Influence of Internal Obstacle
Size and Position
on Magnetohydrodynamic Convection in Square
Cavities
Understanding the impact of internal obstacle configurations on magnetohydrodynamic (MHD) convection has become essential for optimizing thermal systems such as electronic cooling devices, solar enclosures, and advanced heat exchangers. This review investigates how variations in the size and placement of internal bodies within square enclosures influence natural convection performance under the presence of magnetic fields. The paper compiles and analyzes studies from 2015 to 2024, highlighting key trends in heat transfer enhancement or suppression as a function of geometric positioning. Special focus is given to works incorporating nanofluids and different Hartmann numbers, with findings synthesized to guide future research and design improvements.
Keywords: Magnetohydrodynamics, Obstacle configuration, Thermal Performance,
Cavity flow, Nanofluids,
Rayleigh number, Hartmann number
[1] Tasnim, S., A. Mitra, H. Saha,
M.Q. Islam, and S. Saha, MHD conjugate natural convection and entropy
generation of a nanofluid filled square enclosure with multiple heat-generating
elements in the presence of Joule heating. Results in Engineering, 17 (2023) :100993.
[2] Wang, X.-Q. and A.S.
Mujumdar, A review on nanofluids-part I: theoretical and numerical
investigations. Brazilian journal of chemical engineering, 25 (2008) 613-630.
[3] Abdulkadhim, A., I.
mejbel Abed, and N. mahjoub Said, An exhaustive review on natural convection
within complex enclosures: Influence of various parameters. Chinese Journal of
Physics, 74 (2021) 365-388.
[4] Pandey, S., Y.G. Park, and M.Y.
Ha, An exhaustive review of studies on natural convection in enclosures with and without internal bodies of various shapes.
International Journal of Heat and Mass Transfer, 138 (2019) 762-795.
[5] Esmaeil, K.K.,
Thermophysical properties-based evaluation of nanofluids laminar natural
convection inside square enclosure. Journal of Thermophysics and Heat Transfer,
29(1) (2015) 102-116.
[6] Umadevi, P. and N.
Nithyadevi, Convection in a sinusoidally heated square enclosure utilizing Ag?
water nanofluid with heat generating solid body. International Journal of
Mechanical Sciences, 131 (2017) 712-721.
[7] Chen, S., W. Gong,
and Y. Yan, Conjugate natural convection heat transfer in an open-ended square
cavity partially filled with porous media. International Journal of Heat and
Mass Transfer, 2018. 124: p. 368-380.
[8] Mehryan, S., M.
Izadi, and M.A. Sheremet, Analysis of conjugate natural convection within a
porous square enclosure occupied with micropolar nanofluid using local
thermal non-equilibrium model. Journal of Molecular Liquids, 250 (2018) 353-368.
[9] Reddy, P.S. and P.
Sreedevi, Buongiorno's model nanofluid natural convection inside a square
cavity with thermal radiation. Chinese Journal of Physics, 72 (2021) 327-344.
[10] Sivarami Reddy, C.,
V. Ramachandra Prasad, and K. Jayalakshmi, Numerical simulation of natural
convection heat transfer from a heated square cylinder in a square cavity
filled with micropolar fluid. Heat Transfer50(6), (:2021 ) 5267-5285.
[11] Charreh, D. and M.
Saleem, Entropy generation and natural convection analyses in a non-Darcy
porous square cavity with thermal radiation and viscous dissipation. Results in
Physics, 52 (2023) 106874.
[12] El Hammami, Y., M.
El Hattab, R. Mir, and T. Mediouni, Numerical study of natural convection of
nanofluid in a square enclosure in the presence of the magnetic field. Int. J.
Eng. Adv. Tech.(IJEAT), 4 (2015)4 .
[13] Mejri, I. and A.
Mahmoudi, MHD natural convection in a nanofluid-filled open enclosure with a
sinusoidal boundary condition. Chemical Engineering Research and Design, 98 (2015)
1-16.
[14] Zhang, J.-K., B.-W.
Li, Y.-Y. Chen, H.-L. Li, and X.-Y. Tian, Critical parameter research on
natural convection of radiation-magnetohydrodynamics in a square cavity.
International Communications in Heat and Mass Transfer68,
(2015) 114-121.
[15] Bouchair, R., A.
Bourouis, and A. Omara, Conjugate MHD natural convection in a square cavity
with a non-uniform heat source thick solid partition. International Journal for
Computational Methods in Engineering Science and Mechanics, 23(5)
(2022) 396-411.
