Entropy generation on magneto-hydro-dynamics Eyring-Powell hybrid nanofluid flow over a curved stretching sheet with shape factors and the Cattaneo-Christov heat flux model: A comparative study

Document Type : Research Article

Authors

1 Department of Mathematics, School of Advanced Sciences (SAS), Vellore Institute of Technology (VIT), Vellore, India.

2 Present address: Department of Mathematics, St. Peter's Engineering College, Medchal, Dhulapally, Hyderabad, Telangana, India.

10.24200/sci.2024.61292.7237

Abstract

This article focuses on the influence of the shape factor of entropy generation on the Magneto-Hydro- Dynamics (MHD) flow of an Eyring-Powell hybrid nanofluid past a permeable, curved stretched sheet with Cattaneo-Christov heat flux. Using the Homotopy Perturbation Method (HPM) and the shooting method, the governing nonlinear coupled Partial Differential Equations (PDEs) are converted into Ordinary Differential Equations (ODEs) with similarity variables and solved (Runge-Kutta (R-K) 4th order). Magnetic field (M), mixed convection (λ), Eyring-Powell fluid, thermal relaxation ( ), curvature, and thermal radiation are studied and represented in terms of velocity, temperature, entropy production, Bejan number, heat transfer, and coefficients of skin friction. To compare outcomes, we employ the HPM. The HPM produces more precise and reliable results than the numerical method. When M affected the hybrid nanofluid as it increased over a curved stretching sheet, the velocity profile decreased. In actuality, the Lorentz force increases as the M value increases. In the presence of a curved stretching sheet, the velocity profile also decreases as a result of increased magnetic parameters. In the three shapes, the temperature profile rises with increasing thermal radiation values. This model is utilized in biological applications such as Magnetic Resonance Imaging (MRI), Radio-Frequency Ablation (RFA), and cancer therapy.

