Open Access Open Access  Restricted Access Subscription or Fee Access

Influence of Reynolds and Prandtl Numbers on Thin Film Condensation in Forced Convection in a Canal Covered with a Porous Material


(*) Corresponding author


Authors' affiliations


DOI: https://doi.org/10.15866/irea.v8i5.18678

Abstract


The numerical study of the condensation in thin layers in forced convection of a saturated pure vapor in a channel whose walls are covered with a porous material is presented. The generalized model of Darcy-Brinkman-Forchheimer (DBF) is used to describe the flow in the porous medium, while the classical equations of the boundary layer have been exploited in pure liquid. The dimensionless equations are solved by an implicit finite difference method and the iterative Gauss-Seidel method. This study makes it possible to examine and highlight the role of parameters such as the Reynolds number and the Prandtl number on the longitudinal speed and on the temperature in the porous medium and in the pure liquid, and the rate of heat transfer (local Nusselt number). The increase in Reynolds number and Prandtl number results in an increase in longitudinal velocity and temperature. The tangents of the velocity curves at the porous interface on the middle side are smaller than the ones obtained on the liquid side with a Reynolds number and a low Prandtl number. It is also noted that the increase in Reynolds and Prandtl numbers improves the heat exchanges at the interface of the porous medium and the liquid film.
Copyright © 2020 Praise Worthy Prize - All rights reserved.

Keywords


Condensation; Thin Film; Channel With Porous Wall; Generalized Darcy-Brinkman-Forchheimer Model; Iterative Gauss-Seidel Relaxation Method

Full Text:

PDF


References


Shekarriz A. and Plumb O.-A, Enhancement of film condensation using porous fins, J. Thermo physics and heat Transfer, Vol. 3, 1989, pp. 309-314.
https://doi.org/10.2514/3.28777

Chaynane R., Asbik M., Boushaba H., Zeghmati B., Khmou A. , Study of the laminar film condensation of pure and saturated vapor on the porous wall of an inclined plate. Mechanics & Industries, Vol. 5, No. 4, 2004, pp. 381-391
https://doi.org/10.1051/meca:2004038

Asbik M., Chaynane R., Boushaba H., Zeghmati B. and Khmou A., Analytical investigation of forced convection film condensation on a vertical porous-layer coated surface, Heat and Mass Transfer, Vol. 40 (1-2), 2003, pp. 143 – 155.
https://doi.org/10.1007/s00231-002-0406-8

Ndiaye, M., Mbow, C., Sarr, J., Zeghmati, B., Faye, M., Numerical Investigation of Laminar Forced Thin Film Condensation of a Saturated Vapor Along a Vertical Wall Covered with a Porous Material: Effect of Prandtl and Froude Numbers, (2013) International Journal on Heat and Mass Transfer - Theory and Applications (IREHEAT), 1 (6), pp. 339-344.

Ndiaye, M., Mbow, C., Sarr, J., Zeghmati, B., Numerical Study of the Thin Film-Type Condensation of Saturated Forced Into a Vertical Wall Covered with a Porous Material Vapor Convection, (2013) International Journal on Heat and Mass Transfer - Theory and Applications (IREHEAT), 1 (6), pp. 330-338.

Momath NDIAYE, Cheikh MBOW, Joseph SARR, Numerical Investigation of Laminar Forced Thin Film Condensation of a Saturated Vapor along a Vertical Wall Covered with a Porous Material, 3rd International Francophone Symposium on Energy and Mechanics, Renewable Energies and Mechanics Applied to Industry, pp. 211-216 des Actes, 5-6-7 May 2014, Moroni (Comores) CIFEM 2014.

Momath NDIAYE, Numerical Study of the Thin Film-type Condensation of Saturated Forced into a Vertical Wall Covered with a Porous Material Vapor Convection, Ph.D. dissertation, Dpt of Physics, Cheikh Anta Diop University, Dakar, Senegal, 2014.
https://doi.org/10.21474/ijar01/6655

Patil, A., Patil, T., Chaudhari, A., Performance Evaluation of Passive Solar Water Distillation System with Separate Surface Condenser and Vacuum Pump, (2017) International Review of Mechanical Engineering (IREME), 11 (7), pp. 467-472.
https://doi.org/10.15866/ireme.v11i7.12877

Jha, R., Haribhakta, V., Kolte, A., Shekhadar, S., Tengale, S., Tare, S., Design and Simulation of Condensing Heat Exchanger, (2017) International Review of Mechanical Engineering (IREME), 11 (7), pp. 473-480.
https://doi.org/10.15866/ireme.v11i7.12879

A. Nasr, S. Al-Ghamdi, A, Numerical study of evaporation of falling liquid film on one of two vertical plates covered with a thin porous layer by free convection, Int J Therm Sci 112 (2017) pp.335–344.
https://doi.org/10.1016/j.ijthermalsci.2016.10.018

Abdelaziz Nasr, Heat and mass transfer for liquid film condensation along a vertical channel covered with a thin porous layer, International Journal of Thermal Sciences, 124 (2018) 288-299.
https://doi.org/10.1016/j.ijthermalsci.2017.10.016

Charef A, Feddaoui M, Najim M, Meftah H. Comparative study during condensation of R152a and R134a with presence of non-condensable gas inside a vertical tube. Heat and Mass Transfer. 2018;54:1085-1099.
https://doi.org/10.1007/s00231-017-2205-2

Mohamed El-Sayed MOSAAD and Rashed AL-AJMI, film condensation generated by free convection in a porous medium, Thermal Science, Vol. 22, No. 6B, Year 2018, pp. 2699-2710.
https://doi.org/10.2298/tsci160820316m

Adil Charef, M’barek Feddaoui, Abderrahman Nait Alla, Monssif Najim, Computational Study of Liquid Film Condensation with the Presence of Non-Condensable Gas in a Vertical Tube, Desalination and Water Treatment, Chapter 4, November 5th 2018, pp.55-76.
https://doi.org/10.5772/intechopen.76753

Karima Sellami, Nabila Labsi, Monssif Najim, Youb Khaled Benkahla, Numerical Simulations of Heat and Mass Transfer Process of a Direct Evaporative Cooler From a Porous Layer, Journal of Heat Transfer, Vol. 141 / 071501, July 2019.
https://doi.org/10.1115/1.4043302

Ndiaye, P., 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, (2020) International Journal on Engineering Applications (IREA), 8 (4), pp. 125-132.
https://doi.org/10.15866/irea.v8i4.18687


Refbacks




Please send any question about this web site to info@praiseworthyprize.com
Copyright © 2005-2024 Praise Worthy Prize