Turbulent Flows of Kerosene, Water, and Air through Copper Ducts with Variable Outlet Geometries: Insight into Turbulent-Mixing, Stress-Redistribution, Pressure-Losses, Secondary-Flows, and Energy-Dissipation

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Studying turbulent mixing, stress redistribution, pressure losses, secondary flows, and energy dissipation enhances industrial process efficiency, improves equipment durability, minimizes operational costs, optimizes fluid transport systems, supports design and promotes energy conservation. However, little is known about the influence of outlet geometry on turbulence characteristics (i.e. turbulent kinetic energy, turbulent intensity, effective viscosity , and effective thermal conductivity) in air, water, and kerosene flowing through Y-shaped copper ducts featuring regular, converging, and diverging outlets. A hybrid geometric configuration incorporating angular inlets and asymmetric outlets enables detailed analysis of turbulent mixing, stress redistribution, pressure losses, and secondary flow development in complex internal flow regimes. Numerical simulations were conducted using ANSYS Fluent 2023 R2, employing the shear stress transport (SST) turbulence model for accurate resolution of adverse pressure gradients and boundary-layer effects. High-quality meshing, grid independence validation, and robust solver configurations ensured numerical reliability and convergence. The results demonstrate that outlet geometry significantly influences turbulence intensity, effective viscosity, and thermal conductivity across different working fluids. For air, increasing inlet velocity enhances turbulent kinetic energy and turbulence intensity at the regular outlet, while the diverging outlet exhibits peak turbulence at higher cold-fluid velocities. In water flows, the converging outlet shows substantial turbulence growth under increased velocity conditions, highlighting the role of geometric restriction in enhancing mixing and energy dissipation. For kerosene, the regular outlet achieves maximum effective thermal conductivity due to improved fluid interaction and turbulence under elevated velocity conditions, whereas the diverging outlet exhibits lower viscosity as a consequence of geometric flow dispersion. Overall, the findings underscore the critical role of outlet configuration in determining turbulence behavior and thermal-fluid transport characteristics.

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July 2026

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[1] L. Li, I.L. Animasaun, O.K. Koriko, T. Muhammad, T. Elnaqeeb, Insight into turbulent Reynolds number at the regular, converging, and diverging outlets: Dynamics of air, water, and kerosene through Y-shaped cylindrical copper ducts, Int. Commun. Heat Mass Transf. 159 (2024) 108044.

DOI: 10.1016/j.icheatmasstransfer.2024.108044

Google Scholar

[2] P. Raphe, H. Fellouah, S. Poncet, M. Ameur, Ventilation effectiveness of uniform and non-uniform perforated duct diffusers at office room, Build. Environ. 204 (2021) 108118.

DOI: 10.1016/j.buildenv.2021.108118

Google Scholar

[3] K.P. Jiao, W.L. Mo, Z.T. Zhao, J.Q. Li, X.Q. Yang, S.P. Zhang, et al., Characteristics of the Blockage from Air Nozzle Guide Duct in Circulating the Fluidized-Bed Coal Gasifier and Its Formation Mechanism, ACS Omega 9(6) (2024) 6924-6931.

DOI: 10.1021/acsomega.3c08584

Google Scholar

[4] J. Chen, C. Zhang, W. Chen, Z. Zhang, Design and optimization of the exhaust system for an aviation piston engine, J. Phys. Conf. Ser. 2879(1) (2024) 012005.

DOI: 10.1088/1742-6596/2879/1/012005

Google Scholar

[5] K. Iwata, T. Sekine, I. Tanaka, T. Ando, E. Orita, Turbulent kinetic energy is different from viscous energy loss, Radiographics 40(7) (2020) 2142-2144.

DOI: 10.1148/rg.2020200177

Google Scholar

[6] I.S. Ertesvag, B.F. Magnussen, The eddy dissipation turbulence energy cascade model, Combust. Sci. Technol. 159(1) (2000) 213-235.

Google Scholar

[7] J.I. Cardesa, A. Vela-Martin, J. Jimenez, The turbulent cascade in five dimensions, Science 357(6353) (2017) 782-784.

