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Free convection boundary layers on axi-symmetric and two-dimensional bodies of arbitrary shape in a saturated porous medium

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  • Effect of orientation on the natural convection heat transfer from a heated triangular prism embedded in porous media

    2022, Case Studies in Thermal Engineering
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    Comparing the values of the mean Nusselt number provides an enhancement of about 6.6% with Bfu over that with Bfd orientation along the considered range of Ra*. This equation is used in comparison with the experimental results obtained in the current work for a triangular prism which shares the same hydraulic diameter as that considered in Ref. [1]. As shown in figure (8), it is clear the same trends for both studies and the average deviation recorded is 5.53% and 7.8% for Bfd and Bfu orientation respectively.

  • An integral treatment for coupled heat and mass transfer by natural convection from a radiating vertical thin needle in a porous medium

    2017, International Communications in Heat and Mass Transfer
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    For the general case of an axi-symmetric body of arbitrary shape, however, the literature is still very scanty. Only a few authors [2,3] have made investigations to report heat transfer related results. From the fundamental perspectives, Nield [4] made the first attempt to study the stability of the convective flow in horizontal layers with imposed temperature and concentration gradients.

  • Bénard convection from a circular cylinder in a packed bed

    2014, International Communications in Heat and Mass Transfer
    Citation Excerpt :

    Therefore, the entire heat transfer from buried cylinders consists of both convection as well as conduction, and in the many cases the contribution of free convection is as large or larger than that of conduction. The first similarity solutions for free convection adjacent to axisymmetric and two-dimensional bodies of arbitrary shaped cylinders and spheres, in a constant porosity medium of infinite extent were obtained by Merkin [16] based on the Darcy's law in the boundary layer. Using the same approach, Cheng [3] proposed a theoretical correlation for the average Nusselt number, to the specific case of a horizontal circular cylinder heated at constant temperature.

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