thermal issues in the tri-hybrid Sutterby nanofluid flow, considering the effects of electro-hydromagnetic and multi-slip circumstances. The study examines the impact of nonlinear thermal radiation, electric field, and slips in velocity, temperature, and solutal properties on the steady flow confined to two-dimensions Au-TiO2-GO/SA in the field of electro-magneto-hydrodynamics.  Employing similarity transformations, the regulatory boundary layer equations are converted to nonlinear ODEs. Following that, the resulting equations are solved using the homotopy perturbation method. Numerical simulations are performed for several physical parameter values, and the influences of numerous distributions are examined. It is observed that the thermal distribution exhibits a decreasing trend as the values of the mixed convection flow, electric field, temperature jump, and velocity slip parameters are boosted. Moreover, the Sherwood number is declining by m, De, δ1, δ2, and δ3 and rising due to the enhancement of E1, γ1, and γ3.
Keywords
Subjects

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[1] Waqas, H., Farooq, U., Muhammad, T., Hussain, S, Khan, I., Thermal effect on bioconvection flow of Sutterby fluid between two rotating disks with motile microorganisms, Case Studies in Thermal Engineering, 26, 2021, 101136.
[2] Yahya, A.U., Salamat, N., Habib, D., Ali, B., Hussain, S., Abdal, S., Implication of bio-convection and Cattaneo-Christov heat flux on Williamson Sutterby nanofluid transportation caused by a stretching surface with convective boundary, Chinese Journal of Physics, 73, 2021, 706–718.
[3] Fayyadh, M.M., Naganthran, K., Basir, M.F.M., Hashim, I., Roslan, R., Raiative MHD Sutterby nanofluid flow past a moving sheet: scaling group analysis, Mathematics, 8, 2020, 1430.
[4] Gowda, R.J.P., Kumar, R.N., Rauf, A., Prasannakumara, B.C., Shehzad, S.A., Magnetized flow of Sutterby nanofluid through Cattneo-Christov theory of heat diffusion and Stefan blowing condition, Applied Nanoscience, 13, 2023, 585–594.
[5] Aldabesh, A., Haredy, A., Al-Khaled, K., Khan, S.U., Tlili, I., Darcy resistance flow of Sutterby nanofluid with microorganisms with applications of nano-biofuel cells, Scientific Reports, 12, 2022, 7514.
[6] Moatimid, G.M., Mohamed, M.A.A., Elagamy, Kh., Sutterby nanofluid flow with microorganisms around a curved expanding surface through a porous medium: Thermal diffusion and diffusion thermo impacts, Journal of Porous Media, 27, 2024, 19-48.
[7] Moatimid, G.M., Elgazery, N. S., Mohamed, M.A.A., Elagamy, Kh., Bio-Convection flow of Sutterby nanofluid with motile microbes on stretchable sheet: Exponentially varying viscosity, Journal of Applied and Computational Mechanics, 10(3), 2024, 488-502.
[8] Khan, M.I., Waqas, H., Farooq, U., Khan, S.U., Chu, Y.M., Kadry, S., Assessment of bioconvection in magnetized Sutterby nanofluid configured by a rotating disk: A Numerical Approach, Modern Physics Letters B, 35, 2021, 2150202.
[9] Sohail, M., Naz, R., Modified Heat and mass transmission models in the magnetohydrodynamic flow of Sutterby fluid flow in stretching cylinder, Physica A: Statistical Mechanics and its Applications, 549, 2020, 124088.
[10] Baithalu, R., Mishra, S.R., Pattnaik, P.K., Panda, S., Optimizing shear and couple stress analysis for the magneto‑micropolar dissipative nanofluid flow toward an elongating surface: A comprehensive RSM‑ANOVA investigation, Journal of Thermal Analysis and Calorimetry, 149, 2024, 1697–1713.
[11] Shaoa, W., Baithalu, R., Mishra, S.R., Dogonchi, A.S., Ali R., Chamkha, A.J., Galal, A.M., Statistical approach on optimizing heat transfer rate for Au/Fe3O4- blood nanofluid flow with entropy analysis used in drug delivery system, Case Studies in Thermal Engineering, 54, 2024, 104008.
[12] Ali, F., Loganathan, K., Prabu, E., Eswaramoorthi, S., Faizan, M., Zaib, A., Chaudhary, D.K., Entropy minimization on Sutterby nanofluid past a stretching surface with swimming of gyrotactic microorganisms and nanoparticles, Mathematical Problems in Engineering, 2021, 2021, 5759671.
