THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

External Links

Elif Büyük Öğüt

MAGNETOHYDRODYNAMIC MIXED CONVECTION IN A LID-DRIVEN RECTANGULAR ENCLOSURE PARTIALLY HEATED AT THE BOTTOM AND COOLED AT THE TOP

ABSTRACT
In the present study, numerical simulation of magnetohydrodynamic (MHD) mixed convection heat transfer and fluid flow has been analyzed in a lid-driven enclosure provided with a constant flux heater. Governing equations were solved via differential quadrature (DQ) method. Moving wall of the enclosure has constant temperature and speed. The calculations were performed for different Richardson number ranging from 0.1 to 10, constant heat flux heater length from 0.2 to 0.8, location of heater center from 0.1 to 0.9, Hartmann number from 0 to 100 and aspect ratio from 0.5 to 2. Two different magnetic field directions were tested as vertical and horizontal. It was found that results of DQ method show good agreement with the results of literature. The magnetic field was more effective when it applied horizontally than that of vertical way. In both direction of magnetic field, it reduced the flow strength and heat transfer. Thus, it can be used as an important control parameter for heat and fluid flow.
KEYWORDS
magnetohydrodynamic, mixed convection, constant heat flux, DQ method
PAPER SUBMITTED: 2014-11-21
PAPER REVISED: 2015-03-08
PAPER ACCEPTED: 2015-04-24
PUBLISHED ONLINE: 2015-05-03
DOI REFERENCE: https://doi.org/10.2298/TSCI141121053O
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE Issue 2, PAGES [863 - 874]
REFERENCES
  1. Papanicolau, E., Jaluria, Y., Mixed Convection from a Localized Heat Source in a Cavity with Conducting Walls a Numerical Study, Numerical Heat Transfer, Part A, 23 (1993),4,pp. 463-484
  2. Guo, G., Sharif, M.A.R., Mixed Convection in Rectangular Cavities at Various Aspect Ratios with Moving Isothermal Sidewalls and Constant Flux Heat Source on the Bottom Wall, International Journal of Thermal Sciences, 43 (2004), 5,pp.465-475
  3. Oztop, H.F., Combined Convection Heat Transfer in a Porous Lid-Driven Enclosure due to Heater with Finite Length, Int. Comm. Heat Mass Transfer, 33 (2006),6,pp.772-779
  4. Ogut, E.B., Mixed Convection in an Inclined Lid-Driven Enclosure with a Constant Flux Heater using Differential Quadrature (DQ) Method, International Journal of the Physical Sciences, 5 (2010),15,pp. 2287-2303
  5. Kahveci, K., Ogut, E.B., Mixed Convection of Water-Based Nanofluids in a Lid-Driven Square Enclosure with a Heat Source, Heat Transfer Research, 42 (2011),8, pp. 711-735
  6. Oreper, G.M., Szekely, J., The Effect of an Externally Imposed Magnetic Field on Buoyancy Driven Flow in a Rectangular Cavity, Journal of Crystal Growth, 64 (1983),3,pp.505-515
  7. Ozoe, H., Maruo, M., Magnetic and Gravitational Natural Convection of Melted Silicon-Two Dimensional Numerical Computations for the Rate of Heat Transfer, JSME, 30 (1987), 263, pp. 774- 784
  8. Ece, M.C., Buyuk, E. Natural Convection Flow under a Magnetic Field in an Inclined Rectangular Enclosure Heated and Cooled on Adjacent Walls, Fluid Dyn. Res., 38 (2006),8,pp.564-590
  9. Oztop, H.F., et al., Numerical Simulation of Magnetohydrodynamic Buoyancy-Induced Flow in a Non-Isothermally Heated Square Enclosure, Comm Nonlinear Science Numerical Simulation, 14(2009),3,pp.770-778
  10. Ogut, E.B., Magnetohydrodynamic Natural Convection Flow in an Enclosure with a Finite Length Heater Using the Differential Quadrature (DQ) Method, Numerical Heat transfer Part A-Applications, 58 (2010),11, 900-921
  11. Hossain, M.A., et al., Buoyancy and Thermocapillary Driven Convection Flow of an Electrically Conducting Fluid in an Enclosure with Heat Generation, Int J Thermal Sci, 44 (2005), 7,pp.676-684
  12. Chamkha, A., Hydromagnetic Combined Convection Flow in a Vertical Lid-Driven Cavity with Internal Heat Generation or Absorption, Numerical Heat Transfer, Part A, 41 (2002),5,pp.529-546
  13. Chatterjee, D., Gupta, S.K., Hydromagnetic Mixed Convective Transport in a Nonisothermally Heated Lid-Driven Square Enclosure Including a Heat-Conducting Circular Cylinder, Industrial & Engineering Chemistry Research, 53 (2014),51, pp. 19775−19787
  14. Selimefendigil F., Öztop, H.F., Numerical study of MHD Mixed Convection in a Nanofluid Filled Lid Driven Square Enclosure with a Rotating Cylinder, International Journal of Heat and Mass Transfer 78 (2014), pp.741-754
  15. Ganji, D.D., Malvandi, A., Natural Convection of Nanofluids inside a Vertical Enclosure in the Presence of a Uniform Magnetic Field, Powder Technology, 263 (2014), pp. 50-57
  16. Aminossadati, S.M. et.al , Computational Analysis of Magnetohydrodynamic Natural Convection in a Square Cavity with a Thin Fin, European Journal of Mechanics B/Fluids, 46 (2014), pp. 154-163
  17. Sutton, G.W., Sherman, A., Engineering Magnetohydrodynamics, McGraw-Hill, New York, 1965
  18. Bellman, R.E., Casti, J., Differential Quadrature and Long Term Integration, J. Math. Anal. Appl, 34 (1971),2,pp. 235-238
  19. Shu, C., Richards, B.E., Application of Generalized Differential Quadrature to Solve Two-Dimension Incompressible Navier-Stokes Equations, Int J Numer Methods Fluids, 15 (1992),7,pp. 791-798
  20. Shu, C., Richards, B.E., Parallel Simulation of Incompressible Viscous Flows by Generalized Differential Quadrature, Comput System Eng, 3 (1992), 1-4, pp. 271-281
  21. Kahveci, K, Oztuna S., MHD Natural Convection Flow and Heat Transfer in a Laterally Heated Partitioned Enclosure, European Journal of Mechanics B/Fluids, 28 (2009), pp.744-752
  22. Ece, M. C. ve E. Büyük, Natural Convection Flow Under a Magnetic Field in an Inclined Rectangular Enclosure Heated and Cooled on Adjacent Walls, Fluid Dynamics Research, 38 (2006), 564-590
  23. Ece, M. C. ve E. Büyük, The Effect of an External Magnetic Field on Natural Convection in an Inclined Rectangular Enclosure, Proceedings of the Institution of Mechanical Engineers, Part C, Journal of Mechanical Engineering Science, 221, (2007),pp.1609-1622
  24. Rudraiah, N., et al., Effect of a Magnetic Field on Free Convection in a Rectangular Enclosure, Int. J. Engng. Sci., 33 (1995),8,pp. 1075-1084
  25. Torrance, K., et al., Cavity Flows Driven by Buoyancy and Shear, J Fluid Mec., 2 (1972),51,pp.221-231
PDF VERSION [DOWNLOAD]
Magnetohydrodynamic mixed convection in a lid-driven rectangular enclosure partially heated at the bottom and cooled at the top

© 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