THERMAL SCIENCE

International Scientific Journal

Sivanandam Sivasankaran

,

Marimuthu Bhuvaneswari

EFFECT OF THERMALLY ACTIVE ZONES AND DIRECTION OF MAGNETIC FIELD ON HYDROMAGNETIC CONVECTION IN AN ENCLOSURE

ABSTRACT
The aim of the present numerical study is to investigate the effect of thermally active zones and direction of the external magnetic field on hydromagnetic convection in an enclosure. Nine different relative positions of the thermally active zones are considered. Top and bottom of the enclosure are adiabatic. The governing equations are solved by the finite volume method. The results are obtained for different directions of the external magnetic field, thermally active locations, Hartmann numbers, Grashof numbers and aspect ratios. It is observed that the heat transfer is enhanced for heating location is either at middle or at bottom of the hot wall while the cooling location is either at top or at middle of the cold wall. The flow field is altered when changing the direction of the magnetic field in the presence of strong magnetic field. The average Nusselt number decreases with an increase of the Hartmann number and increases with increase of the Grashof number and aspect ratio.
KEYWORDS
natural convection, magnetic field, partially active walls, finite volume method, enclosure
PAPER SUBMITTED: 2010-02-10
PAPER REVISED: 2011-02-01
PAPER ACCEPTED: 2011-10-06
DOI REFERENCE: https://doi.org/10.2298/TSCI100221094S
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2011, VOLUME 15, ISSUE Supplement 2, PAGES [S367 - S382]
REFERENCES
  1. Kuhn, D., Oosthuizen, P.H., Unsteady natural convection in a partially hearted rectangular enclosure, Journal of Heat Transfer, 109 (1987), pp. 798 - 801
  2. Tanda, G., Natural convection in partially heated vertical channels, Heat and Mass Transfer, 23 (1988), pp. 307-312
  3. Valencia, A., Frederick, R. L., Heat transfer in square cavities with partially active vertical walls, International Journal of Heat and Mass Transfer, 32 (1989), pp. 1567-1574
  4. Ho, C. J., Chang, J. Y., A study of natural convection heat transfer in a vertical rectangular enclosure with two-dimensional discrete heating: Effect of aspect ratio, International Journal of Heat and Mass Transfer, 37 (1994), 6, pp. 917 - 925
  5. Yucel, N., Turkoglu, H., Natural convection in rectangular enclosures with partial heating and cooling, Heat and Mass Transfer, 29 (1994), pp. 471 - 478
  6. El-Refaee, M.M., Elsayed, M.M., Al-Najem, N.M., Noor, A.A., Natural convection in partially cooled tilted cavities, International Journal of Numerical Methods in Fluids, 28 (1998), pp. 477 - 499
  7. Nithyadevi, N., Kandaswamy, P., Sivasankaran, S., Natural Convection on a Square Cavity with Partially Active Vertical Walls: Time Periodic Boundary Condition, Mathematical Problems in Engineering, 2006 (2006), pp. 1 - 16
  8. Kandaswamy, P., Sivasankaran, S., Nithyadevi, N., Buoyancy-driven convection of water near its density maximum with partially active vertical walls, International Journal of Heat and Mass Transfer, 50 (2007), pp. 942 - 948
  9. Chen, T.H., Chen, L.Y., Study of buoyancy-induced flows subjected to partially heated sources on the left and bottom walls in a square enclosure, International Journal of Thermal Sciences, 46 (2007), pp. 1219-1231
  10. Oztop, H.F., Abu-Nada, E., Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids, International Journal of Heat and Fluid Flow, 29 (2008) pp. 1326-1336
  11. Arici, M.E., Sahin, B., Natural convection heat transfer in a partially divided trapezoidal enclosure, Thermal Science, 13(4) (2009), pp. 213 - 220
  12. Sivakumar, V., Sivasankaran, S ., Prakash, P., Lee, J., Effect of heating location and size on mixed convection in lid-driven cavity, Computers & Mathematics with Applications, 59 (2010), pp. 3053-3065.
  13. Aich, W., Hajri, I., Omri, A., Numerical analysis of natural convection in a prismatic enclosure, Thermal Science, 15(2) (2011), pp. 437-446
  14. Delavar, M.A., Farhadi, M., Sedighi, K., Effect of discrete heater at the vertical wall of the cavity over the heat transfer and entropy generation using lattice Boltzmann method, Thermal Science, 15(2) (2011), pp. 423-435
