Three-Dimensional MHD Flow and Heat Transfer of Water-Based Nanofluids over a Stretching Surface with Coriolis Force and Thermal Effects

Keywords: Nonlinear thermal radiation, Nanofluid, Rotational Effects, Viscous dissipation, Joule heating

Abstract

This study focuses on the thermal behavior and three-dimensional boundary layer flow of water-based nanofluids over a stretched surface, considering the combined effects of Coriolis and Lorentz forces. The model includes several important physical aspects such as surface convection, internal heat generation, Joule heating, viscous dissipation, and thermal radiation. Copper (Cu), aluminum oxide (Al₂O₃), and magnetite (Fe₃O₄) nanoparticles are dispersed in water to compare their effectiveness in enhancing heat transfer. By applying similarity transformations, the complex system of partial differential equations is reduced to a set of nonlinear ordinary differential equations, which are then solved numerically using the Runge-Kutta-Fehlberg method along with the shooting technique. The results show that nanofluids containing Cu nanoparticles provide the highest thermal performance, followed by those with Al₂O₃ and Fe₃O₄. These findings highlight the importance of selecting appropriate nanoparticles to improve heat transfer efficiency in thermal management applications. Increasing rotation parameter λ suppresses the axial velocity while simultaneously reducing the temperature distribution, highlighting the damping influence of rotational effects on momentum and heat transport.

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References

Choi, S. U., & Eastman, J. A. (1995). Enhancing thermal conductivity of fluids with nanoparticles (No. ANL/MSD/CP-84938; CONF-951135-29). Argonne National Lab. (ANL), Argonne, IL (United States).

J. Buongiorno, “Convective transport in nanofluids,” ASME J. Heat Transf., 128, 240–250 (2006). https://doi.org/10.1115/1.2150834

Wang, Xiaoming, Changhe Li, Yanbin Zhang, Wenfeng Ding, Min Yang, Teng Gao, Huajun Cao, et al. “Vegetable oil-based nanofluid minimum quantity lubrication turning: Academic review and perspectives,” Journal of Manufacturing Processes, 59, 76-97 (2020). https://doi.org/10.1016/j.jmapro.2020.09.044

M. Sheikholeslami, and H.B. Rokni, “Nanofluid two phase model analysis in existence of induced magnetic field,” International Journal of Heat and Mass Transfer, 107, 288-299 (2017). https://doi.org/10.1016/j.ijheatmasstransfer.2016.10.130

W.A. Khan, and I. Pop, “Boundary-layer flow of a nanofluid past a stretching sheet,” International journal of heat and mass transfer, 53(11-12), 2477-2483 (2010). https://doi.org/10.1016/j.ijheatmasstransfer.2010.01.032

M.R. Krishnamurthy, B.J. Gireesha, R.S.R. Gorla, and B.C. Prasannakumara, “Suspended particle effect on slip flow and melting heat transfer of nanofluid over a stretching sheet embedded in a porous medium in the presence of nonlinear thermal radiation,” Journal of Nanofluids, 5(4), 502-510(2016). https://doi.org/10.1166/jon.2016.1247

N. Muqaddass, F. Mabood, S.A. Shehzad, F. Sahar, and I.A. Badruddin, “Analysis of heat transportation in a convectively heated time-dependent CuAl2O3-H2O hybrid nanofluid with varying thermal conductivity,” Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 238(6), 2513-2520 (2024). https://doi.org/10.1177/09544062231187788

S. Nadeem, N. Abbas, and M.Y. Malik, “Inspection of hybrid based nanofluid flow over a curved surface,” Computer methods and programs in biomedicine, 189, 105193 (2020). https://doi.org/10.1016/j.cmpb.2019.105193

A. Asadi, I.M. Alarifi, and L.K. Foong, “An experimental study on characterization, stability and dynamic viscosity of CuO-TiO2/water hybrid nanofluid,” Journal of Molecular Liquids, 307, 112987 (2020). https://doi.org/10.1016/j.molliq.2020.112987

K. Das, P.R. Duari, and P.K. Kundu, “Nanofluid flow over an unsteady stretching surface in presence of thermal radiation,” Alex. Eng. J. 53(3), 737–745 (2014). https://doi.org/10.1016/j.aej.2014.05.002

L. Roohi, “Nanofluid flow in a converging and diverging channel of rectangular and heated walls,” Ain Shams Engineering Journal, 12(4), 4023-4035 (2021). https://doi.org/10.1016/j.asej.2021.02.030

K. Ur Rehman, M.Y. Malik, O.D. Makinde, and A.A. Malik, “A comparative study of nanofluids flow yields by an inclined cylindrical surface in a double stratified medium,” The European Physical Journal Plus, 132(10), 427 (2017). https://doi.org/10.1140/epjp/i2017-11679-1

