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Natural Convection in a Cavity Filled with a Porous Medium with Variable Porosity and Darcy Number

卷 11, 册 7, 2008, pp. 655-667
DOI: 10.1615/JPorMedia.v11.i7.40
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摘要

This work presents a numerical analysis of the natural convection in a squared cavity with isothermal vertical walls. The cavity is filled with a saturated porous medium, and the classical equations for natural convection, mass, momentum, and energy balance, together with Brinkman's and Forchheimeir's models, are used to study the phenomenon. The system of equations is numerically solved through the finite volume method. For porous media with constant porosity, the results are compared to those found in the literature, with very good agreement. The influence of the variation of Darcy number in media with variable porosity is investigated. The results indicate that the inclusion of the variation of Darcy number affects significantly the velocity and temperature fields as well as the values of heat transfer rates.

对本文的引用
  1. Kaurangini M. L., Jha B. K., Unsteady generalized Couette flow in composite microchannel, Applied Mathematics and Mechanics, 32, 1, 2011. Crossref

  2. Nield Donald A., Bejan Adrian, Internal Natural Convection: Heating from the Side, in Convection in Porous Media, 2017. Crossref

  3. Kaurangini M.L., Jha Basant K., Transient pressure-driven flow in interface region between a uniform porous medium and a clear fluid in parallel-plate with suction/injection, International Journal of Management Science and Engineering Management, 5, 1, 2010. Crossref

  4. Nield Donald A., Bejan Adrian, Internal Natural Convection: Heating from the Side, in Convection in Porous Media, 2013. Crossref

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