NUMERICAL STUDY OF THE EVAPORATION OF A FALLING OSTWALDIAN FILM ALONG AN INCLINED FLAT PLATE INTO A LAMINAR STREAM OF HUMID AIR

The present paper deals with the evaporation of a falling Ostwaldian film along an inclined isothermal plate into a laminar stream of humid air. The governing boundarylayer and the matching conditions are solved using a finitedifference method. Four liquids are considered : two pseudoplastic, and the other two dilatant. The effect of the air flow conditions, the inclination and the temperature of the plate, as well as the inlet temperature of the film on the evaporation rate and the thickness were studied. A comparative analysis between one dimensional, partial two-dimensional and full two-dimensional approches is made. It was found that the inertia terms cannot be neglected in the momentum equation of the liquid film, and these differences increase as the flow behaviour index increases.

[1]  Ahmed Benkhaled,et al.  Étude numérique du transfert de chaleur entre l'air et un film mince ostwaldien ruisselant en régime laminaire permanent sur une surface plane inclinée isotherme , 2003 .

[2]  M. Feddaoui,et al.  Numerical study of the evaporative cooling of liquid film in laminar mixed convection tube flows , 2001 .

[3]  M. Daguenet,et al.  Étude numérique de l'évaporation dans un courant d'air humide laminaire d'un film d'eau ruisselant sur une plaque inclinée , 2000 .

[4]  J. Li,et al.  Combined heat and mass transfer in a uniformly heated vertical tube with water film cooling , 1998 .

[5]  E. Mezaache,et al.  Etude numérique de l'influence de l'inclinaison sur l'évaporation d'un film liquide s'écoulant sur une paroi plane isotherme ou à flux de chaleur imposé , 1998 .

[6]  M. Daguenet,et al.  Evaporation en convection mixte d'un film mince sécoulant sur une surface plane inclinée , 1996 .

[7]  W. Yan,et al.  Convective heat and mass transfer along an inclined heated plate with film evaporation , 1995 .

[8]  Wei‐Mon Yan Turbulent Mixed Convection Heat and Mass Transfer in a Wetted Channel , 1995 .

[9]  Michel Daguenet,et al.  EVAPORATION EN CONVECTION FORCEE D'UN FILM MINCE S'ECOULANT EN REGIME PERMANENT, LAMINAIRE ET SANS ONDE, SUR UNE SURFACE PLANE INCLINEE , 1994 .

[10]  M. Daguenet,et al.  Numerical study of heat and mass transfer from an inclined flat plate with wet and dry zones , 1992 .

[11]  Tsing-Fa Lin,et al.  Cooling of a falling liquid film through interfacial heat and mass transfer , 1990 .

[12]  Frank Thiele,et al.  Heat and Mass Transfer in Evaporating Two-Component Liquid Film Flow , 1990 .

[13]  T. R. Shembharkar,et al.  Prediction of film cooling with a liquid coolant , 1986 .

[14]  T. Sato,et al.  Heat transfer and flow characteristics of two-phase two-component annular flow , 1983 .

[15]  L. C. Chow,et al.  Evaporation of water into a laminar stream of air and superheated steam , 1983 .

[16]  E. Eckert,et al.  Analysis of heat and mass transfer , 1971 .