ENHANCEMENT OF BOILING AND EVAPORATION ON STRUCTURED SURFACES WITH GRAVITY DRIVEN FILM FLOW OF R-11

Author(s):  
W. Nakayama ◽  
T. Daikoku ◽  
T. Nakajima
2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Ammarah Raees ◽  
Hang Xu

The gravity-driven film flow has been analyzed along a vertical wall subjected to a convective boundary condition. The Boussinesq approximation is applied to simplify the buoyancy term, and similarity transformations are used on the mathematical model of the problem under consideration, to obtain a set of coupled ordinary differential equations. Then the reduced equations are solved explicitly by using homotopy analysis method (HAM). The resulting solutions are investigated for heat transfer effects on velocity and temperature profiles.


2021 ◽  
Vol 135 ◽  
pp. 103443
Author(s):  
R. Kushnir ◽  
I. Barmak ◽  
A. Ullmann ◽  
N. Brauner

2014 ◽  
Vol 745 ◽  
pp. 682-715 ◽  
Author(s):  
Roberto Camassa ◽  
H. Reed Ogrosky ◽  
Jeffrey Olander

AbstractThe gravity-driven flow of a viscous liquid film coating the inside of a tube is studied both theoretically and experimentally. As the film moves downward, small perturbations to the free surface grow due to surface tension effects and can form liquid plugs. A first-principles strongly nonlinear model based on long-wave asymptotics is developed to provide simplified governing equations for the motion of the film flow. Linear stability analysis on the basic solution of the model predicts the speed and wavelength of the most unstable mode, and whether the film is convectively or absolutely unstable. These results are found to be in remarkable agreement with the experiments. The model is also solved numerically to follow the time evolution of instabilities. For relatively thin films, these instabilities saturate as a series of small-amplitude travelling waves, while thicker films lead to solutions whose amplitude becomes large enough for the liquid surface to approach the centre of the tube in finite time, suggesting liquid plug formation. Next, the model’s periodic travelling wave solutions are determined by a continuation algorithm using the results from the time evolution code as initial seed. It is found that bifurcation branches for these solutions exist, and the critical turning points where branches merge determine film mean thicknesses beyond which no travelling wave solutions exist. These critical thickness values are in good agreement with those for liquid plug formations determined experimentally and numerically by the time-evolution code.


2006 ◽  
Vol 18 (8) ◽  
pp. 083602 ◽  
Author(s):  
Helge I. Andersson ◽  
Bidyut Santra ◽  
Bhabani S. Dandapat

2019 ◽  
Vol 31 (12) ◽  
pp. 122104 ◽  
Author(s):  
Joel P. Kuehner ◽  
Jared D. Mitchell ◽  
Margaret R. Lee

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