[16] Rashad, A., T. Armaghani,
A.J. Chamkha, and M. Mansour, Entropy generation and MHD natural convection of
a nanofluid in an inclined square porous cavity: effects of a heat sink and
source size and location. Chinese journal of physics, 56(1) (2018) 193-211.
[17] Karimdoost Yasuri,
A., M. Izadi, and H. Hatami, Numerical study of natural convection in a square
enclosure filled by nanofluid with a baffle in the presence of magnetic field.
Iranian Journal of Chemistry and Chemical Engineering, 38(5) (2019) 209-220.
[18] Li, Z., A.K.
Hussein, O. Younis, M. Afrand, and S. Feng, Natural convection and
entropy generation of a nanofluid around a circular baffle inside an inclined
square cavity under thermal radiation and magnetic field effects. International
Communications in Heat and Mass Transfer, 116 (2020) 104650.
[19] Dimitrienko, Y.I.
and S. Li, Numerical simulation of MHD
natural convection heat transfer in a square cavity filled with Carreau fluids
under magnetic fields in different directions. Computational and Applied
Mathematics, 39(4) (2020) 252.
[20] Jino, L. and A.V.
Kumar, Cu-water nanofluid MHD quadratic natural convection on square porous
cavity. International Journal of Applied and Computational Mathematics, 7(4) (2021)
164.
[21] Salma, U., M.M.
Haque, and M. Alam. Convective heat transfer in a square cavity filled with
nanofluids under the influence of periodic magnetic field. in AIP Conference
Proceedings. (2021) AIP Publishing.
[22] Sheremet, M.A., H.F.
Oztop, I. Pop, and N. Abu-Hamdeh, Analysis of entropy generation in natural
convection of nanofluid inside a square cavity having hot solid block: Tiwari and Das’ model. Entropy, 18(1) (2015) 9.
[23] Bondareva, N.S. and
M.A. Sheremet, Effect of inclined magnetic field on natural convection melting
in a square cavity with a local heat source. Journal of Magnetism and Magnetic
Materials, 419 (2016) 476-484.
[24] Hussein, A.K., H.
Ashorynejad, S. Sivasankaran, L. Kolsi, M. Shikholeslami, and I. Adegun,
Modeling of MHD natural convection in a square enclosure having an adiabatic
square shaped body using Lattice Boltzmann Method. Alexandria Engineering
Journal, 55(1) (2016) 203-214.
[25] El Moutaouakil, L.,
M. Boukendil, Z. Zrikem, and A. Abdelbaki. Conjugate natural
convection-surface radiation in a square cavity with an inner elliptic body. in
The Proceedings of the Third International Conference on Smart City
Applications. (2019). Springer.
[26] Wang, L., Y. Zhao, X. Yang, B. Shi, and Z. Chai, A lattice Boltzmann
analysis of the conjugate natural convection in a square enclosure with a
circular cylinder. Applied Mathematical Modelling, 71 (2019) 31-44.
[27] Mahmood, R.A., A.K.
Ibrahim, A.G.M. Kamilxy, and R.I. Saeed. Natural
convection from a horizontal cylinder placed in a square enclosure: CFD
simulations. in AIP Conference Proceedings. (2023) AIP Publishing.
[28] Nammi, G., D.K.
Deka, S. Pati, and L. Baranyi, Natural convection heat transfer within a square
porous enclosure with four heated cylinders. Case Studies in Thermal
Engineering, 30 (2022) 101733.
[29] Pandey, S., P.S.
Jakkareddy, Y.M. Seo, and M.Y. Ha, Direct numerical simulation of natural
convection between an enclosure and multiple circular cylinders: an influence
of horizontal arrangement of cylinders. Case Studies in Thermal Engineering, 36
(2022) 102205.
[30] Abdulkadhim, A.,
H.K. Hamzah, F.H. Ali, A.M. Abed, and I.M. Abed, Natural convection among inner
corrugated cylinders inside wavy enclosure filled with nanofluid superposed in porous–nanofluid layers. International Communications
in Heat and Mass Transfer, 109 (2019) 104350.
[31] Alsabery, A.I., T.
Tayebi, A.J. Chamkha, and I. Hashim, Natural convection of Al 2 O 3-water
nanofluid in a non-Darcian wavy porous cavity under the local thermal
non-equilibrium condition. Scientific Reports, 10(1) (2020) 18048.
