Effects of variations in magnetic Reynolds number on magnetic field distribution in electrically conducting fluid under magnetohydrodynamic natural convection

References

[1].             G.M. Oreper and J. Szekely, “The effect of an externally imposed magnetic field on buoyancy driven flow in a rectangular cavity”, J. Cryst. Growth, 64, 505–515, (1983).

[2].             H. BenHadid, D. Henry, ‘‘Numerical study of convection in the horizontal Bridgman configuration under the action of a constant magnetic field. Part 2. Three-dimensional flow’’, J. Fluid Mech., 333, 57–83, (1997).

[3].             R. Bessaiha, M. Kadja, Ph. Marty, ‘‘Effect of wall electrical conductivity and magnetic field orientation on liquid metal flow in a geometry similar to the horizontal Bridgman configuration for crystal growth’’, International Journal of Heat and Mass Transfer, 42, 4345-4362, (1999).

[4].             M. Ciofalo and F. Cricchio, ‘‘Influence of a magnetic field on liquid metal free convection in an internally heated cubic enclosure’’, International Journal of Numerical Methods for Heat & Fluid Flow, 12(6), 687-715, (2002).

[5].             I.D. Piazza, M. Ciofalo, ‘‘MHD free convection in a liquid metal filled cubic enclosure I. Differential heating’’, Int. J. Heat Mass Transfer 45, 1477–1492, (2002).

[6].             I.D. Piazza, M. Ciofalo, ‘‘MHD free convection in a liquid metal filled cubic enclosure II. Internal heating’’, Int. J. Heat Mass Transfer 45, 1493–1511, (2002).

[7].             M. Pirmohammadi, M. Ghassemi, ‘‘Effect of magnetic field on convection heat transfer inside a tilted square enclosure’’, International Communication in Heat and Mass Transfer, 36, 776–780, (2009).

[8].             M. Pirmohammadi, M. Ghassemi, A. Keshtkar, ‘‘Numerical study of hydromagnetic convection of an electrically conductive fluid with variable properties inside an enclosure’’, IEEE Transactions on Plasma Science, 39, 516–520, (2011).

[9].             N.M. Al-Najem, K.M. Khanafer, M.M. El-Rafaee, ‘‘Numerical study of laminar natural convection in tilted enclosure with transverse magnetic field’’, Int. J. Numer. Meth. Heat Fluid Flow, 8, 651–672, (1998).

[10].           N. Rudraiah, R.M. Barron, M. Venkatachalappa, C.K. Subbaraya, ‘‘Effect of a magnetic field on free convection in a rectangular enclosure’’, Int. J. Eng. Sci., 33, 1075–1084, (1995).

[11].           F. Selimefendigil, H.F. Oztop, K. Al-Salem, Natural convection of ferrofluids in partially heated square enclosures, J. Magn. Magn. Mater., 372, , 122–133, (2014).

[12].           H. Heidary, R. Hosseini, M. Pirmohammadi, M. J. Kermani, ‘‘Numerical study of magnetic field effect on nano-fluid forced convection in a channel’’, Journal of Magnetism and Magnetic Matrials, 374, 11-17, (2014).

[13].           N.S. Bondareva, M.A. Sheremet, I. Pop, ‘‘Magnetic field effect on the unsteady natural convection in a right-angle trapezoidal cavity filled with a nanofluid’’, Int. J. Numer. Methods Heat. Fluid Flow., 25, 1924–1946, (2015).

[14].           I.V. Miroshnichenko, M.A. Sheremet, H.F. Oztopc, K. A-Salem, ‘‘MHD natural convection in a partially open trapezoidal cavity filled with a nanofluid’’, International Journal of Mechanical Sciences, 119, 294–302, (2016).

[15].           P.A. Davidson, ‘‘An Introduction to Magnetohydrodynamics’’, Cambridge University Press, Cambridge, 2001.

[16].           U. Müller, L. Bühler, ‘‘Magnetofluiddynamics in channels and containers’’, Springer, Wien, New York, (2001).

[17].           S.S. Sazhin, M. Makhlouf, ‘‘Solutions of magnetohydrodynamic problems based on a convectional computational fluid dynamic code’’, International Journal for Numerical Methods in Fluids, 21, 433-442, (1995).

[18].           E. Sarris , G. K. Zikos, A. P. Grecos, N.S. Vlachos, “On the Limits of Validity of the Low Magnetic ReynoldsNumber Approximation in MHD Natural-Convection HeatTransfer”, Numerical Heat Transfer (Part B), 50, 157-180, (2006).