Numerical Modeling of the Effect of the Ratio of Thermal Conductivity on the Thin Film Condensation in Forced Convection in a Canal Whose Walls are Covered with a Porous Material
Physical Science International Journal, Volume 26, Issue 11-12,
A numerical modeling of the effect of the ratio of thermal conductivity on the thin film condensation in forced convection in a canal whose walls are covered with a porous material is presented. In this work, the generalized Darcy-Brinkman-Forchheimer (DBF) equations in the porous medium and the hydrodynamic and thermal boundary layer equations in the pure liquid, were used.
Rendered dimensionless and homotopically transformed into a new rectangular basis, we used a finite difference method to discretize them. The advection and the diffusion terms are discretized with respectively a backward-centered scheme and a centered scheme.
After validation, we find that a variation of the longitudinal velocity as a function of the ratio of thermal conductivity only for low values of the Peclet number. When the ratio of thermal conductivity increases, corresponding to an increasingly conductive medium, the longitudinal velocity, the temperature and the Nusselt number increase (even when the Peclet number is high for the thermal field). While the thickness of the liquid film decreases (disadvantaged condensation) and leads to an increase in the length of entry, increase almost linear. The sensitivity of condensation to variations in the ratio of thermal conductivity is constant, whatever its value.
The ratio of thermal conductivity is a very decisive and predictable physical quantity to properly examine the performance of condensation.
- Channel with porous wall
- condensation thin film
- generalized darcy-brinkman- forchheimer model
- iterative gauss-seidel relaxation method
- lengths of entry
- ratio of thermal conductivity
How to Cite
Shekarriz A. and Plumb O.-A. Enhancement of film condensation using porous fins. J. Thermo Physics and Heat Transfer. 1989;3: 309-314.
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. 2004;5(4): 381-391.
Asbik M, Chaynane R, Boushaba H, Zeghmati B, Khmou A. Analytical investigation of forced convection film condensation on a vertical porous-layer coated surface. Heat and Mass Transfer. 2003;40 (1-2):143 – 155.
Momath Ndiaye, Cheikh Mbow, Joseph Sarr, Belkacem Zeghmati, Modou Faye. 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. International Journal on Heat and Mass Transfer Theory and Applications (IREHEAT). 2013;1(6): 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. International Journal on Heat and Mass Transfer Theory and Applications (IREHEAT). 2013;1(6): 330-338.
Ndiaye M, Mbow C, Sarr J. 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. CIFEM; 5-6-7 May 2014. French
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.
Atul A. Patil, Atul, Tejas G. Patil, Aniruddha Y. Chaudhari. Performance evaluation of passive solar water distillation system with separate surface condenser and vacuum pump. International Review of Mechanical Engineering (IREME). 2017;11(7):467-472.
Jha R, Haribhakta V, Kolte A, Shekhadar S, Tengale S, Tare S. Design and simulation of condensing heat exchanger. International Review of Mechanical Engineering (IREME). 2017;11(2) 473-480.
Nasr A, Al-Ghamdi SA. Numerical study of evaporation of falling liquid film on one of two vertical plates covered with a thin porous layer by free convection. International Journal of Thermal Sciences. 2017;112: 335–344.
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. 2018;124:288-299.
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.
Mohamed El-Sayed Mosaad, Rashed Al-Ajmi. Film condensation generated by free convection in a porous medium. Thermal Science. 2018;22(6B):2699-2710.
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;55-76.
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. 2019; 141(7): 071501.
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.
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.
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 International 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.
Ndiaye G., Sambou V., Ndiaye, M. and Ndiaye P.T. 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.
Ndiaye G, Ndiaye M, Sambou V, Ndiaye PT, Sène M, Mbow C. Influence of prandtl number on thin film condensation in forced convection in an inclined wall covered with a porous material. Advances in Materials Physics and Chemistry. 2022;12: 125-140.
Abstract View: 32 times
PDF Download: 16 times