Magnetohydrodynamic (MHD) Flow in a Channel Including a Rotating Cylinder

Document Type : Original Article


Department of Renewable Energy, Faculty of Mechanical Engineering, Urmia University of Technology, Urmia, Iran


Heat transfer analysis in channels and enclosures has significant attention nowadays. In the present work, fluid flow and heat transfer of a vertical channel consisting of a rotating cylinder utilizing nanofluid have been studied, numerically. Uniform magnetic field has been applied to the fluid field. Different cylinder rotation directions, Hartmann number and rotational velocity of cylinder configurations have been considered. The results indicate that by increasing the Hartmann number, for low values of non-dimensional angular velocity the average Nusselt number increases. In addition, in higher Hartmann numbers, the average Nusselt number does not change remarkably with non-dimensional angular velocity. Furthermore, studying lift and drag coefficients demonstrate that in a constant Hartmann number, the highest drag coefficient takes place in maximum cylinder angular velocity. Additionally, almost uniform distribution of drag coefficient can be seen in higher Hartmann numbers. The numerical results have been compared with the previously reported results. This comparison illustrates excellent agreement between them.


Main Subjects

Ganvir, R., P. Walke, and V. Kriplani, “Heat transfer characteristics in nanofluid—a review“, Renewable and Sustainable Energy Reviews, Vol. 75, (2017), 451-460,
2.      Hussein, A.M., K. Sharma, R. Bakar, and K. Kadirgama, “A review of forced convection heat transfer enhancement and hydrodynamic characteristics of a nanofluid“, Renewable and Sustainable Energy Reviews, Vol. 29, (2014), 734-743,
3.      Kakaç, S. and A. Pramuanjaroenkij, “Review of convective heat transfer enhancement with nanofluids“, International Journal of Heat and Mass Transfer, Vol. 52, (2009), 3187-3196,
4.      Li, Y., S. Tung, E. Schneider, and S. Xi, “A review on development of nanofluid preparation and characterization“, Powder Technology, Vol. 196, (2009), 89-101,
5.      Tawfik, M.M.,“Experimental studies of nanofluid thermal conductivity enhancement and applications: a review“, Renewable and Sustainable Energy Reviews, Vol. 75, (2017), 1239-1253,
6.      Yu, W., D.M. France, J.L. Routbort, and S.U. Choi, “Review and comparison of nanofluid thermal conductivity and heat transfer enhancements“, Heat Transfer Engineering, Vol. 29, (2008), 432-460,
7.      Gravndyan, Q., O.A. Akbari, D. Toghraie, A. Marzban, R. Mashayekhi, R. Karimi, and F. Pourfattah,“The effect of aspect ratios of rib on the heat transfer and laminar water/TiO2 nanofluid flow in a two-dimensional rectangular microchannel“, Journal of Molecular Liquids, Vol. 236, (2017), 254-265,
8.      Ahmadi, A.A., E. Khodabandeh, H. Moghadasi, N. Malekian, O.A. Akbari, and M. Bahiraei, “Numerical study of flow and heat transfer of water-Al2O3 nanofluid inside a channel with an inner cylinder using Eulerian–Lagrangian approach“, Journal of Thermal Analysis and Calorimetry, Vol. 132, (2018), 651-665,
9.      Bahiraei, M. and P.R. Mashaei, “Using nanofluid as a smart suspension in cooling channels with discrete heat sources“, Journal of Thermal Analysis and Calorimetry, Vol. 119, (2015), 2079-2091,
10.    Ho, C.-J., L. Wei, and Z. Li, “An experimental investigation of forced convective cooling performance of a microchannel heat sink with Al2O3/water nanofluid“, Applied Thermal Engineering, Vol. 30, (2010), 96-103,
11.    Heidary, H. and M. Kermani, “Heat transfer enhancement in a channel with block (s) effect and utilizing Nano-fluid“, International Journal of Thermal Sciences, Vol. 57, (2012), 163-171,
12.    Khanafer, K., K. Vafai, and M. Lightstone, “Buoyancy-driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids“, International Journal of Heat and Mass Transfer, Vol. 46, (2003), 3639-3653,
13.    Santra, A.K., S. Sen, and N. Chakraborty, “Study of heat transfer due to laminar flow of copper–water nanofluid through two isothermally heated parallel plates“, International Journal of Thermal Sciences, Vol. 48, (2009), 391-400,
14.    Roslan, R., H. Saleh, and I. Hashim,“Effect of rotating cylinder on heat transfer in a square enclosure filled with nanofluids“, International Journal of Heat and Mass Transfer, Vol. 55, (2012), 7247-7256,
