Study of Heat Transport in a Porous Medium Under G-jitter and Internal Heating Effects

B. S. Bhadauria, Ishak Hashim, P. G. Siddheshwar

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

In this article we study the combined effect of internal heating and time-periodic gravity modulation on thermal instability in a closely packed anisotropic porous medium, heated from below and cooled from above. The time-periodic gravity modulation, considered in this problem can be realized by vertically oscillating the porous medium. A weak non-linear stability analysis has been performed by using power series expansion in terms of the amplitude of gravity modulation, which is assumed to be small. The Nusselt number has been obtained in terms of the amplitude of convection which is governed by the non-autonomous Ginzburg-Landau equation derived for the stationary mode of convection. The effects of various parameters such as; internal Rayleigh number, amplitude and frequency of gravity modulation, thermo-mechanical anisotropies, and Vadász number on heat transport has been analyzed. It is found that the response of the convective system to the internal Rayleigh number is destabilizing. Further it is found that the heat transport can also be controlled by suitably adjusting the external parameters of the system.

Original languageEnglish
Pages (from-to)21-37
Number of pages17
JournalTransport in Porous Media
Volume96
Issue number1
DOIs
Publication statusPublished - Jan 2013

Fingerprint

Jitter
Porous materials
Gravitation
Modulation
Heating
Nusselt number
Anisotropy
Hot Temperature
Convection

Keywords

  • Ginzburg-Landau equation
  • Gravity modulation
  • Internal heating
  • Non-linear stability analysis

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Catalysis

Cite this

Study of Heat Transport in a Porous Medium Under G-jitter and Internal Heating Effects. / Bhadauria, B. S.; Hashim, Ishak; Siddheshwar, P. G.

In: Transport in Porous Media, Vol. 96, No. 1, 01.2013, p. 21-37.

Research output: Contribution to journalArticle

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