Effect of inclination angle on convection heat transfer inside porous enclosure exposed to non uniform magnetic field

Author

Mechanical Engineering Department, Faculty of Engineering, Lorestan University, Khorramabad, Iran

Abstract

Here, the effect of rotating cavity filled by porous materials exposed to two variable magnetic fields on the heat transfer natural convection is investigated. The two hot semicylinder are cooled by the heat transfer through the porous medium. The two magnetic fields affect the nanofluid flow and the heat transfer of the natural convection inside the porous cavity. The characteristic equations related to the fluid flow including the continuum equation, momentum and two nano-fluid and the solid-state matrix energy equations of the porous medium have been solved to predict the problem behavior. The influence of the cavity rotation angle on the streamlines and temperature field is investigated. The results show that increasing the rotation angle has oscillatory effects on the magnitude of the streamlines. For the rotation angles = 20 and = 100 the heat transfer via both phases is intensified. The rotation of the cavity depends on how the magnetic field-induced Lorentz and Kelvin forces amplify or weaken the heat transfer, thereby altering the Nusselt number of both phases of porous medium.

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Main Subjects


[1] Ahmed G.R., Yovanovich M.M. (1991) Influence of discrete heat source location on natural convection heat transfer in a vertical square enclosure. J Elec. Pack. 113: 268–274.
[2] Nelson J.E., Balakrishnan A.R., Murthy S.S. (1999) Experiments on stratified chilled-water tanks: Expériences menées avec des reservoirs d'accumulation d'eau glacée à stratification. Int J Refrig. 22: 216–234.
[3] Oliveski R.D.C., Krenzinger A., Vielmo H.A. (2003) Cooling of cylindrical vertical tanks submitted to natural internal convection. Int. J Heat Mass. Tran. 46: 2015–2026.
[4] Elshehabey H.M., Hady F.M., Ahmed S.E., Mohamed R.A. (2014) Numerical investigation for natural convection of a nanofluid in an inclined L-shaped cavity in the presence of an inclined magnetic field. Int Com Heat Mass 57: 228–238.
[5] Kefayati G.R.H. (2013) Effect of a magnetic field on natural convection in an open cavity subjugated to water/alumina nanofluid using Lattice Boltzmann method. Int Com Heat Mass 40: 67–77.
[6] Pirmohammadi M., Ghassemi M. (2009) Effect of magnetic field on convection heat transfer inside a tilted square enclosure. Int Com Heat Mass 36: 776–780.
[7] Sankar M., Venkatachalappa M., Do Y. (2011) Effect of magnetic field on the buoyancy and thermocapillary driven convection of an electrically conducting fluid in an annular enclosure.Int J Heat . Fl. 32: 402–412.
[8] Kandelousi M.S. (2014) Effect of spatially variable magnetic field on ferrofluid flow and heat transfer considering constant heat flux boundary condition. Eur. Physic. J Plus 129 248.
[9] Alsabery A.I., Chamkha A.J., Hussain S.H., Saleh H., Hashim I. (2015) Heatline visualization of natural convection in a trapezoidal cavity partly filled with nanofluid porous layer and partly with non-Newtonian fluid layer. Adv Powd. Tech: 26 1230–1244.
[10] Ghalambaz M., Behseresht A., Behseresht J.,  Chamkha A. (2015) Effects of nanoparticles diameter and concentration on natural convection of the Al 2 O 3–water nanofluids considering variable thermal conductivity around a vertical cone in porous media. Adv. Powd. Tech. 26: 224–235.
[11] Mehryan S.A., Kashkooli F.M., Ghalambaz M., Chamkha A.J. (2017) Free convection of hybrid Al2O3-Cu water nanofluid in a differentially heated porous cavity. Adv. Powd. Tech. 28: 2295–2305.
[12] Pop I., Ghalambaz M., Sheremet M. (2016) Free convection in a square porous cavity filled with a nanofluid using thermal non equilibrium and Buongiorno models. Int. J Num. Meth. H. 26: 671–693.
[13] Hoghoughi G., Izadi M., Oztop H.F., Abu-Hamdeh N. (2018) Effect of geometrical parameters on natural convection in a porous undulant-wall enclosure saturated by a nanofluid using Buongiorno's model. J Mol. Liq. 255: 148–159.
[14] Mehryan S.A., Izadi M., Sheremet M.A. (2018) Analysis of conjugate natural convection within a porous square enclosure occupied with micropolar nanofluid using local thermal non-equilibrium model. J Mol. Liq. 250: 353–368.
[15] Baytas A.C., Pop I. (1999) Free convection in oblique enclosures filled with a porous medium. Int J Heat Mass Trans. 42: 1047–1057.
[16] Basak T., Roy S., Paul T., Pop I. (2006) Natural convection in a square cavity filled with a porous medium: Effects of various thermal boundary conditions. Int J Heat Mass Trans. 49 1430–1441.
[17] Baytaş A.C., Liaqat A., Groşan T., Pop I. (2001) Conjugate natural convection in a square porous cavity. Heat Mass Trans.. 37: 467–473.
[18] Chamkha A.J., Ismael M.A. (2014) Natural convection in differentially heated partially porous layered cavities filled with a nanofluid. Numer.  Heat Tr. A-Appl. 65: 1089–1113.
[19] Izadi M., Hoghoughi G., Mohebbi R., Sheremet M. (2018 ) Nanoparticle migration and natural convection heat transfer of Cu-water nanofluid inside a porous undulant-wall enclosure using LTNE and two-phase model. J Mol. Liq. 261: 357-372
[20] Sundar L.S., Sousa A.C.M., Singh M.K. (2015)  Heat transfer enhancement of low volume concentration of carbon nanotube-Fe3O4/water hybrid nanofluids in a tube with twisted tape inserts under turbulent flow. J Therm. Sci. Eng. Appl.7: 21015.
[21] Kalidasan K., Kanna P.R. (2016) Effective utilization of MWCNT–water nanofluid for the enhancement of laminar natural convection inside the open square enclosure. J Twn. Inst. Chem. E.65: 331–340.
[22] Sheikholeslami M., Vajravelu K. (2017) Nanofluid flow and heat transfer in a cavity with variable magnetic field. Appl. Math. Comput. 298 272–282.
[23] Basak T., Roy S., Paul T., Pop I. (2006) Natural convection in a square cavity filled with a porous medium: effects of various thermal boundary conditions. Int. J. Heat. Mass. Tra.49: 1430–1441.