Experimental confirmation and analytical results of centrifugally-driven free convection in rotating porous media

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12 Citations (Scopus)

Abstract

Experimental confirmation of theoretical results related to centrifugally-driven free convection in porous media is presented. Theoretically, an extension of Darcy's law is required for analyzing the centrifugal buoyancy effect, a process that requires both theoretical and experimental justification; otherwise, the centrifugal buoyancy term can be regarded as insignificantly small and can be neglected. This paper's major objective is to provide this theoretical and experimental justification. The theoretical part of this paper consists of providing the derivation of the appropriate governing equations and analytical results obtained by means of a perturbation technique. The experimental part of this paper focuses on qualitative convection results in a rotating Hele-Shaw cell. Hele-Shaw cells play an important role in providing an analogous experimental tool to analyze two-dimensional flow and heat transfer in porous media. The temperature and flowfields resulting from centrifugally-driven free convection in a rotating Hele-Shaw cell are visualized by using a thermosensitive liquid-crystal tracer. The experimental results are compared qualitatively with theoretical predictions of flow and temperature fields in a rotating porous layer.

Original languageEnglish (US)
Pages (from-to)261-272
Number of pages12
JournalJournal of Porous Media
Volume1
Issue number3
StatePublished - 1998
Externally publishedYes

Fingerprint

Free Convection
Buoyancy
Natural convection
free convection
Porous Media
Porous materials
Rotating
Hele-Shaw
buoyancy
Liquid Crystals
Perturbation techniques
cells
Liquid crystals
Flow fields
Temperature distribution
two dimensional flow
Justification
Flow Field
Heat transfer
Cell

ASJC Scopus subject areas

  • Mechanical Engineering
  • Materials Science(all)
  • Physical and Theoretical Chemistry
  • Fluid Flow and Transfer Processes
  • Catalysis

Cite this

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AB - Experimental confirmation of theoretical results related to centrifugally-driven free convection in porous media is presented. Theoretically, an extension of Darcy's law is required for analyzing the centrifugal buoyancy effect, a process that requires both theoretical and experimental justification; otherwise, the centrifugal buoyancy term can be regarded as insignificantly small and can be neglected. This paper's major objective is to provide this theoretical and experimental justification. The theoretical part of this paper consists of providing the derivation of the appropriate governing equations and analytical results obtained by means of a perturbation technique. The experimental part of this paper focuses on qualitative convection results in a rotating Hele-Shaw cell. Hele-Shaw cells play an important role in providing an analogous experimental tool to analyze two-dimensional flow and heat transfer in porous media. The temperature and flowfields resulting from centrifugally-driven free convection in a rotating Hele-Shaw cell are visualized by using a thermosensitive liquid-crystal tracer. The experimental results are compared qualitatively with theoretical predictions of flow and temperature fields in a rotating porous layer.

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