NONE 20251209120708360 wseas/wseas content-registration-form+ja@crossref.org content-registration-form WSEAS TRANSACTIONS ON FLUID MECHANICS 1790-5087 2224-347X Jacob Nagler NIRC, Haifa, Givat Dowens, ISRAEL We develop a compact analytical model for steady, axisymmetric flow of a power-law (non-Newtonian) fluid through a rotating, converging horizontal hollow cone. Extending the approach of [1], the model incorporates temperature-dependent rheology and particle loading through a generalized consistency index, and accommodates wall friction via Navier-slip and frictional boundary conditions on the rotating cone. The governing continuity, momentum, and energy equations are formulated in spherical coordinates and simplified under viscous-dominated asymptotic (low Reynolds number and large Ekman number). A nondimensional scaling argument justifies omission of Coriolis and centrifugal accelerations in the leading-order balance, and the azimuthal momentum equation reduces to a local torque-consistency condition that represents the distributed torque required to sustain steady rotation. The reduced formulation exposes the coupled influence of rotation, wall friction, temperature, and particulate concentration on shear rates and apparent viscosity, and identifies parameter regimes where higher-order corrections are required. 12 09 2025 12 09 2025 169 17 https://creativecommons.org/licenses/by/4.0/deed.en_US 10.37394/232013.2025.20.17 https://wseas.com/journals/fluids/2025/a345113-014(2025).pdf Rahimi, S., Durban, D., & Khosid, S., (2010). Wall friction effects and viscosity reduction of gel propellants in conical extrusion. Journal of non-newtonian fluid mechanics, 165(13- 14), 782-792. doi: 10.1016/j.jnnfm.2010.04.003. Devaud, L., Sellier, M. & Al-Behadili, AR., (2018). Consistent formulation of the powerlaw rheology and its application to the spreading of non-Newtonian droplets. Meccanica 53, 3709–3717. Nazir, U., Sohail, M., Selim, M.M., Alrabaiah, H., & Kumam, P,. (2021). Finite element simulations of hybrid nano-Carreau Yasuda fluid with hall and ion slip forces over rotating heated porous cone. Sci Rep 11, 19604. doi: 10.1038/s41598-021-99116-z. Hill, J. M., & Stokes, Y. M., (2018). A note on Navier–Stokes equations with nonorthogonal coordinates. The ANZIAM Journal 59(3), 335-348. doi: 10.1017/S144618111700058X. Aslam, M.N., Shaukat, N. & Asghar, Z., (2025). A novel heuristic-based physicsinformed neural networks (H-PINNs)-based analysis of boundary stresses on magnetohydrodynamic convective flow in a convergent/divergent channel, Eur. Phys. J. Plus 140, 574. doi: 10.1140/epjp/s13360-025- 06497-5. Abo-Eldahab, E.M. and Salem, E. M., (2004). MHD combined convection flow of a nonNewtonian power-law fluid due to a rotating cone or disk. Canadian Journal of Physics. 82(7): 531-540. doi: 10.1139/p04-029. Chhabra, R. P., & Richardson, J. F., (2011). Non-Newtonian Flow and Applied Rheology: Engineering Applications (2nd ed.). Butterworth-Heinemann. doi: 10.1016/B978- 0-7506-8532-0.X0001-7. Nadeem, S., & Saleem, S., (2014). Analytical study of rotating non-Newtonian nanofluid on a rotating cone. Journal of Thermophysics and heat transfer, 28(2), 295-302. doi: 10.2514/1.T4145. Saleem, S., & Nadeem, S., (2015). Theoretical analysis of slip flow on a rotating cone with viscous dissipation effects. Journal of Hydrodynamics, Ser. B, 27(4), 616-623. doi: 10.1016/S1001-6058(15)60523-6. Bég, O. A., Rao, A. S., Amanulla, C. H., Nagendra, N., Reddy, M. S., & Kadir, A., (2018). Numerical study of hydromagnetic non-Newtonian nanofluid transport phenomena from a horizontal cylinder with thermal slip: aerospace nanomaterial enrobing simulation. Journal of Nanofluids, 7(1), 115- 128. doi: 10.1166/jon.2018.1423. Ershadnia, R., Amooie, M. A., Shams, R., Hajirezaie, S., Liu, Y., Jamshidi, S., & Soltanian, M. R., (2020). Non-Newtonian fluid flow dynamics in rotating annular media: Physics-based and data-driven modeling. Journal of Petroleum Science and Engineering, 185, 106641. doi: 10.1016/j.petrol.2019.106641. Tripathi, J., Vasu, B., Subba Reddy Gorla, R., Chamkha, A. J., Murthy, P. V. S. N., & Anwar Beg, O., (2021). Blood flow mediated hybrid nanoparticles in human arterial system: Recent research, development and applications. Journal of Nanofluids, 10(1), 1- 30. doi: 10.1166/jon.2021.1769. Singh, S.P., Upreti, H. & Kumar, M., (2024). Flow and Heat Transfer Assessment in Magnetized Darcy-Forchheimer Flow of Casson Hybrid Nanofluid Through Cone, Wedge, and Plate. BioNanoSci. 14, 395–408. doi: 10.1007/s12668-023-01253-4. Zaman, S. U., & Ahmad, S., (2025). Numerical simulations of heat and mass transfer enhancement over a rotating cone. Heat Transfer, 54(3), 1832-1840. Munir, T., Zeb, H., Alrihieli, H. F., Kang, C., & Gamaoun, F., (2025). Convective Heat Transfer Analysis on a Magnetized Flow of Non-Newtonian Nanofluid with Multiple Slip Effects. Mathematical Methods in the Applied Sciences. doi: 10.1002/mma.10865.