DOI: 10.1126/science.aan7933

Google Scholar

[8] L.P. Wang, S. Chen, J.G. Brasseur, J.C. Wyngaard, Examination of hypotheses in the Kolmogorov refined turbulence theory through high-resolution simulations. Part 1. Velocity field, J. Fluid Mech. 309 (1996) 113-156.

DOI: 10.1017/s0022112096001589

Google Scholar

[9] A. Liberzon, B. Luthi, M. Guala, W. Kinzelbach, A. Tsinober, Experimental study of the structure of flow regions with negative turbulent kinetic energy production in confined three-dimensional shear flows with and without buoyancy, Phys. Fluids 17(9) (2005) 095110.

DOI: 10.1063/1.2055447

Google Scholar

[10] F.Z. Wang, I.L. Animasaun, T. Muhammad, S.S. Okoya, Recent Advancements in Fluid Dynamics: Drag Reduction, Lift Generation, Computational Fluid Dynamics, Turbulence Modelling, and Multiphase Flow, Arab. J. Sci. Eng. 49(8) (2024) 10237-10249.

DOI: 10.1007/s13369-024-08945-3

Google Scholar

[11] R. Kilpatrick, H. Hangan, K. Siddiqui, D. Parvu, J. Lange, J. Mann, et al., Effect of Reynolds number and inflow parameters on mean and turbulent flow over complex topography, Wind Energy Sci. 1(2) (2016) 237-254.

DOI: 10.5194/wes-1-237-2016

Google Scholar

[12] P. Frenzen, C.A. Vogel, The turbulent kinetic energy budget in the atmospheric surface layer: A review and an experimental reexamination in the field, Boundary-Layer Meteorol. 60(1) (1992) 49-76.

DOI: 10.1007/bf00122061

Google Scholar

[13] S.S. Thakre, J.B. Joshi, Momentum, mass and heat transfer in single-phase turbulent flow, Rev. Chem. Eng. 18(2-3) (2002) 83-293.

DOI: 10.1515/revce.2002.18.2-3.83

Google Scholar

[14] W. Wu, U. Piomelli, Effects of surface roughness on a separating turbulent boundary layer, J. Fluid Mech. 841 (2018) 552-580.

DOI: 10.1017/jfm.2018.101

Google Scholar

[15] K. Zhu, W.D. Liu, M.B. Sun, Impacts of periodic disturbances on shock wave/turbulent boundary layer interaction, Acta Astronaut. 182 (2021) 230-239.

DOI: 10.1016/j.actaastro.2021.02.017

Google Scholar

[16] F.G. Carollo, V. Ferro, D. Termini, Analyzing turbulence intensity in gravel bed channels, J. Hydraul. Eng. 131(12) (2005) 1050-1061.

DOI: 10.1061/(asce)0733-9429(2005)131:12(1050)

Google Scholar

[17] F. Wang, I.L. Animasaun, Q.M. Al-Mdallal, S. Saranya, T. Muhammad, Dynamics through three-inlets of t-shaped ducts: Significance of inlet velocity on transient air and water experiencing cold fronts subject to turbulence, Int. Commun. Heat Mass Transf. 148 (2023) 107034.

DOI: 10.1016/j.icheatmasstransfer.2023.107034

Google Scholar

[18] M.V. Zagarola, A.J. Smits, Mean-flow scaling of turbulent pipe flow, J. Fluid Mech. 373 (1998) 33-79.

DOI: 10.1017/s0022112098002419

Google Scholar

[19] D. Barkley, B. Song, V. Mukund, G. Lemoult, M. Avila, B. Hof, The rise of fully turbulent flow, Nature 526(7574) (2015) 550-553.

DOI: 10.1038/nature15701

Google Scholar

[20] R.S. Barlow, J.P. Johnston, Structure of a turbulent boundary layer on a concave surface, J. Fluid Mech. 191 (1988) 137-176.

DOI: 10.1017/s0022112088001545

Google Scholar

[21] W. Rodi (Ed.), Turbulent buoyant jets and plumes: HMT: the science & applications of heat and mass transfer, Vol. 6, Elsevier, 2014.

