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Non-linear spectral analysis of Rayleigh-Benard convection in a high-porosity medium

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Języki publikacji
EN
Abstrakty
EN
A local non-linear stability analysis using the spectral method is made of the Rayleigh-Benard situation in a high-porosity porous medium. The series expansion solution so obtained is valid for a large range of imposed temperature differences and yields a quantitative estimate of the heat transport by convection. Streamline patterns and mean temperature distributions have been obtained. The temperature distributions show that at the middle of the fluid-filled porous layer a layer of isothermal mean temperature develops, thus limiting the major heat transport to thermal boundary layers. The damping nature of porous media on heat transport is also clearly brought out.
Rocznik
Strony
1305--1328
Opis fizyczny
Bibliogr. 13 poz., tab., rys., wykr
Twórcy
  • V.L.B. Janakiammal College of Arts and Science Coimbatore, INDIA
Bibliografia
  • [1] Brenner H. (1970): Rheology of two-phase systems. - Ann. Rev. Fluid Mech., vol.2, pp.137-148.
  • [2] Kuo H.L. and Platzman G.W. (1961): A normal mode non-linear solution of the Rayleigh convection problem. - Beit. Phys. d. Atmosphere, Bd, vol.33, pp.137-168.
  • [3] Lapwood E. R. (1948): Convection of a fluid in a porous medium. - Proc. Camb. Phil. Soc., vol.44, pp.508-523.
  • [4] Malkus W.V.R. and Veronis G. (1958): Finite-amplitude cellular convection. - J. Fluid Mech., vol.4, pp.225-240.
  • [5] Nield D.A. (1968): Onset of thermohaline convection in a porous medium. - Water Resources, vol.4, pp.553-560.
  • [6] Poulikakos D. (1977): Double diffusive convection in a horizontal sparsely packed porous medium. - J. Fluid Mech., vol.89, pp.513-524.
  • [7] Rajagopal K.R. and Tao L. (1995): Theory of Mixtures. - World Scientific.
  • [8] Rajagopal K.R., Ruzicka M. and Srinivasa A. (1996): On the Oberbeck-Boussinesq approximations. - Mathematical Models and Methods in Applied Sciences, vol.6, pp. 1157-1167.
  • [9] Rudraiah N. and Veerabhadraiah R. (1978): Effects of buoyancy on the free surface flow past a permeable bed. - Warme-und Stoffubertragung, vol.l 1, pp.265-275.
  • [10] Rudraiah N. and Balachandra Rao S. (1982): Nonlinear cellular convection and heat transport in a porous medium. - Appl. Sci. Res., vol.39, pp.21-43.
  • [11] Ruth D.W. (1980): Model for convection in horizontal porous media layers. - AIAA 18th Aerospace Sciences Meeting, pp.90-102.
  • [12] Tam C.K.W. (1969): The drag on a cloud of spherical particles in low Reynolds number flow. - J. Fluid Mech., vol.38, pp.537-544.
  • [13] Taylor G.I. (1971): A model for the boundary conditions of a porous material - Part /. - J. Fluid Mech., vol.49, pp.319-332.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0001-0070
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