[13] Baithalu, R., Mishra, S.R., Shah, N.A., Sensitivity analysis of various factors on the micropolar hybrid nanofluid flow with optimized heat transfer rate using response surface methodology: Statistical approach, Physics of Fluids, 35, 2023, 102016.
[14] El-Dabe, N.T.M., Moatimid, G.M., Mohamed, M.A.A., Mohamed, Y.M., A couple stress of peristaltic motion of Sutterby micropolar nanofluid inside a symmetric channel with a strong magnetic field and Hall currents effect, Archive of Applied Mechanics, 91, 2021, 3987–4010.
[15] Ali, e.B., Sharif, H., Habib, D., Ghazwani, H.A., Saman, I., Yang, H., Significance of tri-hybrid nanoparticles in thermal management subject to magnetized squeezing flow of a Boger-micropolar nanofluid between concentering disks, Journal of Molecular Liquids, 397(3), 2024, 124141.
[16] Raza, Q., Wang, X., Ali, B., Eldin, S.M., Yang H., Siddique, I., Role of nanolayer on the dynamics of tri-hybrid nanofluid subject to gyrotactic microorganisms and nanoparticles morphology via two porous disks, Case Studies in Thermal Engineering, 51, 2023, 103534.
[17] Shinwari, W., Hayat, T., Abbas, Z., Momani, S., Numerical study for trihybrid nanomaterial flow by convectively heated curved sheet, Case Studies in Thermal Engineering, 53, 2024, 103962.
[18] Hou, E., Wang, F., Nazir, U., Sohail, M., Jabbar, N., Thounthong, P., Dynamics of tri-hybrid nanoparticles in the rheology of pseudo-plastic liquid with Dufour and Soret effects, Micromachines, 13(2), 2022, 201.
[19] Yang, D., Ahmad, S., Ali, K., Algarni, S., Alqahtani, T., Jamshed W., Hussain, S.M., Irshad, K., and Ahmad, H., CFD analysis of paraffin-based hybrid (Co–Au) and trihybrid (Co–Au–ZrO2) nanofluid flow through a porous medium, Nanotechnology Reviews, 13, 2024, 20240024.
[20] Arif, M., Persio L.D., Kumam, P., Watthayu W., Akgül A., Heat transfer analysis of fractional model of couple stress Casson tri-hybrid nanofluid using dissimilar shape nanoparticles in blood with biomedical applications, Scientific Reports, 13, 2023, 4596.
[21] Baithalu, R., Mishra, S.R., On Optimizing Shear Rate Analysis for the water‑based CNT micropolar nanofluids via an elongating surface: Response surface methodology combined with ANOVA test, Journal of Thermal Analysis and Calorimetry, 148, 2023, 14275–14294.
[22] Panda, S., Baag, A.P., Pattnaik, P.K., Baithalu, R., Mishra S.R., Artificial neural network approach to simulate the impact of concentration in optimizing heat transfer rate on water-based hybrid nanofluid under slip conditions: A regression analysis, Numerical Heat Transfer, Part B: Fundamentals, 2024, 1-23. https://doi.org/10.1080/10407790.2024.2333944.
[23] Sagheera, S., Razzaq, R., Vafaia, K., Local non-similar solutions for EMHD nanofluid flow with radiation and variable heat flux along slandering stretching sheet, Numerical Heat Transfer, Part B: Fundamentals, 2024. https://doi.org/10.1080/10407782.2024.2360082.
[24] Bhatti, M.M., Bég, O.A., Ellahi, R., Doranehgard, M.H., Rabiei, F., Electro-magnetohydrodynamics hybrid nanofluid flow with gold and magnesium oxide nanoparticles through vertical parallel plates, Journal of Magnetism and Magnetic Materials, 564, 2022, 170136.
[25] Kanwal, A., Khan A.A., Sait, S.M., Ellahi, R., Heat transfer analysis of magnetohydrodynamics peristaltic fluid with inhomogeneous solid particles and variable thermal conductivity through curved passageway, International Journal of Numerical Methods for Heat & Fluid Flow, 34(4), 2024, 1884-1902.
[26] Bau, H.H., Applications of magneto electrochemistry and magnetohydrodynamics in microfluidics, Magnetochemistry, 8(11), 2022, 140.
[27] Kiamari, M., Sadooghi N., Jafari M.S., Relativistic magnetohydrodynamics of a spinful and vortical fluid: Entropy current analysis, Physical Review D, 109, 2024, 036024.