  15. Sivasankaran, S., Do, Y., Sankar, M., Effect of Discrete Heating on Natural Convection in a Rectangular Porous Enclosure, Transport in Porous Media, 86 (2011), 291-311
  16. Sankar, M., Bhuvaneswari, M., Sivasankaran, S., Do, Y., Buoyancy Induced Convection in a Porous Enclosure with Partially Active Thermal Walls, International Journal of Heat and Mass Transfer, 54 (2011) pp. 5173-5182
  17. Terekhov, V.I., Chichindaev, A.V., Ekaid, A.l., Buoyancy heat transfer in staggered dividing square enclosure, Thermal Science, 15(2) (2011), pp. 409 - 422
  18. Bhuvaneswari, M., Sivasankaran S., Kim, Y.J., Effect of aspect ratio on convection in a porous enclosure with partially active thermal walls, Computers & Mathematics with Applications, (2011), in press (doi:10.1016/j.camwa.2011.09.033)
  19. Rudraiah, N., Barron, R.M., Venkatachalappa, M., Subbaraya, C.K., Effect of a magnetic field on free convection in a rectangular enclosure, International Journal of Engineering Science, 33 (1995), 8, pp. 1075-1084
  20. Khanafer, K.M., Chamkha, A.J., Hydromagnetic natural convection from an inclined porous square enclosure with heat generation, Numerical Heat transfer A, 33 (1998), pp. 891 - 910
  21. Qi, J., Wakayama, N.I., Yabe, A., Attenuation of natural convection by magnetic force in electro-nonconducting fluids, Journal of Crystal Growth, 204 (1999), pp. 408 - 412
  22. Hossain, M.A, Hafiz, M.Z., Rees, D.A.S., Buoyancy and thermocapillary driven convection flow of an electrically conducting fluid in an enclosure with heat generation, International Journal of Thermal Sciences, 44, (2005), pp. 676 - 684
  23. Sarris, I.E., Kakarantzas, S.C., Grecos, A.P., Vlachos, N.S., MHD natural convection in a laterally and volumetrically heated square cavity, International Journal of Heat and Mass Transfer, 48 (2005), pp. 3443 - 3453
  24. Sivasankaran, S., Ho, C.J., Effect of temperature dependent properties on MHD convection of water near its density maximum in a square cavity, International Journal of Thermal Sciences, 47 (2008), pp. 1184-1194
  25. Younsi, R., Computational analysis of MHD flow, heat and mass transfer in trapezoidal porous cavity, Thermal Science, 13(1) (2009), pp. 13-22
  26. Kolsi, L., Abidi, A., Borjini, M.N., Aïssia, H.B., The effect of an external magnetic field on the entropy generation in three-dimensional natural convection, Thermal Science, 14(2) (2010), pp. 341-352
  27. Bhuvaneswari, M., Sivasankaran S., Kim, Y.J., Magneto-convection in an Enclosure with Sinusoidal Temperature Distributions on Both Side Walls, Numerical Heat Transfer A, 59 (2011), pp. 167-184
  28. Sivasankaran, S., Malleswaran, A., Lee, J., Sundar P., Hydro-magnetic combined convection in a lid-driven cavity with sinusoidal boundary conditions on both sidewalls, International Journal of Heat and Mass Transfer, 54 (2011), pp. 512-525
  29. Sivasankaran, S., Bhuvaneswari, M., Kim, Y.J., Ho, C.J., Pan, K.L., Magneto-convection of cold water near its density maximum in an open cavity with variable fluid properties, International Journal of Heat and Fluid Flow, 32 (2011), pp. 932-942
  30. Sivasankaran, S., Bhuvaneswari, M., Lee, J., Effect of the partition on hydro-magnetic convection in a partitioned enclosure, Arabian Journal of Science & Engineering, (2011), in press (doi:10.1007/s13369-011-0110-4)
  31. Patankar, S. V., Numerical heat transfer and fluid flow. Hemisphere, McGraw-Hill, Washington, DC., 1980
  32. Davis, G.D.V., Natural convection of air in a square cavity: A bench mark numerical solution, International Journal of Numerical Methods for Fluids, 3 (1983), pp. 249 - 264
  33. Emery, A.F., Lee, J.W., The effects of property variations on natural convection in a square enclosure, Journal of Heat Transfer, 121 (1999), pp. 57 - 62
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Effect of thermally active zones and direction of magnetic field on hydromagnetic convection in an enclosure

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