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Journal of Porous Media

 

ISSN for PRINT: 1091-028X

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$713.00

Issues per year:

8

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2007, Volume10

Issue 4

  97 pages  

DOI: 10.1615/JPorMedia.v10.i4   

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  • Heat and Mass Transports in a One-Dimensional Porous Wick Driven by a Gas-Phase Diffusion Flame
  • Mandhapati P. Raju
    Department of Mechanical and Aerospace Engineering, Case Western Reserve University, Cleveland, OH 44106, USA

    James S. T'ien
    Department of Mechanical and Aerospace Engineering, Case Western Reserve University, Cleveland, OH 44106, USA


    ABSTRACT

    A one-dimensional stagnation point diffusion flame stabilized next to a porous wick is studied using a numerical model. The bottom end of the one-dimensional wick is dipped inside a liquid fuel (ethanol) reservoir. The liquid is drawn toward the surface of the wick through capillary action against gravity. The model combines heat and mass transfer equations in the porous media with phase change and gas-phase combustion equations to investigate the steady state flow structure in the porous wick and the flame characteristics in the gas phase. In this one-dimensional system the only steady solution in the porous wick that is stable is found to be in the funicular regime. There are two regions in the wick: a vapor-liquid two-phase region near the surface exposed to the flame and a purely liquid region below it. The coupling between the flame and the porous transport involves three different length scales: flame standoff distance from the wick surface, wick height above the reservoir, and capillary rise. Attempt is made to study the effect of the nondimensional numbers that contain these scales. Thus a simplified similitude [based on these nondimensional numbers] has been identified.

    DOI: 10.1615/JPorMedia.v10.i4.10

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