THERMAL SCIENCE

International Scientific Journal

FLOW AND HEAT TRANSFER OF THREE IMMISCIBLE FLUIDS IN THE PRESENCE OF UNIFORM MAGNETIC FIELD

ABSTRACT
The magnetohydrodynamic flow of three immiscible fluids in a horizontal channel with isothermal walls in the presence of an applied magnetic field has been investigated. All three fluids are electrically conducting, while the channel plates are electrically insulated. The general equations that describe the discussed problem under the adopted assumptions are reduced to ordinary differential equations and closed-form solutions are obtained in three fluid regions of the channel. Separate solutions with appropriate boundary conditions for each fluid have been obtained and these solutions have been matched at the interface using suitable boundary conditions. The analytical results for various values of the Hartmann number, the ratio of fluid heights and thermal conductivities have been presented graphically to show their effect on the flow and heat transfer characteristics. [Projekat Ministarstva nauke Republike Srbije, br. TR 35016]
KEYWORDS
PAPER SUBMITTED: 2014-02-03
PAPER REVISED: 2014-06-02
PAPER ACCEPTED: 2014-06-04
PUBLISHED ONLINE: 2014-09-06
DOI REFERENCE: https://doi.org/10.2298/TSCI1403019N
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2014, VOLUME 18, ISSUE Issue 3, PAGES [1019 - 1028]
REFERENCES
  1. Blum, E. L., et al., Heat Exchange and Mass Exchange in Magnetic Field, Zinatne, 223, 1967
  2. Cramer, K. R., Pai, S. I., Magnetofluid Dynamics for Engineers and Applied Physicists, McGraw-Hill, New York, N. Y., USA, 1973
  3. Soundalgekar, V. M., Uplekar, A. G., Hall Effects in MHDCouette Flow with Heat Transfer, IEEE Transactions on Plasma Science, PS-14, (1986) 4, pp. 579-583
  4. Attia, H. A., Hall Current Effects on the Velocity and Temperature Fields of an Unsteady Hartmann Flow, Canadian Journal of Physics, 76 (1998), 9, pp. 739-746
  5. Kiyasatfar, M., et al., Investigation of Thermal Behavior and Fluid Motion in DC Magnetohydrodynamic Pumps, Thermal Science, 18 (2014), Suppl. 2, pp. S551-S562
  6. Vyas, P., Srivastava, N., Radiative MHD Compressible Couette Flow in a Parallel Channel with a Naturally Permeable Wall, Thermal Science, 18 (2014), Suppl. 2, pp. S573-S585
  7. Yang, H. K., Yu, C. P., Combined Forced and Free Convection MHD Channel Flow in Entrance Region, International Journal of Heat and Mass Transfer, 17 (1974), 6, pp. 681-691
  8. Bodosa, G., Borkakati, A. K., MHD Couette Flow with heat Transfer between Two Horizontal Plates in the Presence of a Uniform Transverse Magnetic Field, Journal of Theoretical and Applied Mechanics, 30 (2003) 1, pp. 1-9
  9. Ghosh, S. K., A Note on Steady and Unsteady Hydromagnetic Flow in a Rotating Channel in the Presence of Inclined Magnetic Field, International Journal of Engineering Science, 29 (1991) 8, pp. 1013-1016
  10. Borkakati, A. K., Chakrabarty, S., Unsteady Free Convection MHD Flow between Two Heated Vertical Parallel Plates in Induced Magnetic Field, Indian Journal of Theoretical Physics, 47 (1999), pp. 143-160
  11. Aydin, O., Avci, M., Laminar Forced Convection with Viscous Dissipation in a Couette-Poiseuille Flow between Parallel Plates, Applied Energy, 83 (2006), 8, pp. 856-867
  12. Singha, K. G., Analytical Solution to the Problem of MHD Free Convective Flow of an Electrically Conducting Fluid between Two Heated Parallel Plates in the Presence of an induced Magnetic Field,, International Journal of Applied Mathematics and Computation, 1 (2009), 4, pp. 183-193
  13. Shail, R., On Laminar Two-Phase Flows in Magnetohydrodynamics", International Journal of Engineering Science, 11 (1973), 10, pp. 1103-1108
  14. Lohrasbi, J., Sahai, V., Magnetohy-Drodynamic Heat Transfer in Two-Phase Flow between Parallel Plates, Applied Scientific Research, 45 (1988), 1, pp. 53-66
  15. Malashetty, M. S., et al., Convective Magnetohydrodynamic Two Fluid Flow and Heat Transfer in an Inclined channel, Heat and Mass Transfer, 37 (2001), 2-3, pp. 259-264
  16. 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
  17. 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
  18. 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
  19. Nikodijevi}, D., et al., Flow and Heat Transfer of Two Immiscible Fluids in the Presence of Uniform Inclined Magnetic Field, Mathematical Problem in Engineering, Vol. 2011, doi: 10.1155/2011/132302
  20. Haiwang, L., et al., Analytical Model of Mixed Electroosmotic/Pressure Driven Three Immiscible Fluids in a Rectangular Microchannel, International Journal of Heat and Mass Transfer, 52 (2009), pp. 4459-4469
  21. Hormozia, S., et al., Multi-Layer Channel Flows with Yield Stress Fluids, Journal of Non-Newtonian Fluid Mechanics, 166 (2011), 5-6, pp. 262-278
  22. Li, J., et al., Analysis of Multi-Layer Immiscible Fluid Flow in a Microchannel, Journal of Fluids Engineering, DOI: 10.1115/1.4005134
  23. Haim, H. B., et al., A Magneto-Hydrodynamically Controlled Fluidic Network, Sensors and Actuators B, 88 (2003), 2, pp. 205-216
  24. Hussameddine, S. K., et al., Analytical Prediction of Flow Field in Magneto-Hydrodynamic-Based Microfluidic Devices, Journal of Fluids Engineering, DOI: 10.1115/1.2953302
  25. Yi, M., et al., A Magnetohy-Drodynamic Chaotic Stirrer, Journal of Fluid Mechanics, 468 (2002), pp. 153-177
  26. Weston, M. C., et al., Magnetic Fields for Fluid Motion, Analytical Chemistry, 82 (2010), 9, pp. 3411-3418

© 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