Effects of Time-Periodic Thermal Boundary Conditions and Internal Heating on Heat Transport in a Porous Medium

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

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

The effects of time-periodic boundary temperatures and internal heating on Nusselt number in the Bénard-Darcy convective problem has been considered. The amplitudes of temperature modulation at the lower and upper surfaces are considered to be very small. By performing a weakly non-linear stability analysis, the Nusselt number is 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 internal Rayleigh number, amplitude and frequency of modulation, thermo-mechanical anisotropies, and Vadasz number on heat transport have been analyzed and depicted graphically. Increasing values of internal Rayleigh number results in the enhancement of heat transport in the system. Further, the study establishes that the heat transport can be controlled effectively by a mechanism that is external to the system.

Original languageEnglish
Pages (from-to)185-200
Number of pages16
JournalTransport in Porous Media
Volume97
Issue number2
DOIs
Publication statusPublished - 2013

Fingerprint

Porous materials
Boundary conditions
Nusselt number
Heating
Modulation
Anisotropy
Temperature
Hot Temperature
Convection

Keywords

  • Ginzburg-Landau Equation
  • Internal heating
  • Non-linear stability analysis
  • Temperature modulation

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Catalysis

Cite this

Effects of Time-Periodic Thermal Boundary Conditions and Internal Heating on Heat Transport in a Porous Medium. / Bhadauria, B. S.; Hashim, Ishak; Siddheshwar, P. G.

In: Transport in Porous Media, Vol. 97, No. 2, 2013, p. 185-200.

Research output: Contribution to journalArticle

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