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On Bénard convection in a porous medium in the presence of throughflow and rotation in hydromagnetics

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The effect of throughflow on a layer of a rotating fluid heated from below in porous medium in the presence of vertical magnetic field is considered. For the case of stationary convection, the rotation has always a stabilizing effect. The medium permeability has always a destabilizing effect whereas the magnetic field and the throughflow have always a stabilizing effects in the absence of rotation. But in the presence of rotation, the medium permeability is found to have a destabilizing effect whereas the magnetic field and the throughflow have a stabilizing effects under certain conditions. Graphs have been plotted by giving numerical values to the parameters, to depict the stability characteristics. The magnetic field and rotation introduce oscillatory modes in the system, which were nonexistent in their absence. The sufficient conditions for non-existence of the overstability are also obtained.
Rocznik
Strony
257--274
Opis fizyczny
Bibliogr. 15 poz., wykr.
Twórcy
autor
  • Department of Applied Sciences, National Institute of Technology, Hamirpur, (H.P')-177 005, India
autor
  • Department of Applied Sciences, National Institute of Technology, Hamirpur, (H.P')-177 005, India
autor
  • Department of Mathematics, Himachal Pradesh University, Summer Hill, Shimla-171 005, India
Bibliografia
  • 1. S. CHANDRASEKHAR, Hydrodynamic and hydromagnetic stability, Dover Publications, New York 1981.
  • 2. D. L. SHVARTSBLAT, The spectrum of perturbations and convective instability of a plane horizontal fluid layer with permeable boundaries, J. Appl. Mech. (PMM), 32, 266-271, 1968.
  • 3. D. L. SHVARTSBLAT, Steady convective motions in a plane horizontal fluid layer with permeable boundaries, Fluid Dyn., 4, 54- 59, 1969. (Translation from Izv. Akad. Nauk SSSR, Fiz. Zhidkosti i Gaza.)
  • 4. D. L. SHVARTSBLAT, Numerical analysis of a steady convective flow in a plane horizontal fluid layer [in Russian], Uchen. Zap. Perm Univ. No. 248, Gidrodinamika, 3, 97, 1971.
  • 5. G. Z. GERSHUNI, and E. M. ZHUKHOVITSKII, Convective stability of incompressible fluids, Jerusalem: Keter Publishing House, 1976.
  • 6. R. KRISHNAMURTI, On cellular cloud patterns. Part 1: Mathematical model, J. Atmos. Sci., 32, 1353-1363, 1975.
  • 7. R. KRISHNAMURTI, On cellular cloud patterns. Part 2: Mathematical model, J . Atmos. Sci., 32, 1364-1372, 1975.
  • 8. R. KRISHNAMURTI, On cellular cloud patterns. Part 3: Mathematical model, J . Atmos. Sci., 32, 1373-1383, 1975.
  • 9. R. C. SOMERVILLE and T. GAL-CHEN, Numerical simulation of convection with vertical motion, J. Atmos. Sci., 36, 805-815, 1979.
  • 10. D. A. NIELD, Throughflow effects in the Rayleigh-Benard convection instability problem, J. Fluid Mech., 185, 353- 360, 1987.
  • 11. W. C. CHIN, Wave propagation in petroleum engineering, Gulf Publishing Company, Houston, USA, 1993.
  • 12. O. M. PHILLIPS, Flow and reaction in permeable rocks, Cambridge University Press, Cambridge, 1991.
  • 13. G. M. HOMSY and A. E. SHERWOOD, Convective instabilities in porous medium with through flow, A.I.Ch.E., 22,1,168-174, 1976.
  • 14. D. A. NIELD, Convective instability in porous medium with throughflow, A. I. Ch. E., 33, 7, 1222-1224, 1987.
  • 15. E. M. SPARROW and L. GOLDSTEI, Effect of rotation and coolant throughflow on the heat transfer and temperature field in an enclosure, J . Heat Transfer, 98, 387- 394, 1976.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT4-0002-0099
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