THERMAL SCIENCE

International Scientific Journal

MHD FLOW AND HEAT TRANSFER OF TWO IMMISCIBLE FLUIDS WITH INDUCED MAGNETIC FIELD EFFECTS

ABSTRACT
The paper investigates the magnetohydrodynamic flow of two immiscible, electrically conducting fluids between isothermal and insulated moving plates in the presence of an applied electric and inclined magnetic field with the effects of induced magnetic field. Partial differential equations governing the flow and heat transfer and magnetic field conservation are transformed to ordinary differential equations and solved exactly in both fluid regions, under physically appropriate boundary and interface conditions. Closed-form expressions are obtained for the non-dimensional velocity, non-dimensional induced magnetic field and nondimensional temperature. The analytical results for various values of the Hartmann number, the angle of magnetic field inclination, loading parameter and the ratio of plates’ velocities are presented graphically to show their effect on the flow and heat transfer characteristics. [Projekat Ministarstva nauke Republike Srbije, br. TR 35016]
KEYWORDS
PAPER SUBMITTED: 2012-04-30
PAPER REVISED: 2012-06-20
PAPER ACCEPTED: 2012-06-29
DOI REFERENCE: https://doi.org/10.2298/TSCI120430172S
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2012, VOLUME 16, ISSUE Supplement 2, PAGES [S323 - S336]
REFERENCES
  1. Blum, Ya. E., Heat and mass transfer in magnetic field, Magnetohydrodynamics, 11 (1967), 1, pp. 27- 36.
  2. Hunt, J. C., Holroyd, R. J., Applications of laboratory and theoretical MHD duct flow studies in fusion reactor technology, Technical Report CLM-R169, Culham Laboratory, Oxfordshire, UK, 1977.
  3. Morley, N. B. et al., Thermofluid magnetohydrodynamic issues for liquid breeders, Fusion Science and Technology 47 (2005), pp. 488-501.
  4. Davidson P. A., Pressure forces in the MHD Propulsion of Submersibles, Magnetohydrodynamics, 29, (1993), 3, pp. 49-58.
  5. Tsinober, A., MHD-Drag Reduction, in: Viscous Drag Reduction in Boundary Layers, AIAA Progress in Aeronautics and Astronautics, 123 (1990), pp. 327-349.
  6. Younsi, R., Computational analysis of MHD flow, heat and mass transfer in trapezoidal porous cavity, Thermal Science, 13 (2009), 1, pp. 13-22.
  7. Mohamed, A. A., Flow and heat transfer over an unsteady stretching surface with Hall effect, Meccanica, 45 (2010), 1, pp.97-109.
  8. Sharma, P. R., Singh, G., Effects of ohmic heating and viscous dissipation on steady MHD flow near a stagnation point on an isothermal stretching sheet, Thermal Science, 13 (2009), 1, pp.5-12.
  9. Vadher P.A. et al., Performance of hydromagnetic squeeze films between conducting porous rough conical plates, Meccanica, 45 (2010), 6, pp. 767-783.
  10. Kumar, H., Radiative heat transfer with hydromagnetic flow and viscous dissipation over a stretching surface in the presence of variable heat flux, Thermal Science, 13 (2009), 2, pp. 163-169.
  11. Borièiæ, Z. et al., Universal equations of unsteady two-dimensional MHD boundary layer whose temperature varies with time, Theoretical and Applied Mechanics, 36 (2009), 2, pp. 119-135.
  12. Obroviæ, B. et al., Boundary layer of dissociated gas on bodies of revolution of a porous contour, Strojniški vestnik - Journal of Mechanical Engineering 55 (2009), 4, pp.244-253.
  13. Xu, H. et al., Series solutions of unsteady three-dimensional MHD flow and heat transfer in the boundary layer over an impulsively stretching plate, European Journal of Mechanics B/Fluids, 26 (2007), 1, pp. 15-27.
  14. Borièiæ, Z. et al., Universal solutions of unsteady two-dimensional MHD boundary layer on the body with temperature gradient along surface, WSEAS Transactions on Fluid Mechanics, 4 (2009), 3, pp.97- 106.
  15. Kessel, C. E. et al., Physics basis and simulation of burning plasma physics for the fusion ignition research experiment (FIRE), Fusion Engineering and Design, 63-64 (2002), pp.559-567.
  16. Pesochin V. R. Acoustic instability while combusting aluminum particles in MHD facilities, Doklady Physics, 47 (2002), 3, pp.215-218.
  17. Sharma P.R., Singh G., Effects of variable thermal conductivity, viscous dissipation on steady MHD natural convection flow of low Prandtl fluid on an inclined porous plate with Ohmic heating, Meccanica, 45, (2010), 2, pp. 237-247.
  18. Davidson, P. A., Magnetohydrodynamics in materials processing, Annual Review of Fluid Mechanics, 31 (1999), pp. 273-300.
  19. Alireza, S., Sahai, V., Heat transfer in developing magnetohydrodynamic Poiseuille flow and variable transport properties, International Journal of Heat and Mass Transfer, 33 (1990), 8, pp. 1711-1720.
  20. Malashetty, M. S. et al., Convective MHD two fluid flow and heat transfer in an inclined channel, Heat and Mass Transfer, 37 (2001), 2-3, pp. 259-264.
  21. Malashetty, M. S. et al., Two fluid flow and heat transfer in an inclined channel containing porous and fluid layer, Heat and Mass Transfer 40 (2004), 11, pp. 871-876.
  22. Umavathi, J.C. et al., Oscillatory Hartmann two-fluid flow and heat transfer in a horizontal channel, International Journal of Applied Mechanics and Engineering, 11 (2006), 1, pp. 155-178.
  23. Umavathi, J.C. et al., Unsteady two-fluid flow and heat transfer in a horizontal channel, Heat and Mass Transfer, 42 (2005), 2, pp. 81-90.
  24. Malashetty, M. S., Umavathi, J.C., Kumar, J. P., Magnetoconvection of two immiscible fluids in vertical enclosure, Heat and Mass Transfer, 42 (2006), pp. 977-993.
  25. Ghosh, S. K. et al., Hydromagnetic free convection flow with induced magnetic field effects, Meccanica, 45 (2010), 2, pp. 175-185.
  26. Bég, O. A. et al., Nonsimilar, laminar, steady, electrically-conducting forced convection liquid metal boundary layer flow with induced magnetic field effects, International Journal of Thermal Science, 48 (2009), 8, pp. 1596-1606.

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence