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Study of Heat Transfer Control with Magnetic Field Using Higher Order Finite Difference Scheme

  • R. Sivakumar (a1), S. Vimala (a2), S. Damodaran (a3) and T. V. S. Sekhar (a4)

Abstract.

The control of convective heat transfer from a heated circular cylinder immersed in an electrically conducting fluid is achieved using an externally imposed magnetic field. A Higher Order Compact Scheme (HOCS) is used to solve the governing energy equation in cylindrical polar coordinates. The HOCS gives fourth order accurate results for the temperature field. The behavior of local Nusselt number, mean Nusselt number and temperature field due to variation in the aligned magnetic field is evaluated for the parameters 5≤Re≤40, 0≤N≤20 and 0.065≤Pr≤7. It is found that the convective heat transfer is suppressed by increasing the strength of the imposed magnetic field until a critical value of N, the interaction parameter, beyond which the heat transfer increases with further increase in N. The results are found to be in good agreement with recent experimental studies.

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Corresponding author

*Corresponding author., Email:rsk.phy@pondiuni.edu.in (R. Sivakumar), vimalaks@pec.edu (S. Vimala), sreedamo@gmail.com (S. Damodaran), sekhartvs@iitbbs.ac.in (T. V. S. Sekhar)

References

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[1]Davidson, P. A., Magnetohydrodynamics in materials processing, Annu. Rev. Fluid Mech., 31 (1999), pp. 273300.
[2]Boynton, J. H., Experimental study of an ablating sphere with hydromagnetic effect included, J. Aerosp. Sci., 27 (1960), pp. 306.
[3]Uda, N., Miyazawa, A., Inoue, S., Yamaoka, N., Horiike, H. and Miyazaki, K., Forced convection heat transfer and temperature fluctuations of Lithium under transverse magnetic fields, J. Nuc. Sci. Tech., 38 (2001), pp. 936943.
[4]Yokomine, T., Takeuchi, J., Nakaharai, H., Satake, S., Kunugi, T., Morley, N. B., and Abdou, M. A., Experimental investigation of turbulent heat transfer of high Prandtl number fluid flow under strong magnetic field, Fusion Sci. Tech., 52 (2007), pp. 625629.
[5]Kenjeres, S., Electromagnetic enhancement of turbulent heat transfer, Phys. Rev. E, 78 (2008), 066309.
[6]Hussam, W. K. and Sheard, G. J., Heat transfer in a high Hartmann number MHD duct flow with a circular cylinder placed near the heated side-wall, Int. J. Heat Mass Transfer, 67 (2013), pp. 944954.
[7]Chatterjee, D. and Chatterjee, K., Wall-bounded flow and heat transfer around a circular cylinder at low Reynolds and Hartmann numbers, Heat Transfer-Asian Research, 42 (2013), pp. 133150.
[8]Ghadi, A. Z., Goodarzian, H., Bandpy, M. G. and Valipour, M. S., Numerical investigation of magnetic effect on forced convection around two-dimensional circular cylinder embedded in porous media, Eng. Appl. Comput. Fluid Mech., 6 (2012), pp. 395402.
[9]Lahjomri, J., Caperan, P. and Alemany, A., The cylinder wake in a magnetic field aligned with the velocity, J. Fluid Mech., 253 (1993), pp. 421448.
[10]Shatrov, V., Mutschke, G. and Gerbeth, G., Numerical simulation of the two-dimensional MHD-flow around a circular cylinder, Magnetohydrodynamics, 33 (1997), pp. 515.
[11]Mutschke, G., Gerbeth, G., Shatrov, V. and Tomboulides, A., Two- and three dimensional instabilities of the cylinder wake in an external magnetic field, Phys. Fluids, 9 (1997), pp. 31143116.
[12]Yoon, H. S., Chun, H. H., Ha, M. Y. and Lee, H. G., A numerical study on the fluid flow and heat transfer around a circular cylinder in an aligned magnetic field, Int. J. Heat Mass Trans., 47 (2004), pp. 40754087.
[13]Sanyasiraju, Y. V. S. S. and Manjula, V., Flow past an impulsively started circular cylinder using a higher-order semicompact scheme, Phys. Rev. E, 72 (2005), 016709.
[14]Sekhar, T. V. S. and Hema Sundar Raju, B., An efficient higher order compact scheme to capture heat transfer solutions in spherical geometry, Comput. Phys. Commun., 183 (2012), pp. 23372345.
[15]Sekhar, T. V. S. and Hema Sundar Raju, B., Spherical geometry HOC scheme to capture low pressures within a wake, East Asian J. Appl. Math., 3 (2013), pp. 93106.
[16]Bramely, J. S., Magnetohydrodynamic flow past a circular cylinder, J. Appl. Math. Phys., 25 (1974), pp. 409416.
[17]Bramely, J. S., Magnetohydrodynamic flow past a circular cylinder-II, J. Appl. Math. Phys., 26 (1975), pp. 203209.
[18]Sekhar, T. V. S., Sivakumar, R. and Ravi Kumar, T. V. R., Drag and pressure fields for the MHD flow around a circular cylinder at intermediate Reynolds numbers, J. Appl. Math., 2005 (2005), pp. 183203.
[19]Juncu, G. H., Conjugate heat/mass transfer from a circular cylinder with an internal heat/ mass source in laminar cross flow at low Reynolds numbers, Int. J. Heat Mass Transfer, 48 (2005), pp. 419424.
[20]Dennis, S. C. R., Hudson, J. D. and Smith, N., Steady laminar forced convection from a circular cylinder at low Reynolds numbers, Phys. Fluids, 11 (1968), pp. 933940.
[21]Kurdyumov, V. N. and Fernandez, E., Heat transfer from a circular cylinder at low Reynolds numbers, ASME J. Heat Transfer, 120 (1998), pp. 7275.

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Study of Heat Transfer Control with Magnetic Field Using Higher Order Finite Difference Scheme

  • R. Sivakumar (a1), S. Vimala (a2), S. Damodaran (a3) and T. V. S. Sekhar (a4)

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