[32] Mahmuda, S. and M.M.
Ali, MHD free convection flow of nanofluids inside a flush mounted heated
square cavity containing a heat conducting triangular cylinder. (2024.)
[33] Altaee, A.H., F.H.
Ali, and Q.A. Mahdi, Natural convection inside square enclosure containing
equilateral triangle with different orientations. Journal of University of
Babylon, 25(4) (2017) 1194-1205.
[34] Ibrahim, M.N.J.,
K.A. Hammoodi, A.D. Abdulsahib, and M.A. Flayyih, Study of natural convection
inside inclined nanofluid cavity with hot inner bodies (circular and ellipse
cylinders). International Journal of Heat and Technology, 40(3) (2022) 699-705.
[35] Cho, H.W., M.Y. Ha,
and Y.G. Park, Natural convection in a square enclosure with two hot inner
cylinders, Part II: The effect of two elliptical cylinders with various aspect
ratios in a vertical array. International Journal of Heat and Mass Transfer,
135 (2019) 962-973.
[36] Rashid, U., D. Lu, and Q. Iqbal, Nanoparticles impacts on natural
convection nanofluid flow and heat transfer inside a square cavity with fixed a
circular obstacle. Case Studies in Thermal Engineering, 44 (2023) 102829.
[37] Izadpanah, F., M.
Sadegh Sadeghi, M. Ghodrat, and M. Behnia, Natural thermo-bio convection of
gyrotactic micro-organisms in a square cavity with two heaters inside:
application to ocean ecosystems. International Journal of Environmental
Studies, 81(3) (2024) 1390-1412.
[38] Roy, N.C., M.A.
Hossain, and R.S.R. Gorla, Natural convection in a cavity with trapezoidal heat
sources mounted on a square cylinder. SN Applied Sciences, 2 (2020) 1-11.
[39] Hamid, M., M. Usman,
W.A. Khan, R.U. Haq, and Z. Tian, Natural convection and multidirectional
magnetic field inside a square shaped cavity with
sinusoidal temperature and heated/cold blocks. International Communications in
Heat and Mass Transfer, 152 (2024) 107291.
[40] Reddy, N. and K.
Murugesan, Magnetic field influence on double-diffusive natural convection in a
square cavity–A numerical study. Numerical heat transfer, part A: Applications,
71(4) (2017) 448-475.
[41] Sajjadi, H. and G.R.
Kefayati, MHD turbulent and laminar natural convection in a square cavity
utilizing lattice Boltzmann method. Heat Transfer—Asian Research, 45(8) (2016)
795-814.
[42] Chatterjee, D. and
S. Kumar Gupta, Magnetohydrodynamic natural convection in a square enclosure
with four circular cylinders positioned at different rectangular locations.
Heat Transfer Engineering, 38(17) (2017) 1449-1465.
[43] Sivaraj, C. and M.A.
Sheremet, MHD natural convection in an inclined square porous cavity with a
heat conducting solid block. Journal of Magnetism and Magnetic materials, 426 (2017)
351-360.
[44] Rahmati, A. and A.
Tahery, Numerical study of nanofluid natural convection in a square cavity with
a hot obstacle using lattice Boltzmann method. Alexandria engineering journal,
57(3) (2018) 1271-1286.
[45] Ali, r.a., analysis
of the natural convection heat transfer inside square enclosure partially
divided by non-conductive partitions s.
[46] Hamid, M., M. Usman,
W.A. Khan, R.U. Haq, and Z. Tian, Characterizing natural convection and thermal
behavior in a square cavity with curvilinear corners and central circular
obstacles. Applied Thermal Engineering, 248 (2024) 123133.
[47] Arjun, K. and K.
Rakesh, MHD natural convection heat transfer in a nanofluid filled finned
square cavity. Journal of Mechanical Engineering Research & Developments,
40 (2017) 481-489.
[48] Tayebi,
T. and A.J. Chamkha, Effects of various configurations of an inserted
corrugated conductive cylinder on MHD natural convection in a hybrid
nanofluid-filled square domain. Journal of Thermal Analysis and Calorimetry,
143(2) (2021) 1399-1411.
[49] Khalili, R., E. Tavousi, R.B. Kazerooni, A. Noghrehabadi, and S. Taheripour, Lattice Boltzmann method simulation of nanofluid natural convection heat transfer in a square cavity with constant heat flux at walls. Iranian Journal of Science and Technology, Transactions of Mechanical Engineering, (2024) 1-16.