This paper deals with the AA7075-AA7072/methanol hybrid nanofluid flow incorporated with the Eyring-Powell model. The fluid flows over a shrinking cylinder subject to magnetohydrodynamic (MHD), Joule heating, and viscous dissipation. The governing equations are transformed into similarity equations by employing suitable similarity transformations. Then, MATLAB software is used to program the code with the aid of the bvp4c function. The findings prove that the dual solutions are generated for a certain domain of shrinking parameters. Besides, higher values of heat transfer and skin friction are obtained by the imposition of the magnetic and Eyring- Powell fluid parameters. However, the heat transfer is reduced in the presence of viscous dissipation with a higher Eckert number.

dual solutions, Eyring-Powell hybrid nanofluid, shrinking cylinder, viscous dissipation

Received: July 25, 2024; Revised: August 15, 2024; Accepted: August 27, 2024; Published: October 3, 2024

How to cite this article: Iskandar Waini, Umair Khan, Aurang Zaib, Anuar Ishak and Ioan Pop, Flow of Eyring-Powell hybrid nanofluid on a shrinking cylinder with Joule heating and viscous dissipation, JP Journal of Heat and Mass Transfer 37(5) (2024), 667-684. https://doi.org/10.17654/0973576324042

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

References:
[1] T. Hayat, Z. Hussain, M. Farooq and A. Alsaedi, Magnetohydrodynamic flow of Powell-Eyring fluid by a stretching cylinder with Newtonian heating, Thermal Science 22 (2018), 371-382.
[2] R. E. Powell and H. Eyring, Mechanisms for the relaxation theory of viscosity, Nature 154 (1944), 427-428.
[3] H. K. Yoon and A. J. Ghajar, A note on the Powell-Eyring fluid model, International Communications in Heat and Mass Transfer 14 (1987), 381-390.
[4] A. Riaz, R. Ellahi, M. M. Bhatti and M. Marin, Study of heat and mass transfer in the Eyring-Powell model of fluid propagating peristaltically through a rectangular compliant channel, Heat Transfer Research 50 (2019), 1539-1560.
[5] M. M. Bhatti, T. Abbas, M. M. Rashidi, M. Ali and Z. Yang, Entropy generation on MHD Eyring-Powell nanofluid through a permeable stretching surface, Entropy 18 (2016), 224.
[6] A. Riaz, R. Ellahi and S. M. Sait, Role of hybrid nanoparticles in thermal performance of peristaltic flow of Eyring-Powell fluid model, Journal of Thermal Analysis and Calorimetry 143 (2021), 1021-1035.
[7] A. V. Roşca and I. Pop, Flow and heat transfer of Powell-Eyring fluid over a shrinking surface in a parallel free stream, International Journal of Heat and Mass Transfer 71 (2014), 321-327.
[8] M. Jalil, S. Asghar and S. M. Imran, Self similar solutions for the flow and heat transfer of Powell-Eyring fluid over a moving surface in a parallel free stream, International Journal of Heat and Mass Transfer 65 (2013), 73-79.
[9] A. Ara, N. A. Khan, H. Khan and F. Sultan, Radiation effect on boundary layer flow of an Eyring-Powell fluid over an exponentially shrinking sheet, Ain Shams Engineering Journal 5 (2014), 1337-1342.
[10] N. S. Akbar, A. Ebaid and Z. H. Khan, Numerical analysis of magnetic field effects on Eyring-Powell fluid flow towards a stretching sheet, Journal of Magnetism and Magnetic Materials 382 (2015), 355-358.
[11] E. O. Fatunmbi and A. T. Adeosun, Nonlinear radiative Eyring-Powell nanofluid flow along a vertical Riga plate with exponential varying viscosity and chemical reaction, International Communications in Heat and Mass Transfer 119 (2020), 104913.
[12] T. M. Agbaje, S. Mondal, S. S. Motsa and P. Sibanda, A numerical study of unsteady non-Newtonian Powell-Eyring nanofluid flow over a shrinking sheet with heat generation and thermal radiation, Alexandria Engineering Journal 56 (2017), 81-91.
[13] A. Aljabali, A. R. M. Kasim, N. S. Arifin, S. Mohamad Isa and N. A. N. Ariffin, Analysis of convective transport of temperature-dependent viscosity for non-Newtonian Eyring-Powell fluid: a numerical approach, Computers, Materials and Continua 66 (2021), 675-689.
[14] I. Waini, A. Ishak and I. Pop, Eyring-Powell fluid flow past a shrinking sheet: Effect of magnetohydrodynamic (MHD) and Joule heating, Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 116(1) (2024), 64-77.
[15] C. Wang, Axisymmetric stagnation flow on a cylinder, Quarterly of Applied Mathematics 32 (1974), 207-213.
[16] C. Y. Wang, Fluid flow due to a stretching cylinder, Phys. Fluids 31 (1988), 466.
[17] A. Ishak, R. Nazar and I. Pop, Uniform suction/blowing effect on flow and heat transfer due to a stretching cylinder, Applied Mathematical Modelling 32 (2008), 2059-2066.
[18] I. S. Awaludin, R. Ahmad and A. Ishak, On the stability of the flow over a shrinking cylinder with prescribed surface heat flux, Propulsion and Power Research 9(2) (2020), 181-187.
[19] N. C. Roy and A. Akter, Dual solutions of mixed convective hybrid nanofluid flow over a shrinking cylinder placed in a porous medium, Heliyon 9(11) (2023), e22166.