DOI: 10.1016/b978-0-08-026492-9.50001-3

Google Scholar

[22] P. Ricco, M. Skote, M.A. Leschziner, A review of turbulent skin-friction drag reduction by near-wall transverse forcing, Prog. Aerosp. Sci. 123 (2021) 100713.

DOI: 10.1016/j.paerosci.2021.100713

Google Scholar

[23] Y. Zhang, Z. Gu, C.W. Yu, Impact factors on airflow and pollutant dispersion in urban street canyons and comprehensive simulations: A review, Curr. Pollut. Rep. 6 (2020) 425-439.

DOI: 10.1007/s40726-020-00166-0

Google Scholar

[24] L.J. Yang, L. Chen, X.Z. Du, Y.P. Yang, Effects of ambient winds on the thermo-flow performances of indirect dry cooling system in a power plant, Int. J. Therm. Sci. 64 (2013) 178-187.

DOI: 10.1016/j.ijthermalsci.2012.08.010

Google Scholar

[25] M. Turk, S. Emeis, The dependence of offshore turbulence intensity on wind speed, J. Wind Eng. Ind. Aerodyn. 98(8-9) (2010) 466-471.

DOI: 10.1016/j.jweia.2010.02.005

Google Scholar

[26] P.A. Irwin, Bluff body aerodynamics in wind engineering, J. Wind Eng. Ind. Aerodyn. 96(6-7) (2008) 701-712.

DOI: 10.1016/j.jweia.2007.06.008

Google Scholar

[27] B. Etkin, Turbulent wind and its effect on flight, J. Aircraft 18(5) (1981) 327-345.

DOI: 10.2514/3.57498

Google Scholar

[28] A. Elshaer, G. Bitsuamlak, A. El Damatty, Enhancing wind performance of tall buildings using corner aerodynamic optimization, Eng. Struct. 136 (2017) 133-148.

DOI: 10.1016/j.engstruct.2017.01.019

Google Scholar

[29] C.D. Duguid, A.J. Barker, C.A. Jones, Convective turbulent viscosity acting on equilibrium tidal flows: new frequency scaling of the effective viscosity, Mon. Not. R. Astron. Soc. 497(3) (2020) 3400-3417.

DOI: 10.1093/mnras/staa2216

Google Scholar

[30] Z. Safar, A.Z. Szeri, Thermohydrodynamic Lubrication in Laminar and Turbulent Regimes, J. Lubr. Technol. 96(1) (1974) 48-56.

DOI: 10.1115/1.3451909

Google Scholar

[31] R. Moarref, A.S. Sharma, J.A. Tropp, B.J. McKeon, Model-based scaling of the streamwise energy density in high-Reynolds-number turbulent channels, J. Fluid Mech. 734 (2013) 275-316.

DOI: 10.1017/jfm.2013.457

Google Scholar

[32] E.E. Essel, A. Nematollahi, E.W. Thacher, M.F. Tachie, Effects of upstream roughness and Reynolds number on separated and reattached turbulent flow, J. Turbul. 16(9) (2015) 872-899.

DOI: 10.1080/14685248.2015.1033060

Google Scholar

[33] N. Petford, Which effective viscosity?, Mineral. Mag. 73(2) (2009) 167-191.

DOI: 10.1180/minmag.2009.073.2.167

Google Scholar

[34] C.M. White, M.G. Mungal, Mechanics and prediction of turbulent drag reduction with polymer additives, Annu. Rev. Fluid Mech. 40(1) (2008) 235-256.

DOI: 10.1146/annurev.fluid.40.111406.102156

Google Scholar

[35] T. Norton, D.W. Sun, Computational fluid dynamics (CFD) - an effective and efficient design and analysis tool for the food industry: a review, Trends Food Sci. Technol. 17(11) (2006) 600-620.

DOI: 10.1016/j.tifs.2006.05.004

Google Scholar

[36] A.A. Ahmadi, M. Bahiraei, Thermohydraulic performance optimization of cooling system of an electric arc furnace operated with nanofluid: A CFD study, J. Clean. Prod. 310 (2021) 127451.