15.    Chen, C.-H., “Heat and mass transfer in MHD flow by natural convection from a permeable, inclined surface with variable wall temperature and concentration“, Acta Mechanica, Vol. 172, (2004), 219-235,
16.    Daniel, Y.S., Z.A. Aziz, Z. Ismail, and F. Salah, “Effects of thermal radiation, viscous and Joule heating on electrical MHD nanofluid with double stratification“, Chinese Journal of Physics, Vol. 55, (2017), 630-651,
17.    Ma, Y., R. Mohebbi, M. Rashidi, Z. Yang, and M.A. Sheremet,“Numerical study of MHD nanofluid natural convection in a baffled U-shaped enclosure“, International Journal of Heat and Mass Transfer, Vol. 130, (2019), 123-134,
18.    Mabood, F. and W. Khan,“Analytical study for unsteady nanofluid MHD Flow impinging on heated stretching sheet“, Journal of Molecular Liquids, Vol. 219, (2016), 216-223,
19.    Makinde, O. and I. Animasaun,“Bioconvection in MHD nanofluid flow with nonlinear thermal radiation and quartic autocatalysis chemical reaction past an upper surface of a paraboloid of revolution“, International Journal of Thermal Sciences, Vol. 109, (2016), 159-171,
20.    Aminossadati, S., A. Raisi, and B. Ghasemi,“Effects of magnetic field on nanofluid forced convection in a partially heated microchannel“, International Journal of Non-Linear Mechanics, Vol. 46, (2011), 1373-1382,
21.    Heidary, H., R. Hosseini, M. Pirmohammadi, and M. Kermani,“Numerical study of magnetic field effect on nano-fluid forced convection in a channel“, Journal of Magnetism and Magnetic Materials, Vol. 374, (2015), 11-17,
22.    Selimefendigil, F. and H.F. Öztop,“Numerical study of MHD mixed convection in a nanofluid filled lid driven square enclosure with a rotating cylinder“, International Journal of Heat and Mass Transfer, Vol. 78, (2014), 741-754,
23.    Hosseini, S., M. Sheikholeslami, M. Ghasemian, and D. Ganji, “Nanofluid heat transfer analysis in a microchannel heat sink (MCHS) under the effect of magnetic field by means of KKL model“, Powder Technology, Vol. 324, (2018), 36-47,
24.    Oztop, H.F., K. Al-Salem, and I. Pop, “MHD mixed convection in a lid-driven cavity with corner heater“, International Journal of Heat and Mass Transfer, Vol. 54, (2011), 3494-3504,
25.    Aminfar, H., M. Mohammadpourfard, and F. Mohseni, “Two-phase mixture model simulation of the hydro-thermal behavior of an electrical conductive ferrofluid in the presence of magnetic fields“, Journal of Magnetism and Magnetic Materials,Vol.324, (2012), 830-842,
26.    Ma, Y., R. Mohebbi, M. Rashidi, and Z. Yang,“MHD convective heat transfer of Ag-MgO/water hybrid nanofluid in a channel with active heaters and coolers“, International Journal of Heat and Mass Transfer, Vol. 137, (2019), 714-726,
27.    Mahmoudi, A.H., I. Pop, and M. Shahi, “Effect of magnetic field on natural convection in a triangular enclosure filled with nanofluid“, International Journal of Thermal Sciences, Vol. 59, (2012), 126-140,
28.    Bianco, V., F. Chiacchio, O. Manca, and S. Nardini, “Numerical investigation of nanofluids forced convection in circular tubes“, Applied Thermal Engineering, Vol. 29, (2009), 3632-3642,
29.    Garoosi, F., F. Hoseininejad, and M.M. Rashidi,“Numerical study of natural convection heat transfer in a heat exchanger filled with nanofluids“, Energy,Vol.109, (2016), 664-678,
30.    Pak, B.C. and Y.I. Cho,“Hydrodynamic and heat transfer study of dispersed fluids with submicron metallic oxide particles“, Experimental Heat Transfer an International Journal, Vol. 11, (1998), 151-170,
31.    Brinkman, H.,“The viscosity of concentrated suspensions and solutions“, The Journal of Chemical Physics, Vol. 20, (1952), 571-571,
32.    Wasp, E.J., J.P. Kenny, and R.L. Gandhi,“Solid--liquid flow: slurry pipeline transportation.[Pumps, valves, mechanical equipment, economics]“, Ser. Bulk Mater. Handl.;(United States), Vol. 1, (1977),
33.    Maxwell, J.C., A treatise on electricity and magnetism. Vol. 1. 1873: Oxford: Clarendon Press.
34.             Park, Y.G., H.S. Yoon, and M.Y. Ha,“Natural convection in square enclosure with hot and cold cylinders at different vertical locations“, International Journal of Heat and Mass Transfer, Vol. 55, (2012), 7911-7925,