O.D. Makinde. “Computational modelling of nanofluids flow over a convectively heated unsteady stretching sheet,” Current Nanoscience, 9(5), 673-678 (2013). https://doi.org/10.2174/15734137113099990068

N.S. Akbar, M.F. Hussain, M. Alghamdi, and T. Muhammad, “Thermal characteristics of magnetized hybrid Casson nanofluid flow in a converging–diverging channel with radiative heat transfer: A computational analysis,” Scientific Reports, 13(1), 21891 (2023). https://doi.org/10.1038/s41598-023-49397-3

U. Khan, I. Waini, A. Zaib, A. Ishak, and I. Pop, “MHD mixed convection hybrid nanofluids flow over a permeable moving inclined flat plate in the presence of thermophoretic and radiative heat flux effects,” Mathematics, 10(7), 1164 (2022). https://doi.org/10.3390/math10071164

B.J. Gireesha, and L. Anitha, “Convective flow of couple stress ternary nanoliquid flow through a permeable microchannel: irreversibility analysis,” International Journal of Modelling and Simulation, 1-18 (2024). https://doi.org/10.1080/02286203.2024.2388117

J.K. Madhukesh, G.K. Ramesh, H.N. Fatima, G.S. Roopa, and S.A. Shehzad, “Influence of pollutant dispersion on nanofluid flowing across a stretched disc-cone device,” Journal of Molecular Liquids, 411, 125710 (2024). https://doi.org/10.1016/j.molliq.2024.125710

W. Cheng, M. Safeer, U. Farooq, S. Munir, J. Cui, and C.S.K. Raju, “Nonsimilar forced convection simulations of water-copper nanofluid flow through a porous medium in the presence of thermal radiations, heat generation and viscous dissipation,” Waves in Random and Complex Media, 35(1), 511-526 (2025). https://doi.org/10.1080/17455030.2021.2023785

M. Sheikholeslami, and S.A. Shehzad, “Magnetohydrodynamic nanofluid convection in a porous enclosure considering heat flux boundary condition,” International Journal of Heat and Mass Transfer, 106, 1261-1269 (2017). https://doi.org/10.1016/j.ijheatmasstransfer.2016.10.107

D.K. Jyoti, V. Nagaradhika, P.B.S. Kumar, and A.J. Chamkha, “Nonlinear Convection and Radiative Heat Transfer in Kerosene-Alumina Nanofluid Flow Between Two Parallel Plates with Variable Viscosity,” Journal of Nanofluids, 13(5), 1055 1062 (2024). https://doi.org/10.1166/jon.2024.2193

T.V. Karman, “Über laminar and turbulent Reibung,” ZAMM J. App. Math. Mech. 1(4), 233–252 (1921).

C.Y. Wang, “Stretching a surface in a rotating fluid”, ZAMP, 39(2), 177–185 (1988).

R. Nazar, N. Amin, and I. Pop, “Unsteady boundary layer flow due to a stretching surface in a rotating fluid,” Mech. Res. Commun. 31(1), 121–128 (2004). https://doi.org/10.1016/j.mechrescom.2003.09.004

O.D. Makinde, O.A. Bég, and H.S. Takhar, “Magnetohydrodynamic viscous flow in a rotating porous medium cylindrical annulus with an applied radial magnetic field,” Int. J. Appl. Math. Mech. 5(6), 68-81 (2009).

M. Sheikholeslami and D.D. Ganji, “Three-dimensional heat and mass transfer in a rotating system using nanofluid,” Powder Technol. 253, 789–796 (2014). https://doi.org/10.1016/j.powtec.2013.12.042

M. Mustafa, A. Mushtaq, T. Hayat and A. Alsaedi, “Rotating flow of magnetite-water nanofluid over a stretching surface inspired by non-linear thermal radiation,” PloS one, 11(2), e0149304 (2016). https://doi.org/10.1371/journal.pone.0149304

M. Archana, B.J. Gireesha, B.C. Prasannara, and R.S.R. Gorla, “Influence of nonlinear thermal radiation on rotating flow of Casson nanofluid, Nonlinear Engineering, 7(2), 91-101 (2017). https://doi.org/10.1515/nleng-2017-0041

P.B. Sampath Kumar, B.J. Gireesha, B. Mahanthesh, and R.S.R. Gorla, “Radiative nonlinear 3D flow of ferrofluid with Joule heating, convective condition and Coriolis force,” Thermal Science and Engineering Progress, 3, 88-94 (2017). https://doi.org/10.1016/j.tsep.2017.06.006

