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Influence of Thickness of the Porous Layer on Thin Film Condensation in Forced Convection in a Canal Whose Walls are Covered with a Porous Material: Determination of Lengths of Entry

  •   Pape Tamsir Ndiaye
  •   Momath Ndiaye
  •   Goumbo Ndiaye
  •   Omar Ngor Thiam
  •   Mamadou Lamine Sow
  •   Cheikh Mbow

Asian Journal of Physical and Chemical Sciences, Volume 11, Issue 1, Page 13-26
DOI: 10.9734/ajopacs/2023/v11i1192
Published: 8 March 2023

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Abstract


We have examined film condensation in a channel whose walls are covered with porous media numerically. The transfers in the porous medium and the liquid film are respectively described by the Darcy-Brinkman-Forchheimer model and the equations of the hydrodynamic and thermal boundary layers and are solved by the decentered implicit finite difference method and the iterative Gauss-Seidel method.

After validating, the influence of the thickness of the porous layer on the longitudinal velocity and the temperature profiles in both media (pure liquid and porous medium), the thickness of the liquid film, the local Nusselt number and the lengths of entry have been studied.

We note that an increase in the thickness of the porous layer increases the friction and decreases the contact of the fluid with the cold plate and allows a decrease in the longitudinal velocity and an increase in the temperatures in the porous medium and the pure liquid, a decrease liquid film thickness (disadvantaged condensation) and increases the local Nusselt number and also an increase in the length of entry. The increase in length of entry is quasi-linear. The sensitivity of condensation to a change in thickness of the porous layer is constant.

Keywords:
  • Channel with porous wall
  • condensation thin film
  • generalized Darcy-Brinkman- Forchheimer model
  • lengths of entry
  • thickness of the porous layer
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How to Cite

Ndiaye , P. T., Ndiaye, M., Ndiaye, G., Thiam , O. N., Sow, M. L., & Mbow, C. (2023). Influence of Thickness of the Porous Layer on Thin Film Condensation in Forced Convection in a Canal Whose Walls are Covered with a Porous Material: Determination of Lengths of Entry. Asian Journal of Physical and Chemical Sciences, 11(1), 13–26. https://doi.org/10.9734/ajopacs/2023/v11i1192
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References

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Ndiaye PT, Ndiaye M, Mbow C, Ndiaye G. Influence of Reynolds and Prandtl Numbers on Thin Film Condensation in Forced Convection in a Canal Covered with a Porous Material. International Journal on Engineering Applications (IREA). 2020;8(5):178-187. Available:https://doi.org/10.15866/irea.v8i5.18678

Ndiaye PT, Ndiaye M, Mbow C, Ndiaye G. Numerical Study of Thin Film Condensation in Forced Convection in a Canal whose Walls Are Covered with a Porous Material: Influence of Jacob Number- Determination of Lengths of entry. International Journal on Engineering Applications (IREA). 2020;8(4):125-132.

Available:https://doi.org/10.15866/irea.v8i4.18687

Ndiaye PT, Ndiaye M, Ndiaye G, Mbow C. Numerical Study of Thin Film Condensation in Forced Convection in a Canal Whose Walls Are Covered with a Porous Material: Influence of ratio of form-Determination of Lengths of Entry. Journal of Chemical, Biological and Physical Sciences An Interna- tional Peer Review E-3 Journal of Sciences Available online at www.jsbsc.org Section C: Physical Sciences, JCBPS; Section C. 2022;12(3):166-180. DOI: 10.24214/jcbps.C.12.3.16680

Ndiaye G., Sambou V, Ndiaye M, Ndiaye PT. Numerical Study of Thin Film Condensation in Forced Convection on an Inclined Wall Covered with a Porous Material. Open Journal of Applied Sciences. 2022;12:793-805.

Available:https://doi.org/10.4236/ojapps.2022.125053

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