DOI: 10.1016/j.jclepro.2021.127451

Google Scholar

[37] K. Dhinsa, C. Bailey, K. Pericleous, Investigation into the performance of turbulence models for fluid flow and heat transfer phenomena in electronic applications, IEEE Trans. Components Packag. Technol. 28(4) (2005) 686-699.

DOI: 10.1109/tcapt.2005.859758

Google Scholar

[38] S. Bari, S.N. Hossain, I. Saad, A review on improving airflow characteristics inside the combustion chamber of CI engines to improve the performance with higher viscous biofuels, Fuel 264 (2020) 116769.

DOI: 10.1016/j.fuel.2019.116769

Google Scholar

[39] C.C. Lee, M.V. Tran, B.T. Tan, G. Scribano, C.T. Chong, A comprehensive review on the effects of additives on fundamental combustion characteristics and pollutant formation of biodiesel and ethanol, Fuel 288 (2021) 119749.

DOI: 10.1016/j.fuel.2020.119749

Google Scholar

[40] R.K. Sidheshware, S. Ganesan, V. Bhojwani, An overview of viscosity reduction techniques on hydrocarbon fluids, Int. J. Ambient Energy 43(1) (2022) 32-41.

DOI: 10.1080/01430750.2019.1630306

Google Scholar

[41] N. Kockmann, J. Tegenkamp, L. Riegger, Rational design of the inlet configuration of flow systems for enhanced mixing: Analysis of Y-mixers and T-mixers, J. Flow Chem. 11(3) (2021) 345-358.

Google Scholar

[42] F.M. White, Fluid Mechanics, eighth ed., McGraw-Hill Education, 2016.

Google Scholar

[43] G. Bergeles, E. Bakalis (Eds.), Heat Transfer and Fluid Mechanics in Turbulent Ducts with Complex Geometries, first ed., Springer, 1999.

Google Scholar

[44] F.R. Menter, Improved two-equation k-omega turbulence models for aerodynamic flows, No. A-92183 (1992).

Google Scholar

[45] F.R. Menter, Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications, AIAA J. 32(8) (1994) 1598-1605.

DOI: 10.2514/3.12149

Google Scholar

[46] H. Yu, J. The, Validation and optimization of SST k-omega turbulence model for pollutant dispersion within a building array, Atmos. Environ. 145 (2016) 225-238.

DOI: 10.1016/j.atmosenv.2016.09.043

Google Scholar

[47] L. Konozsy, The k-omega shear-stress transport (SST) turbulence model, in: A New Hypothesis on the Anisotropic Reynolds Stress Tensor for Turbulent Flows, Springer International Publishing, Cham, 2019, pp.57-66.

DOI: 10.1007/978-3-030-13543-0_3

Google Scholar

[48] F.R. Menter, Review of the shear-stress transport turbulence model experience from an industrial perspective, Int. J. Comput. Fluid Dyn. 23(4) (2009) 305-316.

DOI: 10.1080/10618560902773387

Google Scholar

[49] H.K. Versteeg, W. Malalasekera, An Introduction to Computational Fluid Dynamics, Pearson Education Limited, Edinburgh, 2016.

Google Scholar

[50] A. Patsekha, R. Wei, R. Galler, Comparative Analysis of Numerical Methods Regarding the Backflow Investigation in Tunnels of Zentrum am Berg, BHM Berg- Und Huttenmdnnische Monatshefte 167(12) (2022) 566-577.

DOI: 10.1007/s00501-022-01304-5

Google Scholar

[51] A.M. Endalew, M. Hertog, M.A. Delele, K. Baetens, T. Persoons, M. Baelmans, et al., CFD modelling and wind tunnel validation of airflow through plant canopies using 3D canopy architecture, Int. J. Heat Fluid Flow 30(2) (2009) 356-368.

DOI: 10.1016/j.ijheatfluidflow.2008.12.007

Google Scholar

[52] P. Mishra, K.R. Aharwal, A review on selection of turbulence model for CFD analysis of air flow within a cold storage, IOP Conf. Ser. Mater. Sci. Eng. 402(1) (2018) 012145.

