The onset of convection in porous layers with multiple horizontal partitions

Rees D. A. S., Genc G.

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, cilt.54, ss.3081-3089, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 54
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.ijheatmasstransfer.2011.02.002
  • Dergi Adı: INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3081-3089
  • Anahtar Kelimeler: Partitioned porous layer, Onset of convection, Critical Darcy-Rayleigh number, Dispersion relation, Asymptotic analysis, THERMAL-CONVECTION
  • Erciyes Üniversitesi Adresli: Evet

Özet

In this paper we investigate the onset of convection in a horizontally partitioned porous layer which is heated from below. Identical sublayers are separated by thin impermeable barriers. A linear stability analysis is performed, and dispersion relations are obtained directly and explicitly for two- and three-layer configurations. A systematic numerical procedure is devised to compute the dispersion relation for an arbitrary number of sublayers, but from this it is possible to guess the correct analytical form of the dispersion relation for general cases.