[28] Kundu, B., Saha, S., Review and analysis of electro-magnetohydrodynamic flow and heat transport in microchannels, Energies, 15, 2022, 7017.
[29] He, J-H., Homotopy perturbation technique, Computer Methods in Applied Mechanics and Engineering, 178(3), 1999, 257-262.
[30] He, J-H., A coupling method of a homotopy technique and a perturbation technique for non-linear problems, International Journal of Non-Linear Mechanics, 35(1), 2000, 37-43.
[31] He, J-H., Homotopy perturbation method: A new nonlinear analytical technique, Computational and Applied Mathematics, 135(1), 2003, 73-79.
[32] He J-H., Moatimid G.M., Mohamed, M.A.A., Elagamy, Kh., Unsteady MHD flow in a rotating annular region with homogeneous–heterogeneous chemical reactions of Walters’ B fluids: Time-periodic boundary criteria, International Journal of Modern Physics B, 38(14), 2024, 2450169.
[33] Moatimid, G.M., Mohamed, M.A.A., and Elagamy, Kh., Microorganisms peristaltic transport within a Carreau nanofluid through a modified Darcy porous medium, Special Topics and Reviews in Porous Media, 14(5), 2023, 1-30.
[34] Moatimid, G.M., Mohamed, M.A.A., and Elagamy, Kh., A Williamson nanofluid with motile microorganisms across a vertical exponentially stretching porous sheet with varying thermal characteristics, Special Topics and Reviews in Porous Media, 15(1), 2024, 67–98.
[35] Moatimid, G.M., Mohamed, M.A.A., and Elagamy, Kh., Prandtl-Eyring couple stressed flow within a porous region counting homogeneous and heterogeneous reactions across a stretched porous sheet, Partial Differential Equations in Applied Mathematics, 10, 2024, 100706.
[36] Zangooee, M.R., Hosseinzadeh, Kh., Ganji, D.D., Hydrothermal analysis of MHD nanofluid (TiO2-GO) flow between two radiative stretchable rotating disks using AGM, Case Studies in Thermal Engineering, 14, 2019, 100460.
[37] Alwawi, F.A., Alkasasbeh, H.T., Rashad, A.M., Idris, R., MHD natural convection of Sodium Alginate Casson nanofluid over a solid sphere, Results in Physics, 16, 2020, 102818.
[38] Sayed, H.M., Aly, E.H., Tharwat, M.M., Mahros, A.M., Melting heat transfer and entropy analysis of ternary Casson nanofluids flow with second slip conditions: Application on rocket engine cooling, Alexandria Engineering Journal, 102, 2024, 10–25.
[39] Das, S.S., Ali, A., Jana, R.N., Makinde, O.D., EDL impact on mixed magneto-convection in a vertical channel using ternary hybrid nanofluid, Chemical Engineering Journal Advances, 12, 2022, 100412.
[40] Babu, M.J., Sandeep, N., 3D MHD slip flow of a nanofluid over a slendering stretching sheet with thermophoresis and Brownian motion effects, Journal of Molecular Liquids, 222, 2016, 1003–1009.
[41] Vajravelu, K., Dewasurendral, M., Prasad, K.V., Mixed convective boundary layer MHD flow along a vertical elastic sheet, International Journal of Applied and Computational Mathematics, 3, 2017, 2501–2518.
[42] Ramana Reddy, J.V., Sugunamma, V., Sandeep, N., Thermophoresis and Brownian motion effects on unsteady MHD nanofluid flow over a slandering stretching surface with slip effects, Alexandria Engineering Journal, 57, 2018, 2465–2473.
[43] Khan, M., Rasheed, A., Slip velocity and temperature jump effects on molybdenum disulfide MoS2 and silicon oxide SiO2 hybrid nanofluid near irregular 3D surface, Alexandria Engineering Journal, 60, 2021, 1689–1701.
[44] Salahuddin, T., Ali, Z., Awais, M., Khan, M., Altanji, M., A flow behavior of Sutterby nanofluid near the catalytic parabolic surface, International Communications in Heat and Mass Transfer, 131, 2022, 105821.
[45] Faisal, M., Mabood, F., Badruddin, I.A., Aiyaz, M., Butt, F.M., Entropic behavior with activation energy in the dynamics of hyperbolic-tangent mixed-convective nanomaterial due to a vertical slandering surface, Multidiscipline Modeling in Materials and Structures, 20(2), 2024, 341-362.