DOI: 10.1088/1757-899x/402/1/012145

Google Scholar

[53] K. Ward, Z.H. Fan, Mixing in microfluidic devices and enhancement methods, J. Micromech. Microeng. 25(9) (2015) 094001.

DOI: 10.1088/0960-1317/25/9/094001

Google Scholar

[54] S. Karthikeyan, N. Elumalai, K. Narasingamurthi, Experimental study of developing turbulent flow and heat transfer in ribbed convergent/divergent rectangular ducts, Therm. Sci. 19(6) (2015) 2219-2231.

DOI: 10.2298/tsci140107100k

Google Scholar

[55] M.P. Paidoussis, S.J. Price, E. De Langre, Fluid-structure interactions: cross-flow-induced instabilities, Cambridge University Press, 2010.

Google Scholar

[56] G. Dang, F. Zhong, Y. Zhang, X. Zhang, Numerical study of heat transfer deterioration of turbulent supercritical kerosene flow in heated circular tube, Int. J. Heat Mass Transf. 85 (2015) 1003-1011.

DOI: 10.1016/j.ijheatmasstransfer.2015.02.052

Google Scholar

[57] A.A. Ganguli, A.B. Pandit, Computational fluid dynamics simulations to improve performance characteristics of a manifold having a central inlet and outlet, Front. Energy Res. 10 (2022) 1013540.

DOI: 10.3389/fenrg.2022.1013540

Google Scholar

[58] M.L. Brown, M. Parsheh, C.K. Aidun, Turbulent flow in a converging channel: effect of contraction and return to isotropy, J. Fluid Mech. 560 (2006) 437-448.

DOI: 10.1017/s0022112006000449

Google Scholar

[59] P.E. Dimotakis, The mixing transition in turbulent flows, J. Fluid Mech. 409 (2000) 69-98.

DOI: 10.1017/s0022112099007946

Google Scholar

[60] J. Wan, A. Fan, H. Yao, W. Liu, Effect of thermal conductivity of solid wall on combustion efficiency of a micro-combustor with cavities, Energy Convers. Manage. 96 (2015) 605-612.

DOI: 10.1016/j.enconman.2015.03.030

Google Scholar

[61] O.B. Kanargi, P.S. Lee, C. Yap, A numerical and experimental investigation of heat transfer and fluid flow characteristics of a cross-connected alternating converging-diverging channel heat sink, Int. J. Heat Mass Transf. 106 (2017) 449-464.

DOI: 10.1016/j.ijheatmasstransfer.2016.08.057

Google Scholar

[62] L.B. Wang, W.Q. Tao, Q.W. Wang, T.T. Wong, Experimental study of developing turbulent flow and heat transfer in ribbed convergent/divergent square ducts, Int. J. Heat Fluid Flow 22(6) (2001) 603-613.

DOI: 10.1016/s0142-727x(01)00127-8

Google Scholar

[63] I.L. Animasaun, N.A. Shah, A. Wakif, B. Mahanthesh, R. Sivaraj, O.K. Koriko, Ratio of Momentum Diffusivity to Thermal Diffusivity: Introduction, Meta-analysis, and Scrutinization, Chapman and Hall/CRC, New York, 2022.

DOI: 10.1201/9781003217374

Google Scholar

[64] I.L. Animasaun, T. Muhammad, S.-J. Yook, Exploration of Half-Cycle Length of Converging Circular Wavy Duct with Diverging-Outlet: Turbulent Water Dynamics, Adv. Theory Simul. 8(7) (2025) 2500038.

DOI: 10.1002/adts.202500038

Google Scholar

[65] F. Wang, I.L. Animasaun, T. Muhammad, Anisotropic turbulent flow of water through converging wavy-aluminum-circular pipe with five half-cycles: insight into the significance of four-branch minor-inlet angle, J. Non-Equilib. Thermodyn. 50(4) (2025) 513-544.

DOI: 10.1515/jnet-2025-0046

Google Scholar