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Natural Convection Inside a Bidisperse Porous Medium Enclosure

J. Heat Transfer  -- January 2010 --  Volume 132,  Issue 1, 012502 (9 pages)
doi:10.1115/1.3192134

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Author(s):
Arunn Narasimhan, Assistant Professor and B. V. K. Reddy
Department of Mechanical Engineering, Heat Transfer and Thermal Power Laboratory, Indian Institute of Technology Madras, Chennai 600036, India
Bidisperse porous medium (BDPM) consists of a macroporous medium whose solid phase is replaced with a microporous medium. This study investigates using numerical simulations, steady natural convection inside a square BDPM enclosure made from uniformly spaced, disconnected square porous blocks that form the microporous medium. The side walls are subjected to differential heating, while the top and bottom ones are kept adiabatic. The bidispersion effect is generated by varying the number of blocks (N2), macropore volume fraction (phiE), and internal Darcy number (DaI) for several enclosure Rayleigh numbers (Ra). Their effect on the BDPM heat transfer (Nu) is investigated. When Ra is fixed, the Nu increases with an increase in both DaI and DaE. At low Ra values, Nu is strongly affected by both DaI and phiE. When N2 is fixed, at high Ra values, the porous blocks in the core region have negligible effect on the Nu. A correlation is proposed to evaluate the heat transfer from the BDPM enclosure, Nu, as a function of Raphi, DaE, DaI, and N2. It predicts the numerical results of Nu within ±15% and ±9% in two successive ranges of modified Rayleigh number, RaphiDaE.

©2010 American Society of Mechanical Engineers

History: Received 16 May 2009; revised 11 June 2009; published 4 November 2009
doi: http://dx.doi.org/10.1115/1.3192134

KEYWORDS and PACS

Keywords
PACS
  • 47.55.pb
    Thermal convection (nonhomogeneous flows)
  • 47.56.+r
    Flows through porous media
  • 47.60.-i
    Flow phenomena in quasi-one-dimensional systems
  • 47.11.Df
    Finite volume methods in fluid dynamics
  • 47.85.Np
    Fluidics (applied)
  • 02.60.Cb
    Numerical simulation; solution of equations
  • YEAR: 2010

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PUBLICATION DATA

Coden:
JHTRAO
ISSN:
0022-1481 (print)   1528-8943 (online)
Publisher:
AIP is a member of CrossRef ASME

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