F. Mabood, W.A. Khan, and O.D. Makinde, “Hydromagnetic flow of a variable viscosity nanofluid in a rotating permeable channel with Hall effects,” Journal of Engineering Thermophysics, 26(4), 553-566 (2017). https://doi.org/10.1134/S1810232817040105

M.V. Krishna, and A,J. Chamkha, “Hall and ion slip effects on MHD rotating boundary layer flow of nanofluid past an infinite vertical plate embedded in a porous medium,” Results in Physics, 15, 102652 (2019). https://doi.org/10.1016/j.rinp.2019.102652

S.S. Kumar, RV Prasad, S.U. Mamatha, C.S.K. Raju, and B.M. Rao, Dynamics of nonlinear-shaped solid particles occurrence of hydro-magnetic slip with comparative analysis of radiated ternary, hybrid and nanofluid flow in a rotating internally, International Journal of Modern Physics B, 37(13), 2350127 (2023). https://doi.org/10.1142/S0217979223501278

Z. Mustafa, T. Hayat, T. Javed, and A. Alsaedi, “Unsteady MHD Casson fluid flow with Dufour and Soret’s effects due to a rotating cone,” Waves in Random and Complex Media, (2023). https://doi.org/10.1080/17455030.2023.2188099

T. Hayat, Z. Abbas, I. Pop, and S. Asghar, “Effects of radiation and magnetic field on the mixed convection stagnation-point flow over a vertical stretching sheet in a porous medium,” International Journal of Heat and Mass Transfer, 53(1-3), 466-474 (2010). https://doi.org/10.1016/j.ijheatmasstransfer.2009.09.010

T.G. Motsumi, and O.D. Makinde, “Effects of thermal radiation and viscous dissipation on boundary layer flow of nanofluids over a permeable moving flat plate,” Physica Scripta, 86(4), 045003 (2012). https://doi.org/10.1088/0031-8949/86/04/045003

M. Sheikholeslami, T. Hayat, and A. Alsaedi, “MHD free convection of Al2O3-water nanofluid considering thermal radiation: a numerical study,” International Journal of Heat and Mass Transfer, 96, 513-524 (2016). https://doi.org/10.1016/j.ijheatmasstransfer.2016.01.059

S.J. Reddy, P. Valsamy, and D.S. Reddy, “Thermal Radiation Impact on Nanofluid Boundary Layer Flow Towards a Moving Plate in Presence of Magnetic Field Using Numerical Solutions,” Journal of Nanofluids, 13(1), 199 206 (2024). https://doi.org/10.1166/jon.2024.2144

W. Hassan, U. Farooq, D. Liu, M. Abid, M. Imran, and T. Muhammad, “Heat transfer analysis of hybrid nanofluid flow with thermal radiation through a stretching sheet: A comparative study,” International Communications in Heat and Mass Transfer, 138, 106303 (2022). https://doi.org/10.1016/j.icheatmasstransfer.2022.106303

P. Sreedevi, P.S. Reddy, and A. Chamkha, “Heat and mass transfer analysis of unsteady hybrid nanofluid flow over a stretching sheet with thermal radiation,” SN Applied Sciences, 2(7), 1222 (2020). https://doi.org/10.1007/s42452-020-3011-x

R. Devi, S.V. Venkata, and M.G. Reddy, “Parametric analysis of MHD flow of nanofluid in stretching sheet under chemical sensitivity and thermal radiation,” Heat Transfer, 51(1), 948-975 (2022). https://doi.org/10.1002/htj.22337

B.J. Gireesha, G. Sowmya, M.I. Khan, and H.F. Öztop, “Flow of hybrid nanofluid across a permeable longitudinal moving fin along with thermal radiation and natural convection,” Computer methods and programs in biomedicine, 185, 105166 (2020). https://doi.org/10.1016/j.cmpb.2019.105166

R.K. Tiwari, and M.K. Das, “Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids,” Int. J. Heat Mass Transf. 50, 2002–2018 (2007). https://doi.org/10.1016/j.ijheatmasstransfer.2006.09.034

H.C. Brinkman, “The viscosity of concentrated suspensions and solutions,” J. Chem. Phys. 20, 571–581 (1952). https://doi.org/10.1063/1.1700493

J.C. Maxwell, A treatise on electricity and magnetism, Second Ed., (Cambridge, Oxford University Press, 1904). pp. 435-441.

Published
2025-12-08
Cited
How to Cite
Bindu, M., Nagaradhika, V., & Mamatha, E. (2025). Three-Dimensional MHD Flow and Heat Transfer of Water-Based Nanofluids over a Stretching Surface with Coriolis Force and Thermal Effects. East European Journal of Physics, (4), 308-318. https://doi.org/10.26565/2312-4334-2025-4-29