Abstract
The problem of condensation by mixed convection in a vertical channel has been numerically analyzed for an air water system. The plates of the channel are subjected to uniform but different heat fluxes. The effects of ambient conditions on the condensation process are investigated. The results show particularly the existence of a particular temperature called inversion temperature for condensation. This temperature is defined as the temperature above it the condensation rate is higher for a lower vapor concentration. It was found that this temperature increases with the increase of the ambient pressure and decreases with the cooling heat flux.
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Abbreviations
- c :
-
mass fraction vapor
- C p :
-
specific heat at constant pressure (kJ/kg K)
- C pa :
-
specific heat for air (kJ/kg K)
- C pv :
-
specific heat for water vapor (kJ/kg K)
- D :
-
mass diffusivity (m2/s)
- d :
-
channel width (m)
- g :
-
gravitational acceleration (m/s2)
- H :
-
channel length (m)
- N x :
-
Knot number in x direction for gas
- N y :
-
Knot number in y direction for liquid
- q w1 :
-
cooling heat flux submitted to the wet plate (kW/m2)
- q w2 :
-
heating heat flux submitted to the dry plate (kW/m2)
- Re :
-
gas Reynolds number, 2u 0/ν 0
- p :
-
pressure (Pa)
- T :
-
temperature (K)
- u :
-
axial velocity (m/s)
- v :
-
transversal velocity (m/s)
- x :
-
axial coordinate (m)
- y :
-
transversal coordinate (m)
- μ:
-
dynamic viscosity (kg/ms)
- ρ:
-
density (kg/m3)
- λ:
-
thermal conductivity (W/mK)
- 0:
-
inlet condition
- w :
-
wall
- inv:
-
inversion
References
Minkowycz WJ, Sparrow EM (1966) Condensation heat transfer in the presence of noncondensables, interfacial resistance superheating, variables properties, and diffusion. Int J Heat Mass Transf 9:1125–1144
Chin YS, Ormiston SJ, Soliman HM (1998) A two-phase boundary-layer model for laminar mixedconvection condensation with a noncondensable gas on inclined plates. Heat Mass Transf 34:271–277
Pan Y (2001) Condensation characteristics inside a vertical tube considering the presence of mass transfer, vapour velocity and interfacial shear. Int J Heat Mass Transf 44:4475–4482
Siow EC, Ormiston SJ, Soliman HM (2002) Fully coupled solution of a two-phase model for laminar film condensation of vapour-gas mixtures in horizontal channels. Int J Heat Mass Transf 45:3689–3702
Yan WM (1992) Effects of film evaporation on laminar mixed heat and mass transfer in a vertical channel. Int J Heat Mass Transf 35(12):3419–3429
Jia L, Chang S Kim, Kim MC (2001) Effects of water vapor condensation on the convection heat transfer of wet flue gas in a vertical tube. Int J Heat Mass Transf 44:4257–4265
Yaghoubi MA, Kazeminejad H, Farshidiyanfar A (1993) Heat and mass transfer with dehumidification in laminar boundary layer flow along a flat plate. J Heat Transf ASME Trans 115:785–788
Ait Hammou Ma, Mir A, Belahmidi A (2003) Numerical simulation of mixed convection heat and mass transfer with liquid film cooling along an insulated vertical channel. Heat Mass Transf 39:445–453
Huang C-C, Yan W-M, Jang J-H (2005) Laminar mixed convection heat and mass transfer in vertical rectangular ducts with film evaporation and condensation. Int J Heat Mass Transf 48:1772–1784
Debissi C, Orfi J, Ben Nasrallah S (2002) Evaporation of water by free or mixed convection into humid and superheated steam. Int J Heat Mass Transf 46:4703–4715
Schawrtze JP, Brocker S (2000) The evaporation of water into air of different humidities and the inversion temperature phenomenon. Int J Heat Mass Transf 43:1791–1800
Boukadida N, Ben Nasrallah S (2000) Water evaporation into air-water vapour mixture and superheated steam effect of radiative heat transfer. Int J Heat Technol 18(2):77–99
Sheikholeslami R, Watkinson AP (1992) Rate of evaporation of water into superheated steam and humidified air. Int J Heat Mass Transf 35:1743–1751
Costa VAF, Neto da Silva F (2003) On the rate of evaporation of water into a steam of dry air, humidified air and superheated steam, and the inversion temperature. Int J Heat Mass Transf 46:3717–3726
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Belhadj Mohamed, A., Orfi, J., Debissi, C. et al. Heat and mass transfer during condensation in a vertical channel under mixed convection. Heat Mass Transfer 43, 851–861 (2007). https://doi.org/10.1007/s00231-006-0176-9
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DOI: https://doi.org/10.1007/s00231-006-0176-9