[20] S. U. S. Choi and J. A. Eastman, Enhancing thermal conductivity of fluids with nanoparticles, Proceedings of the 1995 ASME International Mechanical Engineering Congress and Exposition, FED 231/MD, Vol. 66, 1995, pp. 99-105.
[21] B. C. Pak and Young I. Cho, Hydrodynamic and heat transfer study of dispersed fluids with submicron metallic oxide, Experimental Heat Transfer 11 (1998), 151 170.
[22] C. J. Ho, W. K. Liu, Y. S. Chang and C. C. Lin, Natural convection heat transfer of alumina-water nanofluid in vertical square enclosures: an experimental study, International Journal of Thermal Sciences 49 (2010), 1345-1353.
[23] B. Takabi and S. Salehi, Augmentation of the heat transfer performance of a sinusoidal corrugated enclosure by employing hybrid nanofluid, Advances in Mechanical Engineering 6 (2014), 147059.
[24] U. Khan, A. Zaib, A. Ishak, E.-S. M. Sherif, I. Waini, Y.-M. Chu and I. Pop, Radiative mixed convective flow induced by hybrid nanofluid over a porous vertical cylinder in a porous media with irregular heat sink/source, Case Studies in Thermal Engineering 30 (2022), 101711.
[25] N. S. Khashi’ie, I. Waini, S. M. Zokri, A. R. M. Kasim, N. M. Arifin and I. Pop, Stagnation point flow of a second grade hybrid nanofluid induced by a Riga plate, International Journal of Numerical Methods for Heat and Fluid Flow 32 (2021), 2221-2239.
[26] B. Mahanthesh, S. A. Shehzad, T. Ambreen and S. U. Khan, Significance of Joule heating and viscous heating on heat transport of MoS2-Ag hybrid nanofluid past an isothermal wedge, Journal of Thermal Analysis and Calorimetry 143 (2021), 1221-1229.
[27] M. Ghalambaz, N. C. Rosca, A. V. Rosca and I. Pop, Mixed convection and stability analysis of stagnation-point boundary layer flow and heat transfer of hybrid nanofluids over a vertical plate, International Journal of Numerical Methods for Heat and Fluid Flow 30 (2020), 3737-3754.
[28] I. Waini, A. Ishak and I. Pop, Hybrid nanofluid flow on a shrinking cylinder with prescribed surface heat flux, International Journal of Numerical Methods for Heat and Fluid Flow 31 (2021), 1987-2004.
[29] I. Waini, A. Ishak and I. Pop, Hybrid nanofluid flow over a permeable non- isothermal shrinking surface, Mathematics 9 (2021), 538.
[30] A. Mokhefi and E. R. di Schio, Effect of a magnetic field on the Couette forced convection of a Buongiorno’s nanofluid over an embedded cavity, JP Journal of Heat and Mass Transfer 30 (2022), 89-104.
[31] A. K. Pati, A. Misra, S. K. Mishra, S. Mishra, R. Sahu and S. Panda, Computational modelling of heat and mass transfer optimization in copper water nanofluid flow with nanoparticle ionization, JP Journal of Heat and Mass Transfer 31 (2023), 1-18.
[32] N. A. Rahman, N. S. Khashi’ie, K. B. Hamzah, N. A. Zainal, I. Waini and I. Pop, Axisymmetric hybrid nanofluid flow over a radially shrinking disk with heat generation and magnetic field effects, JP Journal of Heat and Mass Transfer 37(3) (2024), 365-375.
[33] A. Wakif, A. Chamkha, T. Thumma, I. L. Animasaun and R. Sehaqui, Thermal radiation and surface roughness effects on the thermo-magneto-hydrodynamic stability of alumina-copper oxide hybrid nanofluids utilizing the generalized Buongiorno’s nanofluid model, Journal of Thermal Analysis and Calorimetry 143 (2021), 1201-1220
[34] H. Waqas, U. Farooq, R. Naseem, S. Hussain and M. Alghamdi, Impact of MHD radiative flow of hybrid nanofluid over a rotating disk, Case Studies in Thermal Engineering 26 (2021), 101015.
[35] S. Rosseland, Astrophysik und atom-theoretische Grundlagen, Springer-Verlag, Berlin, 1931.
[36] M. Rooman, M. A. Jan, Z. Shah, N. Vrinceanu, S. Ferrándiz Bou, S. Iqbal and W. Deebani, Entropy optimization on axisymmetric Darcy-Forchheimer Powell-Eyring nanofluid over a horizontally stretching cylinder with viscous dissipation effect, Coatings 12 (2022), 749.
[37] H. A. Ogunseye, Y. O. Tijani and P. Sibanda, Entropy generation in an unsteady Eyring‐Powell hybrid nanofluid flow over a permeable surface: a Lie group analysis, Heat Transfer 49 (2020), 3374-3390.
[38] I. Waini, A. Ishak and I. Pop, Hybrid nanofluid flow towards a stagnation point on a stretching/shrinking cylinder, Scientific Reports 10 (2020), 9296.
[39] S. S. Ghadikolaei, K. Hosseinzadeh and D. D. Ganji, Investigation on magneto Eyring-Powell nanofluid flow over inclined stretching cylinder with nonlinear thermal radiation and Joule heating effect, World Journal of Engineering 16 (2019), 51-63.
[40] I. Tlili, H. A. Nabwey, G. P. Ashwinkumar and N. Sandeep, 3-D magnetohydrodynamic AA7072-AA7075/methanol hybrid nanofluid flow above an uneven thickness surface with slip effect, Scientific Reports 10 (2020), 1-13.
[41] L. F. Shampine, I. Gladwell and S. Thompson, Solving ODEs with MATLAB, Cambridge University Press, Cambridge, 2003.