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References
1. Choi, S.U.S. “Enhancing thermal conductivity of fluids with nanoparticles”, International Mechanical Engineering Congress and Exposition (IMECE), pp. 99- 105 (1995). https://doi.org/10.1115/IMECE1995-0926
2. Saba, F., Ahmed, N., Khan, U., et al. “A novel coupling of (CNT-Fe3O4/H2O) hybrid nanofluid for improvements in heat transfer for flow in an asymmetric channel with dilating/squeezing walls”, Int. J. Heat Mass Transf., 136, pp. 186-195 (2019). https://doi.org/10.1016/j.ijheatmasstransfer.2019.02.097
3. Madhukesh, J.K., Naveen Kumar, R., Punith Gowda, R.J., et al. “Numerical simulation of AA7072- AA7075/water-based hybrid nanofluid flow over a curved stretching sheet with Newtonian heating: A non- Fourier heat flux model approach”, J. Mol. Liq., 335, 116103 (2021). https://doi.org/10.1016/j.molliq.2021.116103
4. Shah, M., Badwaik, V.D., and Dakshinamurthy, R. “Biological applications of gold nanoparticles”, J. Nanosci, Nanotechnol, 14(1), pp. 344-362 (2014). https://doi.org/10.1039/B712170A
5. Lacerda, S.H.D.P., Park, J.J., Meuse, C., et al. “Interaction of gold nanoparticles with common human blood proteins”, ACS Nano, 4(1), pp. 365-379 (2010). https://doi.org/10.1021/nn9011187
6. Kumar, K.G., Reddy, M.G., Vijaya Kumari, P., et al. “Application of different hybrid nanofluids in convective heat transport of Carreau fluid”, Chaos, Solitons and Fractals, 141, 110350 (2020). https://doi.org/10.1016/j.chaos.2020.110350
7. Abbas, N., Ur Rehman, K., Shatanawi, W., et al. “Numerical study of heat transfer in hybrid nanofluid flow over permeable nonlinear stretching curved surface with thermal slip”, Int. Commun. Heat Mass Transf., 135, 106107 (2022). https://doi.org/10.1016/j.icheatmasstransfer.2022.106107
8. Babu, M.J., Rao, Y.S., Kumar, A.S., et al. “Squeezed flow of polyethylene glycol and water-based hybrid nanofluid over a magnetized sensor surface: A statistical approach”, Int. Commun. Heat Mass Transf., 135, 106136 (2022). https://doi.org/10.1016/j.icheatmasstransfer.2022.106136
9. Asogwa, K.K. and Shankar Goud, B. “Impact of velocity slip and heat source on tangent hyperbolic nanofluid flow over an electromagnetic surface with Soret effect and variable suction/injection”, Proc. Inst. Mech. Eng. Part E, J. Process Mech. Eng., 273(3) (2022). https://doi.org/10.1177/09544089221106662
10. Sajjan, K., Shah, N.A., Ameer Ahammad, N., et al. “Nonlinear Boussinesq and Rosseland approximations on 3D flow in an interruption of Ternary nanoparticles with various shapes of densities and conductivity properties”, AIMS Math., 7(10), pp. 18416-18449 (2022). https://doi.org/10.3934/math.20221014
11. Mahabaleshwar, U.S., Sneha, K.N., and Huang, H.N. “An effect of MHD and radiation on CNTS-Water based nanofluids due to a stretching sheet in a Newtonian fluid”, Case Stud. Therm. Eng., 28, 101462 (2021). https://doi.org/10.1016/j.csite.2021.101462
12. Islam, S., Jawad, M., Gokul, K.C., et al. “Entropy optimization in MHD nanofluid flow over a curved exponentially stretching surface with binary chemical reaction and Arrhenius activation energy”, J. Phys. Commun., 4(7), pp. 1-25 (2020).
https://doi.org/10.1088/2399-6528/aba635
13. Sakkaravarthi, K. and Reddy, P.B.A. “Entropy optimization of MHD hybrid nanofluid flow through a curved stretching sheet with thermal radiation and heat generation: Semi-analytical and numerical simulations”, Proc. Inst. Mech. Eng. Part E, J. Process Mech. Eng., 237(2), pp. 138-148 (2022). https://doi.org/10.1177/09544089221100222
14. Jalili, B., Jalili, P., Sadighi, S., et al. “Effect of magnetic and boundary parameters on flow characteristics analysis of micropolar ferrofluid through the shrinking sheet with effective thermal conductivity”, Chinese J. Phys., 71, pp. 136-150 (2021). https://doi.org/10.1016/j.cjph.2020.02.034
15. Reddy, S.C., Asogwa, K.K., Yassen, M.F., et al. “Dynamics of MHD second-grade nanofluid flow with activation energy across a curved stretching surface”, Front. Energy Res., 10 (2022). https://doi.org/10.3389/fenrg.2022.1007159
16. Rauf, A., Ali Shah, N., Mushtaq, A., et al. “Heat transport and magnetohydrodynamic hybrid micropolar ferrofluid flow over a non-linearly stretching sheet”, AIMS Math., 8(1), pp. 164-193 (2023). https://doi.org/10.3934/math.2023008
17. Ashraf, M.Z., Rehman, S.U., Farid, S., et al. “Insight into significance of bioconvection on MHD tangent hyperbolic nanofluid flow of irregular thickness across a slender elastic surface”, Mathematics, 10(15), 2592 (2022). https://doi.org/10.3390/math10152592
18. Jakeer, Sh. and Bala Anki Reddy, P. “Competence of magnetic dipole and radiation on permeable surface using prescribed heat flux/prescribed surface temperature and homogeneous-heterogeneous reactions”, Spec. Top. Rev. Porous Media an Int. J., 12(6), pp. 91-107 (2021). https://doi.org/10.1615/SpecialTopicsRevPorousMedia.2021035431
19. Ahmed, N., Saba, F., Khan, U., et al. “Nonlinear thermal radiation and chemical reaction effects on a (Cu-Cuo)/NaAlg hybrid nanofluid flow past a stretching curved surface”, Processes, 7(12), 962 (2019). https://doi.org/10.3390/pr7120962
20. Sakkaravarthi, K. and Reddy, P.B.A. “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., 237(2), pp. 465-481 (2022). https://doi.org/10.1177/09544062221119055
21. Jalili, P., Kazerani, K., Jalili, B., et al. “Investigation of thermal analysis and pressure drop in non-continuous helical baffle with different helix angles and hybrid nano-particles”, Case Stud. Therm. Eng., 36, 102209 (2022). https://doi.org/10.1016/j.csite.2022.102209
22. Bejan, A. “A study of entropy generation in fundamental convective heat transfer”, J. Heat Transfer, 101(4), pp. 718-725 (1979). https://doi.org/10.1115/1.3451063
23. Hayat, T., Khan, S. A., Alsaedi, A., et al., “Irreversibility analysis in Darcy-Forchheimer flow of CNTs with dissipation and Joule heating effects by a curved stretching sheet”, Appl. Nanosci., 11, pp. 187-198 (2021). https://doi.org/10.1007/s13204-020-01566-w
24. Hayat, T., Khan, S.A., Alsaedi, A., et al. “Computational analysis of heat transfer in mixed convective flow of CNTs with entropy optimization by a curved stretching sheet”, Int. Commun. Heat Mass Transf., 118, 104881 (2020). https://doi.org/10.1016/j.icheatmasstransfer.2020.104881
25. Jakeer, Sh. and Bala Anki Reddy, P. “Entropy generation on EMHD stagnation point flow of hybrid nanofluid over a stretching sheet: Homotopy perturbation solution”, Phys. Scr., 95(12), 125203 (2020). https://doi.org/10.1088/1402-4896/abc03c
26. He, J.H. “Comparison of Homotopy perturbation method and Homotopy analysis method”, Appl. Math. Comput., 156(2), pp. 527-539 (2004). https://doi.org/10.1016/j.amc.2003.08.008
27. Shqair, M. “Solution of different geometries reflected reactors neutron diffusion equation using the Homotopy perturbation method”, Results Phys., 12, pp. 61-66 (2019). https://doi.org/10.1016/j.rinp.2018.11.025
28. Okechi, N.F., Jalil, M., and Asghar, S. “Flow of viscous fluid along an exponentially stretching curved surface”, Results Phys., 7, pp. 2851-2854 (2017). https://doi.org/10.1016/j.rinp.2017.07.059
29. Ahmed, K., Khan, W.A., Akbar, T., et al. “Numerical investigation of mixed convective Williamson fluid flow over an exponentially stretching permeable curved surface”, Fluids, 6(7), 260 (2021). https://doi.org/10.3390/fluids6070260
30. Divya, A. and Reddy, P.B.A. “Electromagneto-hydrodynamic unsteady flow with entropy generation and hall current of hybrid nanofluid over a rotating disk: An application in hyperthermia therapeutic aspects”, Proc. Inst. Mech. Eng. Part C, J. Mech. Eng. Sci., 236(13) (2022). https://doi.org/10.1177/09544062221076294
Volume 32, Issue 14
Transactions on Mechanical Engineering
July and August 2025 Article ID:7237
  • Receive Date: 17 October 2022
  • Revise Date: 01 March 2023
  • Accept Date: 17 January 2024